The letters of the word $SOCIETY$ are arranged in a row. What is the probability that the $3$ vowels come together?

If $P(A) = 2/3$,$P(B) = 1/2$ and $P(A \cup B) = 5/6$,then events $A$ and $B$ are

$A$ bag $A$ contains $2$ white and $3$ red balls and bag $B$ contains $4$ white and $5$ red balls. One ball is drawn at random from a randomly chosen bag and is found to be red. The probability that it was drawn from bag $B$ is:

$A$ problem in Mathematics is given to three students $A, B$,and $C$. Their respective probabilities of solving the problem are $\frac{1}{2}, \frac{1}{3}$,and $\frac{1}{4}$. What is the probability that the problem is solved?

The probability that a leap year selected at random contains either $53$ Sundays or $53$ Mondays is

$A$ bag contains $7$ black and $5$ white balls. $A$ ball is drawn out and replaced in the bag. Then a ball is drawn again. What is the probability that both the balls drawn were white?