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Since both genders are equally likely, and since the gender of one child does not affect the gender of another, in this scenario all 8 outcomes are equally likely (each having probability 1/8).Now we're getting to our event of interest: "Having exactly two girls." Let's denote this event by A.How many of the 8 outcomes satisfy (or make up) event A? List them.

Question

Since both genders are equally likely, and since the gender of one child does not affect the gender of another, in this scenario all 8 outcomes are equally likely (each having probability 1/8).Now we're getting to our event of interest: "Having exactly two girls." Let's denote this event by A.How many of the 8 outcomes satisfy (or make up) event A? List them.

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Solution

The outcomes that satisfy the event A (having exactly two girls) are:

  1. Girl, Girl, Boy
  2. Girl, Boy, Girl
  3. Boy, Girl, Girl

So, there are 3 outcomes out of 8 that satisfy the event of having exactly two girls.

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