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 or equal to 2): Numbers greater than 2 / Number less than or equal to 2 = 4/2Did she make an error? Explain.
Caitlyn made an error in her calculation
Caitlyn made an error in her calculation.
To find the probability of the complement event, which is rolling a number greater than 2 on a 6-side number cube, Caitlyn should have calculated it as follows:
P(complement) = 1 – P(less than or equal to 2)
To find P(less than or equal to 2), Caitlyn could count the favorable outcomes (rolling a number less than or equal to 2) and divide it by the total number of possible outcomes, which is 6 (since there are 6 sides on a number cube). In this case, the favorable outcomes are 2 (which are the numbers 1 and 2).
P(less than or equal to 2) = favorable outcomes / total outcomes
P(less than or equal to 2) = 2/6
Now, to find the probability of the complement event:
P(complement) = 1 – P(less than or equal to 2)
P(complement) = 1 – (2/6)
P(complement) = 1 – 1/3
P(complement) = 2/3
Therefore, the correct probability of the complement event, rolling a number greater than 2, is 2/3 and not 4/2 as Caitlyn calculated.
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