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 black coloured card

Answer 1

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

Since, cards of spade and club are black cards and there are $13$ cards of spade and $13$ cards of club in a deck of $52$ cards, therefore, the total number of favourable outcome that it is not a black coloured card is $52-(13+13)=52-26=26$.

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

$P=\frac{26}{52}=\frac{1}{2}$

Hence, the probability of not getting a black coloured cardis $\frac{1}{2}$.