Question

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting
(i) a red king
(ii) a queen or a jack.

Answer 1

(i) There are two red kings in a pack of 52 cards.
Therefore, the probability is given by

$$\begin{gathered} \frac{\mathrm{Number}\mathrm{of}\mathrm{red}\mathrm{king}\mathrm{cards}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{cards}} \\ =\frac{2}{52} \\ =\frac{1}{26} \end{gathered}$$

(ii) There are two 4 queen and 4 jacks in a pack of 52 cards
Therefore, the probability is given by

$$\begin{gathered} \frac{\mathrm{Number}\mathrm{of}\mathrm{queen}\mathrm{or}\mathrm{jack}\mathrm{cards}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{cards}} \\ =\frac{4+4}{52} \\ =\frac{8}{52} \\ =\frac{2}{13} \end{gathered}$$