The probability of getting either all heads or all tails for exactly the second time in the $3^{rd}$ trial,if in each trial three coins are tossed,is

The mean and variance of a binomial variable $X$ are $2$ and $1$ respectively. The probability that $X$ takes values greater than $1$ is:

Two cards are drawn successively with replacement from a well-shuffled pack of $52$ cards. The mean of the number of kings is:

$A$ fair coin is tossed $100$ times. The probability of getting tails an odd number of times is

$A$ fair coin is tossed a fixed number of times. If the probability of getting $7$ heads is equal to that of getting $9$ heads,then the probability of getting $3$ heads is

If a Bernoulli trial is conducted $n$ times,then which one of the following is not suitable to use Poisson distribution?
$(i)$ Each trial results in two mutually exclusive outcomes namely success,failure.
(ii) The number $n$ of such trials is sufficiently large.
(iii) The trials are independent of each other.
(iv) The probability $p$ of success in each trial is very large.