$A$ die is thrown $5$ times. If getting an odd number is considered a success,what is the variance of the probability distribution?

In a multiple-choice examination, there are $10$ questions with one correct option out of $4$ options for each question. $A$ student gets $4$ marks for each correct answer and $1$ mark is deducted for each incorrect answer. The probability that a student, guessing randomly on every question, scores $30$ marks in this exam is... (in $/4^{10}$)

Let $X \sim B(6, 1/2)$,then $P[|X-4| \leq 2]$ is

If the mean and the variance of a Binomial variate $X$ are $2$ and $1$ respectively,then the probability that $X$ takes a value greater than or equal to $1$ is

The probability of a coin showing head is $p$ and then $100$ such coins are tossed. If the probability of $50$ coins showing head is same as the probability of $51$ coins showing head, then $p$ equals

If $X$ follows the Binomial distribution with parameters $n=6$ and $p$ and $9 P(X=4) = P(X=2)$,then $p$ is