Question

A card is drawn at random from a well shuffled deck of playing cards .Find the probability that the card drawn is a card of heart or a king.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{cards}\mathrm{in}\mathrm{a}\mathrm{deck}=52 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=52 \\ \mathrm{Number}\mathrm{of}\mathrm{cards}\mathrm{of}\mathrm{Hearts}=13 \\ \mathrm{Number}\mathrm{of}\mathrm{kings}\mathrm{in}\mathrm{a}\mathrm{deck}=4 \\ \mathrm{Number}\mathrm{of}\mathrm{King}\mathrm{of}\mathrm{Hearts}=1 \\ \mathrm{So},\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=13+4-1=16 \\ \mathrm{P}\left(\mathrm{either}\mathrm{a}\mathrm{king}\mathrm{or}\mathrm{a}\mathrm{heart}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}}=\frac{16}{52}=\frac{4}{13} \end{gathered}$$