Multiple choice

In a population of families having three children each, the percentage of population of families having both boys and girls is?

  1. $10$
  2. $25$
  3. $50$
  4. $75$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total possible gender combinations for 3 children are 2^3 = 8: BBB, BBG, BGB, GBB, GGB, GBG, BGG, GGG. Families with both boys and girls are those that are not all boys (BBB) or all girls (GGG). That leaves 8 - 2 = 6 combinations. 6/8 = 75%.

AI explanation

In a family of three children, the sample space consists of 8 equally likely outcomes for the combination of boys and girls. There is 1 outcome for all boys and 1 outcome for all girls, leaving 6 outcomes where the family has both boys and girls. The probability and corresponding population percentage is calculated as (6 / 8) * 100, which equals 75 percent.

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