Rockwood bakery has many different products for sale. suppose that 70% of all customers order donuts, 50% order cinnamon rolls, and 40% order both. if a customer is randomly selected, what is the probability that she ordered neither donuts nor cinnamon rolls?

Question

Mathematics

Leonidas Bradford

3 June, 13:19

Rockwood bakery has many different products for sale. suppose that 70% of all customers order donuts, 50% order cinnamon rolls, and 40% order both. if a customer is randomly selected, what is the probability that she ordered neither donuts nor cinnamon rolls?

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Coco Chanel · Answer 1

20% of them order neither.

The total percentage of donuts ordered is 70%; this includes the 40% that order both. This leaves 70-40 = 30% that order only donuts.

The total percentage of cinnamon rolls ordered is 50%; this includes the 40% that order both. This leaves 50-40 = 10% that order only donuts.

This leaves 100-30-40-10 = 20% that do not order either.