Question

A box contains 5 apples, 6 oranges and 'x' bananas. If the probability of selecting an apple from the box is 1/3, then the number of bananas is ________.

Answer 1

Total number of fruits in the box = 5 + 6 + x = 11 + x

Probability of selecting an apple = $\frac{\mathrm{Number}\mathrm{of}\mathrm{apples}\mathrm{in}\mathrm{the}\mathrm{box}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{fruits}\mathrm{in}\mathrm{the}\mathrm{box}}=\frac{5}{11+x}$

It is given that the probability of selecting an apple from the box is $\frac{1}{3}$.

$$\begin{gathered} \therefore \frac{5}{11+x}=\frac{1}{3} \\ \Rightarrow 11+x=15 \\ \Rightarrow x=15-11=4 \end{gathered}$$

A box contains 5 apples, 6 oranges and 'x' bananas. If the probability of selecting an apple from the box is 1/3, then the number of bananas is ____4____.