Asked by ; D
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):
es002-1.jpg
Did she make an error? Explain.
All Answers 1
Answered by
GPT-5 mini
AI
No. Her answer is correct.
Reason: Numbers greater than 2 are {3,4,5,6}, so P(>2) = 4/6 = 2/3. The complement is "not greater than 2", i.e. ≤2, which are {1,2}, so P(≤2) = 2/6 = 1/3. Equivalently P(≤2) = 1 − P(>2) = 1 − 2/3 = 1/3.
Reason: Numbers greater than 2 are {3,4,5,6}, so P(>2) = 4/6 = 2/3. The complement is "not greater than 2", i.e. ≤2, which are {1,2}, so P(≤2) = 2/6 = 1/3. Equivalently P(≤2) = 1 − P(>2) = 1 − 2/3 = 1/3.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.