Question

A coin has heads on one side and tails on the other. The coin is tossed 12 times and lands

heads up 4 times. Which best describes what happens when the number of trials increases
significantly?
The expected frequency based on the probability of the coin landing heads up gets closer to the
observed frequency.
The observed frequency of landing heads up will always be of the number of tosses.
The expected frequency based on the probability of the coin landing heads up gets closer to 1.
The observed frequency of landing heads up gets closer to the expected frequency based on the
probability of the coin landing heads up.

Answer 1

D, the observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.

Explanation:

As of now, the observed frequency states that the coin will land on heads 4/12 times. The expected frequency states that the coin will land on heads 50% of the time, or 6/12 times. As the number of trials increases, the observed frequency will get closer to the expected frequency.