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Class XI Maths Probability Quiz 3

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Question 1

Six persons try to swim across a wide river. On an average only 3 out of 10 people can swim across the river. What is the probability that atmost 4 out of 6 people can cross the river safely?

Question 2

One bag contains 2 white balls and 2 black balls and other contains 3 white and 5 black balls. A bag and one ball from that bag is chosen at random and ball is replaced. This trial is repeated 6 times. Then probability that there are exactly five white balls drawn is

Question 3

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

Question 4

In a binomial distribution B

, if the probability of at least one success is greater than or equal to 9/10, then n is greater than

Question 5

If 12 different balls are to be placed in 3 different boxes, then the probability that one of the boxes contains exactly 3 balls is

Question 6

One hundred identical coins, each with probability, p, of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p 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

The probability of atleast one double six being thrown in n throws with two ordinary dice is greater than 99%
Then, the least numerical value of n is

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Apr 9JEE & BITSAT