Question

One card is drawn randomly from a well shuffled pack of $52$ playing cards. Find the probability that the drawn card is a red coloured card

Answer 1

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

Since, cards of heart and diamond are red cards and there are $13$ cards of heart and $13$ cards of diamond in a deck of $52$ cards, therefore, the total number of favourable outcome that it is a red coloured card is $13+13=26$.

Therefore, probability $P$ of getting a red coloured card is:

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

Hence, the probability of getting a red coloured card is $\frac{1}{2}$.