SOLUTION: 5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?

Algebra ->  Probability-and-statistics -> SOLUTION: 5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?       Log On


   



Question 750256: 5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?
-----
# of groups of 2 oranges and 2 peaches: 7C2*4C2 = 21*6 = 126
----
# of random groups of 4 fruit: 16C4 = 1820
----
P(2 oranges and 2 peaches) = 126/1820 = 0.0692
===================
Cheers,
Stan H.