SOLUTION: Please help me understand probability and if i set up this problem correctly? I am struggle with knowing how to lay out to get the correct answers. This is on a hand out shee

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Question 142971This question is from textbook Mathematics All Around
: Please help me understand probability and if i set up this problem correctly?

I am struggle with knowing how to lay out to get the correct answers.
This is on a hand out sheet so it is not my math book.
Indicated probability.
A box contains 20 blue marbles, 16 green marbles and 14 red marbles. Two marbles are selected at random without replacement. Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. Find P(F/E).
First i added the total number of marbles 20+16+14 = 50
Then I put 16/50 * 15/49 = 24/25 =.96 = 96%
Would the P(16/15) = 96%?
I am not sure if this is correct.
Thank You.
This question is from textbook Mathematics All Around

Answer by oscargut(2103) (Show Source):
You can put this solution on YOUR website!
Let E be the event that the first marble selected is green.
Let F be the event that the second marble selected is green.
A box contains 20 blue marbles, 16 green marbles and 14 red marbles
P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green.