Four cards are drawn successively with replacement from a well-shuffled deck of $52$ cards. The probability that exactly two cards are club cards is: (in $/128$)

There are $5 \%$ defective items in a large bulk of items. What is the probability that a sample of $10$ items will include not more than one defective item?

$A$ die is thrown thrice. If getting $1$ or $6$ in a single throw is considered as success, then the variance of the number of successes is

Tom and Jerry play a game of alternately throwing an unfair coin. The first one to get a head wins. If Tom starts the game,he has a $62.5 \%$ chance of winning. Suppose this coin is tossed $5$ times,then the probability of getting exactly $3$ heads is

If a random variable $X$ follows the Binomial distribution $B(10, p)$ such that $5 P(X=0) = P(X=1)$,then the value of $\frac{P(X=5)}{P(X=6)}$ is equal to

If $X$ follows a binomial distribution with parameters $n = 6$ and $p$ and $4(P(X = 4)) = P(X = 2)$,then $p = $