A bag has 2 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a green marble, do not replace it, and pick a yellow marble?

Question

jim_thompson5910 · Answer

how many green marbles are there

anonymous · Answer

2

jim_thompson5910 · Answer

how many total

anonymous · Answer

8

jim_thompson5910 · Answer

so if you were just picking one marble, then the probability of picking green is 2/8

jim_thompson5910 · Answer

but we're picking 2 marbles

and we are NOT putting the first one picked back in

jim_thompson5910 · Answer

so after you pick the first one, the total drops from 8 to 7

So the probability of picking yellow on the second selection is 3/7 (since there are 3 yellow out of 7 total left)

jim_thompson5910 · Answer

Multiply these two together to get

(2/8)*(3/7) = ???

anonymous · Answer

so would it be 
3/28

jim_thompson5910 · Answer

(2/8)*(3/7) = (2*3)/(8*7)

(2/8)*(3/7) = 6/56

(2/8)*(3/7) = 3/28

So you are 100% correct

jim_thompson5910 · Answer

3/28 is the answer in fraction form