Mark, Carrie, Max, and Jane are doing a probability experiment in math class. They flip a coin 200 times and record their results.

Heads:120
Tails:80

Question 2 on their lab sheet asks for the theoretical probability of flipping heads. They come up with four different answers:

Mark:1/2 Carrie:3/5 Max:2/5 Jane:2/3

Who has the correct theoretical probability?

Max

Jane

Mark

Carrie <<I choose this one

If it is an unbiased coin, Max.

It would be Mark because a coin has two sides, 50/50 chance for a head or a tail.

I agree Mark, I read the wrong name. Thanks, Luke

To determine the correct theoretical probability, we need to compare each person's answer to the calculation based on the given data. The theoretical probability of flipping heads can be calculated by dividing the number of desired outcomes (heads) by the total number of possible outcomes (total flips).

Given that there were 120 heads out of 200 flips, the theoretical probability of flipping heads is calculated as:

120/200 = 3/5

Now, let's compare each person's answer to this calculation:

- Mark: Mark's answer is 1/2, which is not equal to 3/5. Therefore, Mark's answer is incorrect.
- Carrie: Carrie's answer is 3/5, which is equal to 3/5. Therefore, Carrie's answer is correct.
- Max: Max's answer is 2/5, which is not equal to 3/5. Therefore, Max's answer is incorrect.
- Jane: Jane's answer is 2/3, which is not equal to 3/5. Therefore, Jane's answer is incorrect.

Based on this analysis, Carrie's answer of 3/5 is the correct theoretical probability of flipping heads.