Question

One card is drawn from a pack of 52 cards . find the probability of the card drawn is either black or king

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{cards}=52 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=52 \\ \mathrm{Number}\mathrm{of}\mathrm{black}\mathrm{cards}=26 \\ \mathrm{Number}\mathrm{of}\mathrm{kings}=4 \\ \mathrm{Number}\mathrm{of}\mathrm{black}\mathrm{kings}=2 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=26+4-2=28 \\ \mathrm{P}\left(\mathrm{drawing}\mathrm{either}\mathrm{a}\mathrm{black}\mathrm{card}\mathrm{or}\mathrm{a}\mathrm{king}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}=\frac{28}{52}=\frac{7}{13} \end{gathered}$$