Question

If you flipped two coins simultaneously, for a total of 24 times, how many times, on average, would you expect to get a head and a tail?

Answers

  1. When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.
    For given question,
    When two coins are tossed simultaneously, the sample space is as follows:
    S = { HH, HT, TH, TT} where H denotes Head and T denotes tail.
    Using the formula of probability,
    P = Number of favorable outcomes/total number of outcomes,
    we get,
    P(HT) = 1/4
    and
    P(TH) = 1/4
    We know that the occurrence of two mutually exclusive events is the sum of their individual probabilities.
    So, P(Head on one and Tail on other)
    = P(HT) + P(TH)
    = 1/4 + 1/4
    = 2/4
    = 1/2
    = 0.5
    So, when two coins flipped simultaneously, the probability of flipping 2 coins and getting a head and a tail is 0.5
    In this question, we need to find the number of times getting a head and a tail when two coins are flipped simultaneously 24 times
    = 0.5 × 24
    = 12
    Therefore, When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.
    Learn more about the probability here:
    #SPJ4

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