Bunuel wrote:
There are n candies in a bag. 6 of the candies are orange and the rest of the candies are yellow. Lilly takes a random candy from the bag and eats it. Lilly then takes at random another candy from the bag and eats it too. If the probability that Lilly ate two orange candies is 1/3, what is the value of n?
A. 8
B. 9
C. 10
D. 11
E. 12
Orange = 6
Remaining = n-6
Probability of Lilly eating two orange candies = 6C2 / nC2 = 1/3
i.e. nC2 = 45
i.e. n = 10
Answer: Option C
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