Question

A bag contains 3 red marbles, 4 blue marbles, and 5 yellow marbles.

In this experiment from the bag, you select a marble, record it and place it back into the bag. You then select a second marble. What is the probability that you draw 2 blue marbles?

Answer 1

1/9 is the correct answer.

Explanation:

The probability of dice falling a certain way in a certain sequence is easily calculated, once you know the rules.

In this particular problem, both of the outcomes have a probability of 1/3 to begin with

4/12 chance of picking a blue marble both ltimes, since you replace it on the first draw:

4/12 can be reduce to 1/3.

Multiply both probabilites by the other for this problem, which gives the solution:

`(1)/(3) *(1)/(3) =(1)/(9)`