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

Two cards are drawn successively with replacement from a well-shuffled pack of $52$ cards. Then the probability distribution of the number of kings 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 not more than $2$ will bear $'Y'$ mark.

$A$ box contains $20\%$ defective bulbs. Five bulbs are chosen randomly from this box. The probability that exactly $3$ of the chosen bulbs are defective is

$A$ fair coin is tossed a fixed number of times. If the probability of getting $7$ heads is equal to the probability of getting $9$ heads,then the probability of getting $2$ heads is: