SOLUTION: There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing four of the pieces of fruits at random. Determine the proba

Algebra ->  Probability-and-statistics -> SOLUTION: There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing four of the pieces of fruits at random. Determine the proba      Log On


   



Question 1187653: There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing four of the pieces of fruits at random. Determine the probability that all 4 are banana.


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
20C4 are number of ways to choose 4 from 20.
8C4 are the number of ways to pick 4 bananas from 8.
8C4*12C0/20C4. The 12C0 (=1) means there is one way to choose no peaches
=0.0144.
-
Second way
(8/20)(7/19)(6/18)(5/17)=0.0144
probability of choosing a banana on first, second, third, and fourth choice.