Question
There are 6 Apples and some oranges in a basket. If 2
fruits are picked at random, the probability that both are Apples is 1/8. How many oranges are there?Solution
Let the number of oranges be 'x'
Number of Apples = 6
Probability that both fruits are Apples = 1/8
So, 6 C 2 / 6+x C 2 = 1/8
30/((x + 5)(x + 6)) = 1/8
x 2 + 11x - 210 = 0
(x + 21)(x - 10) = 0
x = 10
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