Question

a bag contains 5 red marbles, 6 blue marbles 3 green marbles, 4 black marbles, and 2 yellow marbles. what is a reasonable prediction for the number of times a green or black marble will be drawn

Answer 1

35% or 7 out of every 20 pulled

Answer 2

If you want 1 blue marble and 1 red marble, then the probability of 1 blue, followed by 1 red is (5/20)(6/19).

The probability of 1 red, followed by 1 blue is (6/20)(5/19).

So, the probability without respect to order is the sum of the 2 scenarios above: (5/20)*(6/19) + (6/20)*(5/19).

I hope this helps.