The probability that a bulb produced by a factory will fuse after $150$ days of use is $0.05$. Find the probability that out of $5$ such bulbs,none will fuse after $150$ days.

The probability of a person hitting a bird is $3/4$. If he tries $5$ times,what is the probability that he will not hit the bird even once (in $/1024$)?

$A$ bag contains $4$ red and $3$ black balls. One ball is drawn and then replaced in the bag and the process is repeated. Let $X$ denote the number of times a black ball is drawn in $3$ draws. Assuming that at each draw each ball is equally likely to be selected,then the probability distribution of $X$ is given by:

If $X \sim B\left(8, \frac{1}{2}\right)$,then $P(|X-4| \leq 2) = $

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:

In a box containing $100$ eggs,$10$ eggs are rotten. The probability that out of a sample of $5$ eggs none is rotten if the sampling is with replacement is