Question

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.

Answer 1

Answer:

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