SOLUTION: a cooler contains 10 sodas. 4 Colas, 5 orange, and 1 cherry. Two are selected at random without replacement. what is the probability that at least one can is cola?

Algebra ->  Probability-and-statistics -> SOLUTION: a cooler contains 10 sodas. 4 Colas, 5 orange, and 1 cherry. Two are selected at random without replacement. what is the probability that at least one can is cola?      Log On


   

Question 447999: a cooler contains 10 sodas. 4 Colas, 5 orange, and 1 cherry. Two are selected at random without replacement. what is the probability that at least one can is cola?
Found 2 solutions by Edwin McCravy, rwm:
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
a cooler contains 10 sodas. 4 Colas, 5 orange, and 1 cherry. Two are selected at random without replacement. what is the probability that at least one can is cola?
We get the probability of the complement event of getting two non-colas
and subtract from 1:

There are 6 non-colas.  So the probability of getting two non-colas is

%286C2%29%2F%2810C2%29

Therefore the probability of getting at least one cola is

1-%286C2%29%2F%2810C2%29-+1-15%2F45=1-1%2F3=3%2F3-1%2F3=2%2F3

Edwin

Answer by rwm(914) About Me  (Show Source):