A box contains 5 strawberry candies, 3 banana candies, and 2 orange candies. If Braden selects 2 candies at random from this box, without replacement, what is the probability that both candies are not banana?
- A
- B
- C
- D
Show the answer
Correct answer: C
The total number of candies in the box is
5 + 3 + 2 = 10
The number of candies that are not banana is
5 + 2 = 7
The probability of the first candy not being banana is
Now, out of 9 candies, there are 6 candies left that are not banana. The probability of the second candy not being banana is.
Multiply these two probabilities to get the solution: