Question

Sarah has 20 sweets: 12 lollis, 5 mints, and 3 twirls. Sarah is going to take at random 2 sweets. Work out the probability that the 2 sweets will NOT be the same type of sweet.

A. 1/10
B. 1/4
C.1/2
D. 9/10

Answer 1

To find the probability of selecting two different types of sweets out of the three types available, calculate C(12,1) * C(8,1) / C(20,2). The answer is 9/10.

Step-by-step explanation:

To find the probability that the 2 sweets will NOT be the same type, we need to calculate the probability of selecting two different types of sweets out of the three types available.

The total number of ways to select 2 sweets out of 20 is C(20,2) = 190.

The number of ways to select 2 different types of sweets is C(12,1) * C(8,1) = 12 * 8 = 96.

Therefore, the probability is P = 96/190 = 24/47.

So, the answer is D. 9/10.