The incidence of occupational disease in an industry is such that the workmen have a $10 \%$ chance of suffering from it. The probability that out of $5$ workmen,$3$ or more will contract the disease is

$A$ die is tossed twice. Getting a number greater than $4$ is considered a success. Then the variance of the probability distribution of the number of successes 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

$A$ coin is tossed $100$ times. What is the probability of getting a tail an odd number of times?

$A$ shooter can hit a given target with probability $\frac{1}{4}$. She keeps firing a bullet at the target until she hits it successfully three times and then she stops firing. The probability that she fires exactly six bullets lies in the interval