Question

) How many outcomes are possible when a letter is chosen from the word RAINBOW. List them. What is the probability of selection R?

Answer 1

$$\begin{gathered} \mathrm{Possible}\mathrm{outcomes}\mathrm{are}:\mathrm{R},\mathrm{A},\mathrm{I},\mathrm{N},\mathrm{B},\mathrm{O},\mathrm{W} \\ \mathrm{Number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=7 \\ \mathrm{Number}\mathrm{of}\mathrm{R}=1 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=1 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=1 \\ \mathrm{Now},\mathrm{P}\left(\mathrm{selecting}\mathrm{a}\mathrm{R}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}}=\frac{1}{7} \end{gathered}$$