Sara has 20 sweets. 12 liquorice, 5 mint, 3 humbug. sara is going to take at random two sweets. work out the probability that the two sweets will not be the same type. give your answer as a fraction.

The probability that the two sweet will not be same type is

Step-by-step explanation:

P(two sweets not same) = 1 - P( two sweets will be same)

There are 3 possible outcomes where two sweets will be same.

1. it can be two liquor-ice, 2. it can be 2 mint and 3. it can be two humbug

P(two liquor-ice)

P(two mint)

P(tow humbug)

Now we have:

P(two sweets not same) = 1 - P( two sweets will be same)

Therefore, the probability that the two sweet will not be same type is

step-by-step explanation: