One bag contains  $3$ white balls, $7$ red balls and $15$ black balls. Another bag contains $10$ white balls, $6$ red balls and $9$ black balls. One ball is taken from each bag. Find the probability that both balls will be of the same colour.

In bag A, there are $5$ white and $8$ red balls, in bag B, $7$ white and $6$ red balls, and in bag C, $6$ white and  $5$red balls. One ball is taken out at random from each bag. Find the probability that all the three balls are of the same colour.

In a group of students, there are $3$ boys and $3$ girls. Four students are to be selected at random from the group. Find the probability that either $3$ boys and $1$ girl, or $3$ girls and $1$ boy are selected.

X is taking up subjects Mathematics, Physics and Chemistry in the examination. His probabilities of getting grade A in these subjects are $0.2$, $0.3$ and $0.5$ respectively. Find the probability that he gets grade A in all subjects.

X is taking up subjects Mathematics, Physics and Chemistry in the examination. His probabilities of getting grade A in these subjects are $0.2$, $0.3$ and $0.5$ respectively. Find the probability that he gets grade A in no subject

X is taking up subjects Mathematics, Physics and Chemistry in the examination. His probabilities of getting grade A in these subjects are $0.2$, $0.3$ and $0.5$ respectively. Find the probability that he gets grade A in two subjects.

Three cards are drawn from a pack of well-shuffled $52$ cards. Find the probability that all the three cards are of the same suit.

Three cards are drawn from a pack of well-shuffled $52$ cards. Find the probability that one is a king, the other is a queen and the third is a jack.

A bag contains $5$ white and $4$ black balls and another bag contains $7$ white and $9$ black balls. A ball is drawn from the first bag and two balls drawn from the second bag. What is the probability of drawing one white and two black balls?