Ellen claims she has a coin that is weighted so that the probability of heads is 70%.

To test this, Ellen flips the coin 100 times and calculates the relative frequency of each outcome.

Outcome Heads Tails

Relative Frequency 0.69 0.31

Which statements about Ellen's experiment are true?

Select each correct answer.

The relative frequency of heads is very different from 70%.

Ellen's claim about the theoretical probability of heads is likely to be false.

The theoretical probability of tails is most likely 30%.

It is likely that the coin is not fair.

Question

Mathematics

Guest

1 February, 22:17

Ellen claims she has a coin that is weighted so that the probability of heads is 70%.

To test this, Ellen flips the coin 100 times and calculates the relative frequency of each outcome.

Outcome Heads Tails

Relative Frequency 0.69 0.31

Which statements about Ellen's experiment are true?

Select each correct answer.

The relative frequency of heads is very different from 70%.

Ellen's claim about the theoretical probability of heads is likely to be false.

The theoretical probability of tails is most likely 30%.

It is likely that the coin is not fair.

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Answers (1)

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Breean · Answer 1

Outcome Heads Tails

Relative Frequency 0.69 0.31

so first statement is false as 69% is close to 70%.

second statement is false as heads probability is close to 70%

last 2 statements are true:

The theoretical probability of tails is most likely 30%.

It is likely that the coin is not fair.