SOLUTION: A box contains 15 items, 4 of which are defective and 11 are good. Two items are selected. What is probability that the first is good and the second defective?

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Question 844180: A box contains 15 items, 4 of which are defective and 11 are good. Two items are selected. What is probability that
the first is good and the second defective?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible two item draws and their probabilities.
(G,G)=%2811%2F15%29%2811%2F15%29=121%2F225
(G,D)=%2811%2F15%29%284%2F15%29=44%2F225
(D,G)=%284%2F15%29%2811%2F15%29=44%2F225
(D,D)=%284%2F15%29%284%2F15%29=16%2F225
If you sum all of the probabilities, you will get 1.
The one you want has a probability of P=44%2F225