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 of rolling a number greater than 2 on a 6-sided number cube, we need to find the probability of rolling a number greater than 2 and subtract that from 1 (since the complement is the opposite of the event).
The correct calculation should be:
P(complement of rolling a number greater than 2) = 1 – P(rolling a number greater than 2)
To find the probability of rolling a number greater than 2, we count the number of favorable outcomes (numbers 3, 4, 5, and 6) and divide it by the total number of possible outcomes (numbers 1 to 6):
Total number of favorable outcomes = 4
Total number of possible outcomes = 6
P(rolling a number greater than 2) = 4/6
Therefore, the correct calculation for the probability of the complement is:
P(complement of rolling a number greater than 2) = 1 – P(rolling a number greater than 2)
P(complement of rolling a number greater than 2) = 1 – (4/6)
P(complement of rolling a number greater than 2) = 2/6
Thus, the correct probability of the complement of rolling a number greater than 2 is 2/6.
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