A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands heads up 19 times. How does this frequency compare to the expected frequency based on the probability of the coin landing with heads up?

Question

Mathematics

Alyvia

10 March, 22:01

A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands heads up 19 times. How does this frequency compare to the expected frequency based on the probability of the coin landing with heads up?

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Helen Galvan · Answer 1

Step-by-step explanation

The experimental relative frequency at which the coin lands heads up is 19/50, or 0.38.

If the coin were a fair one, we would expect that it'd land heads up 25 out of 50 times, which would be a relative frequency of 0.50.

Since this is not happening, we conclude that the coin is NOT a fair one.