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A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
A. 1/10
B. 3/10
C. 1/2
D. 7/10
E. 9/10
OA B
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A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin
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BTGmoderatorLU
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Solution:BTGmoderatorLU wrote: ↑Mon Mar 08, 2021 5:43 amGMAT Prep
A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
A. 1/10
B. 3/10
C. 1/2
D. 7/10
E. 9/10
OA B
We see that the number of people who purchase either cake mix or muffin mix is 50 + 40 - 20 = 70. Therefore, 100 - 70 = 30 people purchase neither cake mix nor muffin mix, and the desired probability is 30/100 = 3/10.
Answer: B
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