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A bag contains 5 5 green marbles, 10 10 yellow marbles, 4 4 red marbles. two marbles are drawn without replacement which means that once the first marble is selected it is not put bag into the bag. it is not replaced. what is the probability of drawing a green marble then a red marble?

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delosreyesneil
The probability of drawing a green marble will be 5/19, then for a red marble it will be 4/18 because there are less marbles in the bag. Also the probability of drawing a green or red marble the second draw will be the same probability.  Hope this helps!
Total number of marbles = 5 + 10 + 4 = 19

Number of green marbles = 5
Number of red marbles = 4

P(Green, then red) = (4/19)(5/18) = 5/28

Answer: 5/28