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Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - JEE MCQ
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8 Questions MCQ Test Daily Test for JEE Preparation - Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan)
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Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 1
From past experience it is known that an investor will invest in security A with a probability of 
, will invest in security B with a probability 
and will invest in both 
and 
with a probability of 
. What is the probability that an investor will invest neither in A nor in B?
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 1
and
neither in 
nor in 
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 2
If A, B, C are events such that P(A) = 0.3,P(B) = 0.4, P(C) = 0.8, P(A∩B) = 0.08, P(A∩C) = 0.28 P(A∩B∩C) = 0.09 If P(A ∪ B ∪ C) ≥ 0.75, then find the range of x = P(B∩C) lies in the interval
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 2
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 3
A machine has three parts, 
and 
, whose chances of being defective are 
and 
respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?
and , whose chances of being defective are and respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 3
are independent events 
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 4
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then the value of 
is: (where 
are complements of 
and 
respectively)
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 4
and 
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 5
An aircraft has three engines 
and 
. The aircraft crashes if all the three engines fail. The probabilities of failure are 
and 
for engines 
and 
respectively. What is the probability that the aircraft will not crash?
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 5
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 6
Let A and B be two events. Then 1+P(A∩B)−P(B)−P(A) is equal to
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 6
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 7
Given two mutually exclusive events A and B such that P(A) = 0.45 and P(B) = 0.35, P(A∩B) is equal to
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 7
Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 8
If 
and 
are independent events of a random experiment such that 
and 
, then 
is equal to (Here, 
is the complement of the event 
)
Detailed Solution for Probability: Probability of an Event, Addition and Multiplication Theorem(13 Jan) - Question 8
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