Question

this question: 1 point(s) possible
you select a family with three children. if m represents a male child and f a female child, the set of equally likely outcomes for the childrens genders is shown below. find the probability of selecting a family with at least one female child.
{mmm, mmf, mfm, mff, fmm, fmf, ffm, fff}
the probability of having at least one female child is
(type an integer or a simplified fraction.)

Explanation:

Step1: Count total outcomes

Total number of equally likely outcomes: $n(\text{total}) = 8$

Step2: Count favorable outcomes

Count outcomes with at least 1 female: exclude only {MMM}, so $n(\text{favorable}) = 7$

Step3: Calculate probability

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$
$\text{Probability} = \frac{7}{8}$

Answer:

$\frac{7}{8}$