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.

Question

Mathematics

Genevieve Shepard

27 July, 11:00

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.

+1

Answers (1)

Know the Answer?

Viviana Bishop · 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.

Step-by-step 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.