Question

There are 15 sweets in a bag. 10 of the sweets are toffee and 5 are mint. Reece takes two of the sweets at random. Work out the probability that Reece takes one of each type of sweet.​

Answer 1

To calculate the probability that Reece takes one of each type of sweet, we need to consider the total number of ways he can choose two sweets and the number of ways he can choose one of each type. The probability that Reece takes one of each type of sweet is 5 / 21.

Step-by-step explanation:

To calculate the probability that Reece takes one of each type of sweet, we need to consider the total number of ways he can choose two sweets and the number of ways he can choose one of each type. There are 15 sweets in total, so Reece has 15 choices for the first sweet. After choosing one sweet, there are 14 sweets remaining, so Reece has 14 choices for the second sweet.

Out of the 10 toffee sweets, Reece can choose 1 toffee sweet in 10 ways. And out of the 5 mint sweets, he can choose 1 mint sweet in 5 ways. So the total number of ways Reece can choose one of each type of sweet is 10 * 5 = 50.

Therefore, the probability that Reece takes one of each type of sweet is 50 / (15 * 14) = 50 / 210 = 5 / 21.