Question

A number is chosen at random from 1 to 50. Find the probability of selecting prime numbers.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{numbers}\mathrm{between}1\mathrm{and}50\mathrm{are}: \\ 2,3,5,7,11,13,17,19,23,19,31,37,41,43,47. \\ \mathrm{Number}\mathrm{of}\mathrm{prime}\mathrm{numbers}\mathrm{between}1\mathrm{and}50=50 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=15 \\ \mathrm{Total}\mathrm{possible}\mathrm{outcomes}=50 \\ \mathrm{Probability}\mathrm{of}\mathrm{getting}\mathrm{a}\mathrm{prime}\mathrm{number}=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{possible}\mathrm{outcomes}} \\ \mathrm{Probability}\mathrm{of}\mathrm{getting}\mathrm{a}\mathrm{prime}\mathrm{number}=\frac{15}{50}=\frac{3}{25} \end{gathered}$$