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Probability Quiz

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Question 1

Three numbers are chosen at random without replacement from 1,2,3,….8. The probability that their minimum is 3, given that their maximum is 6, is______

Question 2

Let A and B be two events such that P(AB’)=0.20,P(A’B)=0.15,P(A’B’)=0.1,then P(A/B) is equal to

Question 3

In India, 51% of the adults are males. One adult is randomly selected for a survey involving credit card usage. It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars. find the probability that the selected subject is a male.

Question 4

Three dice are thrown at the same time. Find the probability of getting three two’s, if it is known that the sum of the numbers on the dice was six.

Question 5

Two numbers are drawn at random from the integers 1 to 9. If the sum of numbers is even, find the probability that both are odd.

Question 6

Which one of the following option is correct?

Question 7

A speaks the truth in 75% cases where B speaks the truth in 20% cases. The probability of A speaking the truth under condition that B is speaking the truth is?

Question 8

The probability that in a year of the 22nd century chosen at random at random, there will be 53 Sunday, is

Question 9

A bag A contain 2 white balls and 3 red balls, another bag B contains 4 white and 5 black balls. A bag is selected at random and a ball is drawn from it. Drawn ball is observed to be white. Find the probability that bag B is selected.

Question 10

A computer producing factory has only two plants T1 and T2. Plant T1 produces 20% and plant T2 produces 80% of the total computer produced. 7% of computers produced in the factory turn out to be defective. It is known that P(computer turns out to be defective given that it is produced in plant T1)=10P(computer turns out to be defective given that it is produced in plant T2), When P(E) denotes the probability of an event E. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability it is produced in plant T2 is____
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