Question

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a red marble, do not replace it, and pick a yellow marble?

Answer 1

2/15, 1/15, 1/9, 1/10?

Answer 2

Alright. How many red marbles are there in the bag?

Answer 3

3

Answer 4

how many marbles are there in total, including the red marbles?

Answer 5

10

Answer 6

Therefore, the probability of finding a red marble is 3/10. But, they're also asking for the probability of a yellow marble without replacing the red marble.
To do this, after taking out one red marble, how many marbles are there left in the bag?

Answer 7

together? 9

Answer 8

Yep. And how many yellow marbles are there?

Answer 9

3

Answer 10

Perfect! Now the probability of finding a yellow marble is 3/9 when taking out a red marble.
The last thing to do is simply multiply.
(3/10) * (3/9) = ?

Answer 11

1/10?

Answer 12

Yep! Good job. :)

Answer 13

thank you!!