Answer:
0.654
Step-by-step explanation:
There are 12 sweets in a bag.
4 are lemon flavour.
4 are caramel flavour.
4 are orange flavour.
Jude takes at random 3 sweets at the same time.
Work out the probability that exactly 2 of the sweets are the same flavour.
Probability = Required outcome / Total possible outcomes
Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange
Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144
Total possible outcomes = 12C3 = 220
P(exactly 2 are same flavor) = 144 / 220 = 0.654
