Of the students in a particular class, 40% are athletes, 60% are chocolate lover

Question

Of the students in a particular class, 40% are athletes, 60% are chocolate lovers and 20% fall in both categories.

(a) Find the probability that a randomly chosen student is not an athlete, but is a chocolate lover.

(b) Of the students who are neither athletes nor chocolate lovers, 30% are on the Dean's list. Of the reamining class (i.e. those who are athletes and/or chocolate lovers), 4% are on the Dean's list. What is the probability that a studet chosen at random fro this class in on the Dean's list?

Explanation / Answer

Of the students in a particular class, 40% are athletes, 60% are chocolate lover

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