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If a coin is tossed three times, and a statistician predicts that the probability of obtaining three heads in a row is 0.125, which of the following assumptions is irrelevant to his prediction?Group of answer choicesThe events are dependent.The coin is unbiased.The events are independent.All of the above assumptions are relevant to his prediction.

Question

If a coin is tossed three times, and a statistician predicts that the probability of obtaining three heads in a row is 0.125, which of the following assumptions is irrelevant to his prediction?Group of answer choicesThe events are dependent.The coin is unbiased.The events are independent.All of the above assumptions are relevant to his prediction.

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Solution

The irrelevant assumption to his prediction is "The events are dependent."

The prediction is based on the assumption that the coin is unbiased (meaning it has an equal chance of landing on heads or tails) and that the events are independent (meaning the outcome of one toss does not affect the outcome of the next toss).

If the events were dependent, the outcome of one coin toss would affect the outcome of the next, which would change the probability. Therefore, the assumption that the events are dependent is irrelevant to his prediction.

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