Question

Kerry has a box of chocolates which are all flavoured with either mint or toffee. The possible outcomes of Kerry picking two chocolates at random are shown on the tree diagram below.

If both chocolates are the same flavour, what is the probability that they are both toffee?
Give your answer as a fraction in its simplest form

Answer 1

The probability that both chocolates are toffee when they are the same flavor is 3/22.

Step-by-step explanation:

To find the probability that both chocolates are toffee when they are the same flavor, we need to find the probability of picking two toffee chocolates when both chocolates are mint and the probability of picking two toffee chocolates when both chocolates are toffee. From the tree diagram, we can determine the probabilities of each scenario.

When both chocolates are mint, the probability is 3/12 * 2/11 = 1/22. When both chocolates are toffee, the probability is 4/12 * 3/11 = 1/11. Add the two probabilities together to get the total probability of picking two chocolates of the same flavor that are toffee, which is 1/22 + 1/11 = 3/22.