Question

One card is drawn randomly from a well shuffled pack of $52$ playing cards. Find the probability that the drawn card is not a diamond.

Answer 1

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

Since, there are $13$ cards of diamond in a deck of $52$ cards, therefore, the total number of favourable outcome that it is not a diamond is $52-13=39$.

Therefore, probability $P$ of not getting a diamond card is:

$P=\frac{39}{52}=\frac{3}{4}$

Hence, the probability of not getting a diamond cardis $\frac{3}{4}$.