Sample Response: 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. Which of the following did you use in your response? Check all that apply. Yes, she made an error. The formula is desired outcomes divided by all possible outcomes. The probability should be 1/3.
Answer
A
Yes, she made an error.
B
The formula is desired outcomes divided by all possible outcomes.
C
The probability should be 1/3.
Explanation
The sample response says Caitlyn made an error, so choice A applies. It uses the rule that probability equals desired outcomes divided by all possible outcomes: 4 desired rolls out of 6 gives 4/6 = 2/3. It then takes the complement, 1 − 2/3 = 1/3, so choice C applies as well.
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