Question

Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacement.

The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is

Answer 1

For all together it is 3/36

For the mints together it is 2/36

For the dark chocolate it is 1/36

Answer 2

11/255

Explanation:

Probability is the ratio of the number of possible outcome to the total outcome.

Given;

Number of caramels = 10

Number of mints = 12

Number of bars of dark chocolate = 14

Total number = 10 + 12 + 14 = 36

Probability of caramel = 10/36 = 5/18

Probability of mints = 12/36 = 1/3

Probability of bars of dark chocolate = 14/36 = 7/18

The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is

= 12/36 × 11/35 × 14/34

= 11/255

This is the probability where each item is picked without replacement.