A bag of marbles contains 3 yellow marble, 3 red marbles, and 5 green marbles. If a marble is chosen, put back in the bag and then a second marble is chosen, what is the probability that both marbles will be red?

I think it is 2 red 10 all together 2:10
2/10 = 1/5
But I am not sure because it says both marbles will be red.

2 answers

CORRECTION ON THE QUESTION:
THE QUESTION WAS SUPPOSE TO SAY 2 RED MARBLES, NOT 3 RED MARBLES
SEE CORRECT QUESTION BELOW,

A bag of marbles contains 3 yellow marble, 2 red marbles, and 5 green marbles. If a marble is chosen, put back in the bag and then a second marble is chosen, what is the probability that both marbles will be red?

I think it is 2 red 10 all together 2:10
2/10 = 1/5
But I am not sure because it says both marbles will be red.

CORRECTION THE 1ST QUESTION WAS SUPPOSE TO SAY 2 RED MARBLES NOT 3 RED MARBLES.
Since you are putting the marble back, the prob of the second event is the same as the first one.
Prob(red,red) = (2/10(2/10)
= 1/25