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.
Did she make an error? Explain.
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. The correct probability would be 4/6, or 2/3.
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.
prob(greater than two) = 4/6 = 2/3
prob(not greater than two) = 1 - 2/3 = 1/3
yes she made an error. The correct prob would be 4/6 or 2/3
* not 2/3 its 1/3 sorry
To determine if Caitlyn made an error in calculating the probability of the complement of rolling a number greater than 2 on a 6-sided number cube, we first need to understand what the complement is and how to calculate it.
The complement of an event refers to everything outside of that event. In this case, the event is rolling a number greater than 2 on a 6-sided number cube. So the complement would be rolling a number 2 or less.
To calculate the probability of an event, we need to divide the number of favorable outcomes by the number of possible outcomes. In this case, the number of favorable outcomes is rolling a number 2 or less, which includes 1 and 2 (two favorable outcomes). The number of possible outcomes is the total number of sides on the cube, which is 6.
Therefore, the probability of rolling a number 2 or less is 2/6, which simplifies to 1/3 or approximately 0.333.
Now, to determine if Caitlyn made an error, we need to compare her calculation to the correct calculation. However, the question does not provide the details of Caitlyn’s calculation, so it is not possible to know if she made an error without that information.
If Caitlyn calculated the probability by dividing the number of favorable outcomes by the number of possible outcomes, and she obtained a different result than 2/6 or 1/3, then she made an error. But without knowing her specific calculation, it is not possible to determine if she made an error or not.