Two dice are thrown together. If the numbers appearing on the two dice are different,then what is the probability that the sum is $6$?

$A$ six-faced die is biased such that it is twice as likely to show an even number as an odd number when thrown. If it is thrown twice, what is the probability that the sum of the two numbers obtained is even?

If $E$ and $F$ are events with $P(E) \le P(F)$ and $P(E \cap F) > 0,$ then

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. If $2$ balls are drawn from the urn with replacement,find the probability of getting at least $2$ successes.

The probability that in a year of the $22^{nd}$ century chosen at random there will be $53$ Sundays is

Four persons are selected at random from a group of $3$ men,$2$ women and $4$ children. The chance that exactly two of them are children is