Question

The probability of a 3rd grader liking cheese is 3/4. The probability of a 3rd grader liking jam is 4/11. The probability of a 3rd grader liking both is 3/11. Are the events "A 3rd grader likes cheese" and "A 3rd grader likes jam" mutually exclusive?

Yes

No

Not enough info

Answer 1

Solution:

Here using the given information we solev this problem as below

Now here we have to chack the Are the events "A 3rd grader likes cheese" and "A 3rd grader likes jam" mutually exclusive or not

Now Answer is

Answer :- No

becasue the 3rd grader like both the chess and jam and having probability is 3/11

but by the definition of mutually exclusive event the intersection of the both is empty i.e. but here it is 3/7 hence is it not mutually exclusive.

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