Question

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A.
1
13
B.
3
13
C.
1
4
D.
9
52

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A.
1
13
B.
3
13
C.
1
4
D.
9
52

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know}\mathrm{that}, \\ \mathrm{total}\mathrm{number}\mathrm{of}\mathrm{cards}\mathrm{in}\mathrm{a}\mathrm{deck}=52 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=52 \\ \mathrm{Number}\mathrm{of}\mathrm{face}\mathrm{cards}=12 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=12 \\ \mathrm{Now},\mathrm{P}\left(\mathrm{getting}\mathrm{a}\mathrm{face}\mathrm{card}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}}=\frac{12}{52}=\frac{3}{13} \end{gathered}$$