What are the chances that a family with three children will have three daugters?

Family
SJ9867 asked:


Also, after a family has two daughters, what is the probability that their next child will be a daugter?

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4 Comments

  1. Cathy:

    It will still be 50%.
    If you know how to do a punnet square, you can prove this.

    Ex.
    Parents: XX and XY
    Possible gametes: X, X, X, Y

    —–X Y
    X XX XY
    X XX XY

    Results:
    50% XX (female)
    50% XY (male)

  2. Hans B:

    one in 8 I think
    After a family has any number of daughters, the probability of having another daughter is still 50%.
    But overall, you have 1/2 x 1/2 x 1/2 = 1/8 chance of having all 3 be girls

  3. Collegeplanner:

    Always 50% Just like every time u flip a coin, it doesn’t matter how many times you get heads, its still 50-50

  4. Lucas C:

    The probability of three events occurring independently is equal to the product of their individual probabilities. So, if the probability of having one daughter is 50% (or 1/2), then the probability of having three daughters is:

    P = (1/2)(1/2)(1/2) = (1/2)³ = 1/8 = 12.5%

    If the family already has two daughters, they don’t enter into the probability shuffle anymore (their gender is already confirmed, in other words). So the probability of having another daughter is 50%, or 1/2. Same-same.

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