Question

a glass jar contains a total of 33 marbles. the jar has red and blue marbles. there are 7 blue marbles. describe the probability of picking a red marble

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{marbles}\mathrm{in}\mathrm{the}\mathrm{glass}\mathrm{jar}=33 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=33 \\ \mathrm{Number}\mathrm{of}\mathrm{blue}\mathrm{marbles}=7 \\ \mathrm{Number}\mathrm{of}\mathrm{red}\mathrm{marbles}=33-7=26 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=26 \\ \mathrm{P}\left(\mathrm{drawing}\mathrm{a}\mathrm{red}\mathrm{marble}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}}=\frac{26}{33} \end{gathered}$$