SOLUTION: Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first o

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Question 1165643: Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first one.
What is the probability of getting a green marble and a red marble?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) by an elementary method....

P(red then green) = %283%2F13%29%2A%2810%2F12%29+=+30%2F156+=+5%2F26
P(green then red) = %2810%2F13%29%2A%283%2F12%29+=+30%2F156+=+5%2F26
P(one red and one green) = 5%2F26%2B5%2F26+=+5%2F13

(2) By a more sophisticated method (that might be required for more complicated, problems, for which the elementary method above would be cumbersome)....

P(choose 1 red and 1 green from 3 red and 10 green) = (number of ways of choosing 1 of 3 reds and 1 of 10 greens) divided by (number of ways of choosing any 2 of the 13 marbles)

=