Chapter 13.10, Problem 34STP

To determine

The probability that you and your friend will get a banana.

A. $\frac{1}{45}$ B. $\frac{14}{45}$ C. $\frac{20}{45}$ D. $\frac{40}{45}$

Answer to Problem 34STP

The correct option is A. $\frac{1}{45}$ .

Explanation of Solution

Given:Apple: $3$

Oranges: $5$

Bananas: $2$

As there are total $10$ fruits and from this total the probability to get the $\frac{2}{10}$ to pick the bananas.

Besides for the second there are only $9$ fruits and from which only one is a banana, so $\frac{1}{9}$ . Multiply these two probabilities together so get the probability of getting two bananas for both of them.

  $\frac{2}{10}\times \frac{1}{9}=\frac{2}{90}=\frac{1}{45}$

Conclusion:

Hence, the correct option is A. $\frac{1}{45}$ .