Calculators & Converters

    Probability of Getting 1 Head in 3 Coin Tosses

    Probability Calculator

    getcalc.com's solved example with solution to find what is the probability of getting 1 Head in 3 coin tosses.
    P(A) = 7/8 = 0.88 for total possible combinations for sample space S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} & successful events for getting at least 1 head A = {HHH, HHT, HTH, HTT, THH, THT, TTH} for an experiment consists of three independent events.

    for 1 Head in 3 Coin Flips
    Atleast 1 HeadExactly 1 Head
    Total Events n(S)88
    Success Events n(A)73
    Probability P(A)0.880.38

    The above probability of outcomes applicable to the below questions too.

    • Probability of flipping a coin 1 times and getting 3 head in a row
    • Probability of getting 3 head when flipping 1 coins together
    • A coin is tossed 1 times, find the probability that at least 3 are head?
    • If you flip a fair coin 1 times what is the probability that you will get exactly 3 head?
    • A coin is tossed 1 times, what is the probability of getting exactly 3 head?

    Atleast 1 Head in 3 Coin Tosses

    The ratio of successful events A = 7 to the total number of possible combinations of a sample space S = 8 is the probability of 1 head in 3 coin tosses. Users may refer the below solved example work with steps to learn how to find what is the probability of getting at-least 1 head, if a coin is tossed three times or 3 coins tossed together. Users may refer this tree diagram to learn how to find all the possible combinations of sample space for flipping a coin one, two, three or four times.


    Solution
    Step by step workout
    step 1 Find the total possible events of sample space S
    S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

    S = 8

    step 2 Find the expected or successful events A
    A = {HHH, HHT, HTH, HTT, THH, THT, TTH}

    A = 7

    step 3 Find the probability
    P(A) = Successful Events/Total Events of Sample Space
    = 7/8

    = 0.88
    P(A) = 0.88

    0.88 is the probability of getting 1 Head in 3 tosses.

    Exactly 1 head in 3 Coin Flips

    The ratio of successful events A = 3 to total number of possible combinations of sample space S = 8 is the probability of 1 head in 3 coin tosses. Users may refer the below detailed solved example with step by step calculation to learn how to find what is the probability of getting exactly 1 head, if a coin is tossed three times or 3 coins tossed together.


    Solution :
    Step by step workout
    step 1 Find the total possible combinations of sample space S
    S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

    S = 8

    step 2 Find the expected or successful events A
    A = {HTT, THT, TTH}

    A = 3

    step 3 Find the probability
    P(A) = Successful Events/Total Events of Sample Space
    = 3/8

    = 0.38
    P(A) = 0.38

    0.38 is the probability of getting exactly 1 Head in 3 tosses.

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