Class 12 Exam  >  Class 12 Notes  >  Sample Papers for Class 12 Medical and Non-Medical  >  Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3

Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical PDF Download

Class-XII


Time: 120 Minutes


Max. Marks: 40

General Instructions :

  1. This question paper contains three sections A, B and C. Each part is compulsory.
  2. Section - A has 6 short answer type (SA1) questions of 2 marks each.
  3. Section - B has 4 short answer type (SA2) questions of 3 marks each.
  4. Section - C has 4 long answer type questions (LA) of 4 marks each.
  5. There is an internal choice in some of the questions.
  6. Q14 is a case-based problem having 2 sub parts of 2 marks each.

Section - A

Q.1. Find Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
OR
Evaluate Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical

Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
OR
Let I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= [-cosπ + cos0] - [-cos2π + cosπ]
= [1 + 1] - [ -1 - 1]
= 2 + 2
= 4


Q.2. Find the general solution of the differential equation Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical.

dy/dx = ex+y
= ex . ey
⇒ dy/ey = exdx
⇒ e-ydy= exdx
Integrating both sides, we get:
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ -e-y = ex + k
⇒ ex + e-y = -k
⇒ ex + e-y = C (where, C= -) 1


Q.3. Let Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical be two-unit vectors and q be the angle between them. Then for what value of θ, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical + Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medicalis a unit vector.

Let Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical be two-unit vectors and q be the angle between them.
Then, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Now , Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical is a unit vector then
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ cosθ = -1/2
⇒ θ = 2π/3
So that, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical is a unit vector if θ = 2π/3


Q.4. Find the cartesian equation of the line which passes through the point (– 2, 4, – 5) and is parallel to the line Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical.

Given line Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical 
[If two lines are parallel, then they both have proportional direction ratio]
or Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Here,  given point is (– 2, 4, – 5) with D.R’s. 3, – 5, 6
Therefore, cartesian equation of parallel line will be :
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
or Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical


Q.5. A refrigerator box contains 2 milk chocolates and 4 dark chocolates. Two chocolates are drawn at random. Find the probability distribution of the number of milk chocolates. What is the most likely outcome?

Let X denote the number of milk chocolates drawn

Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Most likely outcome is getting one chocolate of each type.


Q.6. If P(not A) = 0.7, P(B) = 0.7 and P(B/A) = 0.5, then find P(A/B).

Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical=  0.7 ⇒ 1 -P(A)=0.7 ⇒ P(A)=0.3
P(A∩B) = P(A)P(B/A) = 0.3 x 0.5 = 0.15
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical = 0.15/0.7 = 15/70 or 3/14

Section - B

Q.7. Find the value of Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical

Let
I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical ...(i)
Apply,
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical..(ii)
Adding equations (i) and (ii), we obtain
2I = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-MedicalClass 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ 2I= 0
⇒ I= 0


Q.8. Find the general solution of dy/dx + ytan x = sec x.
OR
Solve the differential equation:
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical = 0
Given that x = 1 when y = π/2.

Given differential equation is
dy/dx + ytan x = sec x
which is a linear differential equation
Here, P  = tan x, Q = sec x,
∴ IF = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= sec x
The general solution is
y . sec x = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ y . sec x = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ y . sec x = tanx + C
OR
We have,
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical = 0
⇒ dy/dx = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical ...(i)
Above differential equation is a homogeneous equation
Put y = vx
Then, dy/dx = v + xdv/dx ...(ii)
From (i) and (ii),
⇒  v + xdv/dx = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒  v + xdv/dx = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒  v + xdv/dx = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ xdv/dx = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ xdv/dx = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical 
⇒ xdv/dx = -1/sin v
⇒ sin vdv = -1/xdx [Here x ≠ 0]
Now, integrating both sides
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
⇒ -cos v = -log |x| + C
Put, v = y/x0
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical = -log |x| + C ...(iii)
Also, given that x = 1, when y = π/2
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
C= 0
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Therefore log |x| = cos(y/x) is the required solution.


Q.9. If Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical represent two adjacent sides of a parallelogram, find unit vectors parallel to the diagonals of the parallelogram.

Given that, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical are two adjacent sides of a parallelogram.
Let us suppose Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical are two diagonals of parallelogram.
Then,  Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Now, unit vector parallel to Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical,
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
And unit vector parallel to Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical,
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical


Q.10. Find the shortest distance between the lines:

Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
OR
A plane meets the co-ordinate axes at A, B and C such that the centroid of ΔABC is the point (α, β, γ). Show that the equation of the plane is x/α + y/β + z/γ = 3.

Equations of lines can be written as :
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Here, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical and Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Then, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
and, Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
∴ Shortest distance
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= 3/√2 or 3√2/2 units
OR
Since, the equation of the plane having intercept a, b and c on the three co-ordinate axes is:
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
Here, the co-ordinates of A, B and C are (a, 0, 0), (0, b, 0) and (0, 0, c) respectively.
The centroid of ΔABC is Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical.
Equating Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical to (α, β, γ) we get a = 3α,  b = 3β and c = 3γ
Thus, the equation of the plane is
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical = 1
or x/α + y/β + z/γ = 3

Section - C

Q.11. Evaluate : Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical.

The given definite integral
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical + Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical - Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical - Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= 9/4 + 1/4 + 1/4 = 11/4


Q.12. Using integration, find the area of the region in the first quadrant enclosed by the line x + y = 2, the parabola y2 = x and x-axis.
OR
Using integration, find the area of the region
{(x, y) : 0 ≤  y ≤ √3x,  x2 + y≤  4}

Solving x + y = 2 and y2 = x simultaneously, we get the points of intersection as (1, 1) and (4, – 2).
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
The required area = The shaded area
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= 2/3 + 1/2 = 7/6 square units
OR
Solving y  = √3x and x2 + y2 = 4, we get the points of intersection as (1, √3 )and ( -1, -√3 )
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
The required area = The shaded area
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= 2π/3 square units


Q.13. Find the foot of the perpendicular from the point (1, 2, 0) upon the plane x – 3y + 2z = 9. Hence, find the distance of the point (1, 2, 0) from the given plane.

The equation of the line perpendicular to the plane and passing through the point (1, 2, 0) is
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
The coordinates of the foot of the perpendicular are (μ + 1, –3μ + 2, 2μ) for some μ
These coordinates will satisfy the equation of the plane. Hence, we have
μ + 1 -3(–3μ + 2) + 2(2μ)= 9

⇒ μ = 1
The foot of the perpendicular is (2, –1, 2). 1 Hence, the required distance
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= √14 units

Case-Based/Data Base

Q.14. An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-MedicalThe company's statistics show that an accident-prone person will have an accident at sometime within a fixed one-year period with probability 0.6, whereas this probability is 0.2 for a person who is not accident prone. The company knows that 20 percent of the people is accident prone. 
Based on the given information, answer the following questions.
(i) What is the probability that a new policyholder will have an accident within a year of purchasing a policy?
(ii) Suppose that a new policyholder has an accident within a year of purchasing a policy. What is the probability that he or she is accident prone?

Let E=The policy holder is accident prone.
E= The policy holder is not accident prone.
E = The new policy holder has an accident within a year of purchasing a policy.
(i) P(E) = Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
(ii) By Bayes' Theorem,
Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical 
= Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical
= 3/7

The document Class 12 Mathematics: CBSE Sample Question Paper- Term II (2021-22)- 3 | Sample Papers for Class 12 Medical and Non-Medical is a part of the Class 12 Course Sample Papers for Class 12 Medical and Non-Medical.
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