Question

If a fair coin will be flipped three times, what is the probability of flipping at least two heads in a row

Answers

  1. The probability of flipping at least two heads in a row is 3/8.
    Let E be an event of flipping atleast two heads in a row.
    According to the given question.
    A fair coin is flipped three times.
    Therefore,
    The sample space when a fair coin is flipped three times is
    {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
    Where, H denotes of getting H and T denotes getting tail.
    So, there is total eight possible outcomes we get when a fair coin is flipped.
    Now, the total possible sequences or outcomes of getting or flipping atleast two heads in a row would be {HHH, HHT, THH}
    ⇒ Total number of favorable outcomes = 3
    Therefore, the probability of flipping at least two heads in a row is given by
    P(E) = number of favorable outcomes/total number of outcomes
    ⇒ P(E) = 3/8
    Hence, the probability of flipping at least two heads in a row is 3/8.
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