Caitlyn calculated the probability of the complement of rolling a number greater than 2 on a 6-side number cube. She made her calculation as follows. P (less than 5) = StartFraction Numbers greater than 5 over Numbers less than 5 EndFraction = StartFraction 2 over 4 EndFraction Did she make an error?

Question

Brianna Davila

Mathematics

13 October, 03:56

Caitlyn calculated the probability of the complement of rolling a number greater than 2 on a 6-side number cube. She made her calculation as follows. P (less than 5) = StartFraction Numbers greater than 5 over Numbers less than 5 EndFraction = StartFraction 2 over 4 EndFraction Did she make an error?

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Answers (2)

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Franklin Williamson · Answer 1

Yes, she made an error. Caitlyn should have taken the desired outcomes, rolling a 3, 4, 5, or 6, and divided that by the total possible outcomes to get a probability of 4/6, or 2/3. She should have subtracted this probability from 1 to get the complement, which is 2/6, or 1/3.

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Ramon Hampton · Answer 2

Answer:yes she made an error. Caitlyn should have taken the desired outcomes, rolling a 3, 4, 5, or 6, and divide that the total possible outcomes to get a probability 4/6 or 2/3. She should have subtracted this probability from 1 to get the complete which is 2/6 or 1/3