Drawing a yellow marble, keeping it, and then drawing another yellow marble?

Question

Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions.

What is the probability of...

Answer 1

Step 1) Find the probability of picking a yellow marble.

There are 4 yellow marbles and 9 in total which makes the probability 4/9.

Step 2) Now we have 3 blue marbles, 2 red marbles and 3 yellow marbles. Find the probability of picking another yellow marble.

There are 3 yellow marbles and 8 in total which make the probability 3/8.

Step 3) Since the problem wants us to find the probability of yellow AND yellow, we multiply the probabilities.

4/9 times 3/8 gives us 12/72 = 1/6