Find the probability that when a couple has three ​children, at least one of them is a girl. ​(Assume that boys and girls are equally​ likely.)what is the probability that at least one of the three children is a girl.

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This is about Probability.

P(at least 1 to be a girl) = 7/8

A couple can only give birth to either a girl or a boy.

Now, we are told that boys and girls are equally likely. This means that;

Probability of getting a boy = 1/2

Probability of getting a girl = 1/2

  • Now, if they have three children, we can say that the probability of not having any girl will be expressed as;

P(no girls) = 1/2 × 1/2 × 1/2

P(no girls) = 1/8

  • Now, the probability of getting at least one to be a girl will;

P(at least 1 to be a girl) = 1 - P(no girls)

P(at least 1 to be a girl) = 1 - 1/8

P(at least 1 to be a girl) = 7/8

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