A coin has heads on one side and tails on the other the coin is tossed 12 tossed 12 times and lands heads up 4 times which best describes what happens when the number of trials increases significantly

Question

Mathematics

Mikaela Wade

13 September, 00:45

A coin has heads on one side and tails on the other the coin is tossed 12 tossed 12 times and lands heads up 4 times which best describes what happens when the number of trials increases significantly

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Answers (1)

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Case Webster · Answer 1

The given options are:

(A) The expected frequency based on the probability of the coin landing heads up gets closer to the observed frequency.

(B) The observed frequency of landing heads up will always be of the number of tosses.

(C) The expected frequency based on the probability of the coin landing heads up gets closer to 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.

Answer:

(D)

Step-by-step explanation:

The coin is tossed 12 times and lands heads up 4 times. When the number of trials is increased significantly, the counts of landing heads up made from the experiment gets closer to 0.5, the theoretical frequency of the coin landing heads up.

Therefore:

Option D is the correct option.