$A$ medicine for fever can cure $75\%$ of the people. Three people suffering from fever use this medicine. What is the probability that all three people are cured?

Two dice are thrown simultaneously. If $X$ denotes the number of sixes,then the expectation of $X$ is

Each of the persons $A$ and $B$ independently tosses three fair coins. The probability that both of them get the same number of heads is:

An urn contains $25$ balls of which $10$ balls bear a mark $'X'$ and the remaining $15$ bear a mark $'Y'$. $A$ ball is drawn at random from the urn,its mark is noted down and it is replaced. If $6$ balls are drawn in this way,find the probability that all will bear $'X'$ mark.

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

$A$ die is tossed twice. Getting a number greater than $4$ is considered a success. Then the variance of the probability distribution of the number of successes is