Question

A bag contains 5 green marbles, 7 yellow marbles, 4 blue marbles, 6 pink marbles, and 3 purple marbles. If two marbles are chosen without replacement, find the probability of choosing a yellow marble, then another yellow marble. Give your answer as a fraction in simplest form.

Answer 1

The probability of choosing a yellow marble then choosing another one without replacement is 1/30.

Explanation:

First, get the total amount of marbles.

5 + 7 + 4 + 6 + 3 = 25 total marbles.

Now find the probability of finding a yellow marble.

P = 5 yellow marbles / 25 total marbles.

Now find the probability of finding a yellow marble after pulling one without replacement.

P = 4 yellow marbles / 24 total marbles.

To find the probability of both events happening, multiply the probabilities together.

(5/25) * (4/24)

Multiply the numerators and denominators.

20/600

Simplify.

1/30.