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.

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

Step-by-step 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.

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75