SOLUTION: A basket contains 10 apples and 20 oranges of which 3 apples and 5 oranges are organic produce. If we choose two fruits at random, what is the probability that either both are oran

Question 1188839: A basket contains 10 apples and 20 oranges of which 3 apples and 5 oranges are organic produce. If we choose two fruits at random, what is the probability that either both are oranges or both are non-organic produce?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
both oranges is (20/30)(19/29)=380/870=38/87=0.4368
both non-organic is (22/30)(21/29)=462/870=0.5310
probability that both oranges and non-organic: it is (15/30)(14/19))=210/570=7/19=0.3684
It is the sum of the first two minus the third, which deals with double counting: 0.5994
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