Four persons independently solve a certain problem correctly with probabilities $\frac{1}{2}, \frac{3}{4}, \frac{1}{4}, \frac{1}{8}$. Then the probability that the problem is solved correctly by at least one of them is
$\frac{235}{256}$
$\frac{21}{256}$
$\frac{3}{256}$
$\frac{253}{256}$
A committee has to be made of $5$ members from $6$ men and $4$ women. The probability that at least one woman is present in committee, is
A bag contains $8$ black and $7$ white balls. Two balls are drawn at random. Then for which the probability is more
A three digit number is formed by using numbers $1, 2, 3$ and $4$. The probability that the number is divisible by $3$, is
In a lottery $50$ tickets are sold in which $14$ are of prize. A man bought $2$ tickets, then the probability that the man win the prize, is
From eighty cards numbered $1$ to $80$, two cards are selected randomly. The probability that both the cards have the numbers divisible by $4$ is given by