Question

Among middle school students, 65% like chocolate ice cream, 50% like vanilla ice cream, and 30%like both. Suppose a student is selected at random and asked what type(s) of ice cream they like. Determine the probability that a randomly selected middle school student likes chocolate ice cream, butnot vanilla ice cream.

Answer 1

Since there are 65% like chocolate ice cream

Since 30% like both chocolate and vanilla

Then to find who like chocolate only subtract 30% from 65%

Then P(choco. only = 65% - 30% = 35%

Then the probability that a student is chosen randomly likes chocolate but not vanilla is 35%

The answer is 35%