MHT CET HOT Que.Series 11Sep Maths Binomial Distribution

If two coins are tossed five times, then the probability of getting 5 heads and 5 tails is

A six faced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. If it is thrown twice the probability that the sum of two numbers thrown is even, is

An unbiased coin is tossed n times. Let X denote the number of times head occurs. If P (X = 4), P (X = 5) and P (X= 6) are in AP, then the value of n can be

The probability that an event A happens in one trial of an experiment is 0.4. Three independent trials of the experiment are formed. The probability that the event A happens atleast once is

The probability that a marksman will hit a target is given as 1/5. Then, the probability that at least one hit in 10 shots is

A carton contains 20 bulbs, 5 of which are defective. The probability that, if a sample of 3 bulbs is chosen at random from the carton, 2 will be defective, is

If X follows a binomial distribution with parameters n = 8 and p =1/2, then P (|X – 4| ≤ 2)
equal

The mean and variance of a binomial variable X are 2 and 1 respectively. The probability that X takes values greater than 1, is

For a binomial variate X with n = 6, if P(X = 2) = 9P(X = 4), then its variance is