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?
A)The events are dependent.
B)The events are independent.
C)The coin is unbiased.
D)All of the above assumptions are relevant to his prediction.

Question

Quizplus · Accepted Answer

The prediction that the probability of obtaining three heads in a row is 0.125 is based on the assumption that each coin toss is independent of the others and that the coin is unbiased. The independence of events (B) ensures that the outcome of one toss does not affect the others, and the unbiased nature of the coin (C) ensures that the probability of heads or tails is equal (0.5 for each). The assumption of dependent events (A) is irrelevant because the calculation of the probability (0.5^3 = 0.125) assumes independence, not dependence.

If a Coin Is Tossed Three Times, and a Statistician