Probability

If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is $p$, then $96 p$ is equal to ......

If $x$ follows a binomial distribution with parameters $n=100$ and $p=\frac{1}{3}$, then $p(X=r)$ is maximum when $r$ equals

Let $u_1$ and $u_2$ be two urns such that $u_1$ contains 3 white, 2 red balls and $u_2$ contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is drawn at random from urn $u_1$ and put into…

If $m$ things are distributed among a men and $b$ women. Then, the chance that the number of things received by men is odd, is

If $X$ follows a binomial distribution with parameters $n=8$ and $p=\frac{1}{2}$, then $P(|x-4| \leq 2)$ is equal to

A multiple choice examination has 5 questions. Each question has 4 alternative answer of which exactly one is correct. The probability that a student will get 4 or more correct answer just by guessing is

The least number of times a fair coin must be tossed so that the probability of getting atleast one head is atleast 0.8 is

Let $X$ denotes the number of times heads occur in $n$ tosses of a fair coin. If $P(X=4)$, $P(X=5)$ and $P(X=6)$ are in AP, then the value of $n$ is

An unbaised coin is tossed $n$ times. If the probability of getting 5 heads is equal to the probability of getting 6 heads, then the probability of getting 3 heads is

Fifteen coupons are numbered 1, 2, ..., 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9 , is

In a trial, the probability of success is twice the probability of failure. In six trial, the probability of atleast four successes will be

If $x$ follows a binomial distribution with parameters $n=100$ and $p=\frac{1}{3}$, then $p(X=r)$ is maximum when $r$ equals