$A$ die is thrown $5$ times. Getting an odd number is considered a success. Find the variance of the distribution of successes.

The probability that an event will fail to happen is $0.05$. The probability that the event will take place on $4$ consecutive occasions is

If three dice are thrown together,then the probability of getting $5$ on at least one of them is

$A$ person tossing a biased coin indefinitely wins the game by getting head for the first time. The probability that he wins the game in an odd number of tosses is $3/4$. If $5$ such coins are tossed at a time, then the probability that head appears on all the coins is:

$A$ die is thrown $(2n+1)$ times. The probability of getting $1$ or $3$ or $4$ at most $n$ times on it is

Let $X \sim B(6, 1/2)$. Then the maximum probability occurs at