Calculators & Converters

    Probability of Getting 2 Heads in 3 Coin Tosses

    Probability Calculator

    getcalc.com's solved example with solution to find what is the probability of getting 2 Heads in 3 coin tosses.
    P(A) = 4/8 = 0.5 for total possible combinations for sample space S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} & successful events for getting at least 2 heads A = {HHH, HHT, HTH, THH} for an experiment consists of three independent events.

    for 2 Heads in 3 Coin Flips
    Atleast 2 HeadsExactly 2 Heads
    Total Events n(S)88
    Success Events n(A)43
    Probability P(A)0.50.38

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

    • Probability of flipping a coin 2 times and getting 3 heads in a row
    • Probability of getting 3 heads when flipping 2 coins together
    • A coin is tossed 2 times, find the probability that at least 3 are heads?
    • If you flip a fair coin 2 times what is the probability that you will get exactly 3 heads?
    • A coin is tossed 2 times, what is the probability of getting exactly 3 heads?

    Atleast 2 Heads in 3 Coin Tosses

    The ratio of successful events A = 4 to the total number of possible combinations of a sample space S = 8 is the probability of 2 heads 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 2 heads, 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, THH}

    A = 4

    step 3 Find the probability
    P(A) = Successful Events/Total Events of Sample Space
    = 4/8

    = 0.5
    P(A) = 0.5

    0.5 is the probability of getting 2 Heads in 3 tosses.

    Exactly 2 heads 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 2 heads 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 2 heads, 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 = {HHT, HTH, THH}

    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 2 Heads in 3 tosses.

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