RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions for Class 9 Mathematics

Created by: Abhishek Kapoor

Class 9 : RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

The document RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.
All you need of Class 9 at this link: Class 9

Q1. A coin is tossed 1000 times with the following sequence: Head: 455, Tail = :545. Compute the probability of each event

Answer: It is given that the coin is tossed 1000 times. The number of trials is 1000

Let us denote the event of getting head and of getting tails be E and F respectively. Then

Number of trials in which the E happens = 455

So, Probability of  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

Similarity, the probability of the event getting a tail  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev


Q2. Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:

TWO HEADS: 95 times

ONE HEADS: 290 times

NO HEADS: 115 times

Find the probability of occurrence of each of these events

Answer:

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev
RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

Q3. Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes:

OUTCOMENO HEADONE HEADTWO HEADTHREE HEAD
FREQUENCY14383612

 

 If the three coins are tossed simultaneously again, compute the probability of:

1.  heads coming up

2. heads coming up

3. At least one Head coming up

4. Getting more Tails than Heads 

5. Getting more heads than tails

ANS:

1: Probability of 2 Heads coming up  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

2. Probability of 3 Heads coming up  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

3. Probability of at least one head coming up  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

4. Probability of getting more Heads than Tails  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

5. Probability of getting more tails than heads RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

Q4. 1500 families with 2 children were selected randomly, and the following data were recorded:

No of girls in a family012
No of girls211814475


If a family is chosen at random, compute the probability that it has:

1. No girl

2. 1 girl

3. 2 girls

4. At most one girl

5. More girls than boys


Answer

1. Probability of having no girl in a family RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

2. Probability of having 1 girl in a family  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

3. Probability of having 2 girls in a family RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

4. Probability of having at the most one girl  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

5. Probability of having more girls than boys  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

Q5. In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that:

1. He hit a boundary

2. He did not hit a boundary.

Answer

Number of times the batsman hits a boundary= 6

Total number of balls played= 30

Number of times the batsman did not hit a boundary= 30-6 = 24

1. Probability that the batsman hits a boundary  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

= 6/30

= 1/5


2. Probability that the batsman does not hit a boundary

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

= 24/30

= 4/5


Q6. The percentage of marks obtained by a student in the monthly unit tests are given below:

UNIT TESTIIIIIIIVV
PERCENTAGE OF MARK OBTAINED6971736876


Find the probability that the student gets

1. More than 70% marks

2. Less than 70% marks

3. A distinction

Answer:

1: Let E be the event of getting more than 70% marks

No of times E happens=3

Probability(Getting more than 70%)  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

2. Let F be the event of getting less than 70% marks

No of times F happen = 2

Probability(Getting less than 70%) RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

3. Let G be the event of getting distinction

No of times G happen = 1

Probability(Getting distinction) = RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

Q7. To know the opinion of the students about Mathematics, a survey of 200 students were conducted. The data was recorded in the following table

Opinion  LikeDislike
Number of students  13565

 

Find the probability that student chosen at random:

1. Likes Mathematics

2. Does not like it.

Answer

1. Probability that a student likes mathematics RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

2. Probability that a student does not like mathematics  RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions Ex-25.1, (Part - 1), Probability, Class 9, Maths Class 9 Notes | EduRev

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