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Class XII Maths Probability 3

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Question 1

At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with an average of 5 phone calls during 10–minutes time intervals. The probability that there is at the most one phone call during a 10–minute time period is

Question 2

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is

Question 3

The probability that A speaks truth is

, while this probability for B is

. The probability that they contradict each other when asked to speak on a fact is

Question 4

4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is

Question 5

A box contains 6 red marbles numbers from 1 to 6 and 4 white marbles 12 to 15. Find the probability that a marble drawn ‘at random’ is white and odd numbered.

Question 6

If the mean and variance of a binomial distribution are 4 and 2, respectively. Then, the probability of atleast 7 successes is

Question 7

A fair coin is tossed a fixed number of times. If the probability of getting exactly 3 heads equals the probability of getting exactly 5 heads, then the probability of getting exactly one head is

Question 8

If 5 distinct balls are placed at random into 5 cells, then the probability that exactly one cell remains empty is

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Apr 9JEE & BITSAT