Question

In a survey of 118 consumers conducted in a shopping mall, 82 consumers indicated that they buy brand A of a certain product, 71 buy brand B, and 46 buy both brands. How many consumers participating in the survey buy at least one of these brands?

Answer 1

We have that the  consumer buying at least one of these brands is mathematically given as

• n(AUB')=36

Probability

Generally the equation for the buying at least one of these brands   is mathematically given as

n(AUB')=N(A)-N(AnB)

where

• n=sample size
• A= Brand A consumers
• B= Brand B consumers

Therefore

n(AUB')=82-46

n(AUB')=36

Hence, probability of consumers participating in the survey buy at least one of these brands is

• n(AUB')=36

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