Question

you flip a fair coin 25 times in the air. what is the relative frequency with which the coin will land on tails 12 of those times? 5% 15% 10% 20%

Explanation:

Step1: Recall relative - frequency concept

Relative frequency of an event in an experiment is the ratio of the number of times the event occurs to the total number of trials.

Step2: Analyze coin - flip situation

For a fair coin, the probability of getting tails in a single flip is 0.5. In a large number of trials, the relative frequency of getting tails approaches the theoretical probability. Here, when flipping a fair coin 25 times, the relative frequency of getting tails is expected to be close to the theoretical probability. Since the theoretical probability of getting tails for a fair coin is $\frac{1}{2}=0.5 = 50\%$, the relative frequency of getting tails is 50%.

Answer:

50%