Carolyn tested a coin to see if it was evenly weighted. She flipped the coin 100 times and came up with 42 heads and 58 tails. How does the relative frequency of tails to heads compare to the probability of tails in this experiment?

A. The relative frequency is the same as the probability
B. The relative frequency is less than the probability
C. The relative frequency is greater than the probability
D. The relative frequency is unrelated to the probability

i'm feeling like it's C or A but i'm unsure. :(

In this case, the relative frequency refers to the ratio of tails to the total number of flips (heads + tails).

The relative frequency of tails can be calculated by dividing the number of tails by the total number of flips: 58/100 = 0.58.

On the other hand, the probability of tails can be determined by dividing the number of favorable outcomes (tails) by the total number of possible outcomes (heads + tails). Since there are only two possible outcomes (heads or tails) for a coin flip, the probability of tails is 1/2 = 0.5.

Comparing the relative frequency of tails (0.58) to the probability of tails (0.5), we can conclude that the relative frequency is greater than the probability. Therefore, the correct answer is option C: The relative frequency is greater than the probability.

To determine how the relative frequency of tails to heads compares to the probability of tails in this experiment, you can calculate the probability of getting tails and compare it to the observed relative frequency.

First, let's calculate the probability of getting tails in a fair coin flip. In a fair coin, there are two equally likely outcomes: heads or tails. So the probability of getting tails on a single flip is 1/2, or 0.5.

Now, let's compare this with the observed relative frequency. Carolyn flipped the coin 100 times and got 58 tails. To calculate the relative frequency of tails, divide the number of tails by the total number of flips: 58 tails / 100 flips = 0.58.

Comparing the probability of tails (0.5) to the observed relative frequency of tails (0.58), we can see that the relative frequency is greater than the probability. Therefore, the correct answer is C. The relative frequency is greater than the probability.