There are $10$ pairs of shoes in a cupboard from which $4$ shoes are picked at random. The probability that there is at least one pair, is
$\frac{{99}}{{323}}$
$\frac{{224}}{{323}}$
$\frac{{100}}{{323}}$
None of these
Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of heart
A bag contains $30$ balls numbered from $1$ to $30$, one ball is drawn randomly. The probability that number on the ball is multiple of $5$ or $7$ is
A die has two faces each with number $^{\prime}1^{\prime}$ , three faces each with number $^{\prime}2^{\prime}$ and one face with number $^{\prime}3^{\prime}$. If die is rolled once, determine $P($ not $3)$
A card is selected from a pack of $52$ cards. How many points are there in the sample space?
Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space.