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JEE 2020 Mathematics : Baye's Theorem & Probability distribution (02.10.2019)

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Question 1

If there are two events A and B such that P(A’)=0.3,P(B)=0.5 and P(A∩B)=0.3, then P(B/A∪B’) is ______

Question 2

Let A and B be two events such that P(A)=0.3. if A & B are two independent events, then P(A’/B) is _____

Question 3

Let E and F be two independent events such that P(E)<P(F). The probability that both E and F happens is

and the probability that neither E nor F happens is 0.5. Then P(E/F) is given by _____

Question 4

The probability that A speaks the truth is 3/5, while the probability that B speaks truth is 4/5. The probability that they contradict each other on a fact is?

Question 5

In a certain city 40% of the people have brown hair, 25% have brown eyes and 15% have brown eyes as well as brown hair. If a person selected at random has brown hair, the probability that the also has brown eyes, is equal to

Question 6

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is:

Question 7

The probability of India winning a test match against West-Indies is 1/2 assuming independence from match to match. The probability that in a three test match series India’s second win occurs at the third test is:

Question 8

From a lot of 10 items containing 2 defective samples. A sample of 3 items is drawn at random. Find the probability that atmost 1 is defective.

Question 9

In a simultaneous toss of four coins, what is the probability of getting exactly three heads

Question 10

A die is tossed twice. Getting a number greater than 4 is considered a success. Then the variance of the probability distribution of the number of successes is

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