Question

If there are 15 red, 15 blue, and 15 yellow marbles in a bag, if you draw two marbles out of the bag without replacement, what is the probability that the second marble is a different color than the first marble

Answer 1

15/22

Explanation:

15 red, 15 blue, 15 yellow

You draw a marble of any color.

Now the marbles left in the bag are 14 of the same color, and a total of 30 of different colors for a total of 44 marbles.

Your desired outcome is a marble of a different color.

There are 30 desired outcomes.

The total number of possible outcomes is all the marbles left in the bag: 44.

p(2 marbles of different colors) = 30/44 = 15/22