Question

There are 5 tomatoes, 5 bell peppers, and 5 cucumbers in the refrigerator. If Bodhi gets to pick twice and keeps what was randomly selected, what is the probability that he will get a tomato and then a cucumber?

A. 15/19 B. 1/3 C. 4/35 D. 5/42

Answer 1

Hello!

First of all there are fifteen total vegetables. First of all we have the probability that he will get a tomato.

$\frac{5}{15} = \frac{1}{3}$

Now if he were to select a tomato there would only be fourteen vegetables left. Now our probability will be out of 14. Now we have the cucumber.

$\frac{5}{14}$

Now we multiply our two probabilities.

$\frac{1}{3} (\frac{5}{14} = \frac{5}{42}$

Therefore, Bodhi will have D) 5/42 chance of selecting a tomato and then a cucumber.

I hope this helps!