If the sum of mean and variance of a binomial distribution for $5$ trials is $1.8$,then the probability of success is:

If a random variable $X$ follows the Binomial distribution $B(33, p)$ such that $3 P(X=0) = P(X=1)$,then the variance of $X$ is

The maximum value of the variance of a Binomial distribution with parameters $n$ and $p$ 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

$A$ target is to be destroyed in a bombing exercise and there is a $75 \%$ chance that a bomb will hit the target. Assuming that two direct hits are required to destroy the target completely,the minimum number of bombs to be dropped in order that the probability of destroying the target is not less than $99 \%$,is

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