Question

In Happyville, the ideal family has four childrem, at least two of which are girls. If you randomly select a Happyville family that has four children, what is the probabillity that it is not ideal?

A. 5/8
B. 3/8
C. 5/16
D. 7/16
E. 11/16

Answer 1

The probability that a randomly selected Happyville family with four children is not ideal is 5/16. Therefore, the correct option is C.

Step-by-step explanation:

To find the probability that a Happyville family with four children is not ideal, we need to find the complement of the event that at least two children are girls.

Let's calculate the probability.

There are 16 possible outcomes when randomly selecting four children:

{BBBB, BBGG, BGBG, BGGB, GBGB, GGBB, GBBG, BGGG, GGGB, GBGG, GGBG, GGGB, GGGB, GGGG, GGGG, GGGG}

Out of these outcomes, there are 11 outcomes where at least two children are girls.

Therefore, the probability that a randomly selected Happyville family with four children is ideal is 11/16.

The probability that it is not ideal (the complement) is 1 - 11/16 = 5/16.

Therefore, the probability that it is not ideal (the complement) is 5/16. Therefore, the correct option is C.