Question

For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains 3² = 9 outcomes. What is her error? Explain.

Solution

VerifiedThe error is that she squared 3 which is incorrect. By Fundamental Counting Principle, Sarah should have multiplied 3 (number of main course) and 2 (number of drinks) to obtain the sample space of 6.

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