Question

One card is drawn from a well shuffeled deck of 52 playing cards . Find the probability that the card is not a queen .

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{cards}\mathrm{in}\mathrm{the}\mathrm{deck}=52 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=52 \\ \mathrm{Number}\mathrm{of}\mathrm{queens}=4 \\ \mathrm{Number}\mathrm{of}\mathrm{non}-\mathrm{queens}=52-4=48 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=48 \\ \mathrm{P}\left(\mathrm{drawing}\mathrm{a}\mathrm{non}\mathrm{queen}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}}=\frac{48}{52}=\frac{12}{13} \end{gathered}$$