Question

One card is drawn randomly from a well shuffled pack of $52$ playing cards. Find the probability that the drawn card is a heart with number less than $10$ (Considering Ace to be $1$).

Answer 1

The total number of outcomes of a deck of $52$ cards are $52$.

Since, there are $13$ cards of heart in a deck of $52$ cards, therefore, the total number of favourable outcome that it is a heart with number less than $10$ is $9$.

Therefore, probability $P$ of not getting a heart with number less than $10$ is:

$P=\frac{9}{52}$

Hence, the probability of not getting a heart with number less than $10$is $\frac{9}{52}$.