If two coins are tossed $5$ times,then the probability of getting $5$ heads and $5$ tails is

An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number $2$ times is equal to the probability of getting an even number $3$ times,then the probability of getting an odd number for an odd number of times is

Two cards are drawn at random one after the other with replacement from a pack of $52$ playing cards. Then the variance of the random variable of the number of spade cards among the drawn cards is

$A$ man takes a step forward with probability $0.4$ and backwards with probability $0.6$. The probability that at the end of eleven steps,he is one step away from the starting point is

In a shelf, there are $3$ mathematics and $2$ physics books. $A$ student takes a book randomly. If he takes a book randomly, successively for $3$ times by replacing the book already taken every time, then the mean of the number of mathematics books, which is treated as a random variable, is:

An objective type test paper has $5$ questions. Out of these $5$ questions, $3$ questions have four options each $(a, b, c, d)$ with one option being the correct answer. The other $2$ questions have two options each, namely true and false. $A$ candidate randomly ticks the options. Then, the probability that he/she will tick the correct option in at least four questions, is