Distinguish 71184

We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that:
a) the youngest girl will be among the children
b) all children will be of the same sex

Correct answer:

p₁ =  0.5
p₂ =  0.25

Step-by-step explanation:

$$\begin{gathered} p=\frac{1}{2}=0.5 \\ {p}_1=p=\frac{1}{2}=0.5 \end{gathered}$$

$p_2=2\cdot p^3=2\cdot {\frac{1}{2}}^3=\frac{1}{4}=0.25$

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