Question

Two marbles are to be pulled from a bag that contains 2 yellow marbles, 4 green marbles, and 6

Answer 1

Answer:

The probability that two orange marbles are drawn (and only those two), is 1/66, or approximately 1.5%

Step-by-step explanation:

The total number of marbles in the bag is 2 + 4 + 6, which equals 12.

We're told that there are two yellow marbles, so the chance of picking a yellow one on the first try is 2/12, or 1/6.

After that marble is drawn, we now have 11 marbles in the bag, and only 1 of them is yellow, so the chance of drawing a second yellow marble is 1/11

The total probability of drawing two yellow marbles then is:

1/6 × 1/11  =  1/66, or approximately 1.5%