A bag contains a number of candies. The probability of Judith choosing a red candy from this bag is $\frac{5}{6}$. The total number of candies in the bag could be
(A) 3
(B) 10
(C) 17
(D) 6
(E) 7
If the bag contained a total of 6 candies and exactly 5 of these candies were red, then the probability of Judith choosing a red candy from the bag would be $\frac{5}{6}$.

Therefore, the total number of candies in the bag could be 6 .

Can you explain why each of the other four answers is not possible?

ANsweR: (D)