Molly has a jar containing 4 yellow 3 blue 3 green and 2 orange marbles If Molly removes one marble without looking record the color does not replace it before drawing again what is the probability that she will remove two yellow marbles
12 marbles to start
drew one yellow 4/12
then 11 marbles of which 3 are yellow
3/11
so
4/12 * 3/11
= 1/11
To find the probability that Molly will remove two yellow marbles, we need to determine the total number of marbles she can draw from and the number of favorable outcomes (drawing two yellow marbles) out of all possible outcomes.
Let's start by finding the total number of marbles. Molly has 4 yellow, 3 blue, 3 green, and 2 orange marbles. So, the total number of marbles is 4 + 3 + 3 + 2 = 12.
Now, for the number of favorable outcomes, we want Molly to draw two yellow marbles. When Molly removes the first yellow marble, there will be 3 yellow marbles remaining in the jar, and when she removes the second one, there will be 2 yellow marbles left. Therefore, the number of favorable outcomes is:
(4/12) * (3/11) = 12/132 = 1/11
So, the probability that Molly will remove two yellow marbles is 1/11.