An internet research company surveyed online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Number of shoppers Electronics Pet supplies Toys Office supplies Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of the three shoppers purchased electronics? Do not round your intermediate computations. Round your final answer to three decimal places.

Question

Mathematics

John Chan

21 March, 10:22

An internet research company surveyed online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Number of shoppers Electronics Pet supplies Toys Office supplies Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of the three shoppers purchased electronics? Do not round your intermediate computations. Round your final answer to three decimal places.

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Answers (1)

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Janelle Gordon · Answer 1

The probability that none of the three shoppers purchased electronics is 0.528

Step-by-step explanation:

Completing missing parts of the question

Electronics - 18

Pet supplies - 25

Toys - 40

Office supplies - 12

Total = 95

The probability that none of the three shoppers purchased electronics is calculated as follows.

Electronics Shoppers = 18

Non electronic shoppers = 95 - 18 = 77

Probability without replacement;

Probability that the first shopper didn't buy electronics = 77/95

Probability that the second shopper didn't buy electronics = 76/94

Probability that the third shopper didn't buy electronics = 75/93

Multiplying these values gives us our result.

Probability = 77/95 * 76/94 * 75/93

Probability = 0.528483184625943

Probability = 0.528 - - - approximated

Hence, the probability that none of the three shoppers purchased electronics is 0.528