Question

12. A bag contains 6 white balls and 5 red balls. A ball is drawn at random from the bag, without looking into it. What is the probability of getting a white ball ? Is it more or less than the probability of getting a red ball?

Answer 1

Dear student
$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{balls}\mathrm{in}\mathrm{the}\mathrm{bag}=\mathrm{No}.\mathrm{of}\mathrm{white}\mathrm{balls}+\mathrm{No}.\mathrm{of}\mathrm{red}\mathrm{balls} \\ =6+5=11 \\ \mathrm{P}(\mathrm{getting}\mathrm{a}\mathrm{white}\mathrm{ball})=\frac{\mathrm{No}.\mathrm{of}\mathrm{white}\mathrm{balls}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{balls}\mathrm{in}\mathrm{the}\mathrm{bag}}=\frac{6}{11}=0.54 \\ \mathrm{P}(\mathrm{getting}\mathrm{a}\mathrm{red}\mathrm{ball})=\frac{\mathrm{No}.\mathrm{of}\mathrm{red}\mathrm{balls}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{balls}\mathrm{in}\mathrm{the}\mathrm{bag}}=\frac{5}{11}=0.45 \\ \mathrm{So},\mathrm{P}(\mathrm{getting}\mathrm{a}\mathrm{red}\mathrm{ball})<\mathrm{P}(\mathrm{getting}\mathrm{a}\mathrm{white}\mathrm{ball}) \\ \mathrm{as}0.45<0.54 \end{gathered}$$
Regards