Two marbles are to be pulled from a bag that contains 2 yellow marbles, 4 green marbles, and 6 orange marbles. After the first marble is drawn, it is not replaced. What is the probability that two
orange marbles are chosen from the bag?

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%

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