Sara has 20 sweets.

She has 12 liquorice sweets, 5 mint sweets and 3 humbugs

Sara is going to take two sweets at random

Work out the probability that the two sweets will not be the same type of sweet

Step-by-step explanation:

Simple probability question.

The probability that the 2 sweets will not be the same = 1 - probability of same 2 sweets.

There are 3 possible outcomes where the two sweets will be the same. If she had 2 Liquorice or 2 mint or 2 humbug.

P (2 Liquorice) = 12/20 * 11/19

P (2 Mint) = 5/20 * 4/19

P (2 Humbug) = 3/20 * 2/19

All of those added together will give you the probability of her getting 2 of the same time of sweet.

You the take that answer and subtract it from 1.

111/190

Step-by-step explanation:

this is the answer it worked on mathswatch