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  • Perplex

    Inference & Hypotheses (Lesson 1/6)

    Hypothesis Testing and p-values

    1 / 8

    Discussion

    Amara is flipping a coin that she believes is fair. But every time she flips it, it lands on heads!

    (a)

    Assuming the coin is fair, find the probability that Amara flips 5 heads in a row.

    Solution:

    Think about it one flip at a time. A fair coin has a 1/2 chance of landing heads. To get 2 heads in a row, both flips must be heads, so we take half of a half. Keep that idea going: each extra required head halves the chance again.

    So for 5 heads in a row:

    (21​)5=321​≈0.03125

    That’s about 3.125%.