Question

question 10 0.5 pts a couple has two female children. what is the probability that their next child will be male? 50% 33% 67% 25%

Explanation:

Step1: Determine the nature of each birth

Each birth is an independent event. The gender of previous children does not affect the gender of the next child.

Step2: Calculate the probability of a male child

In general, the probability of having a male or female child is based on biological factors. Assuming equal probabilities for male ($M$) and female ($F$) at birth, the sample space for a single - child birth is $S=\{M,F\}$.
The probability formula is $P(A)=\frac{n(A)}{n(S)}$, where $n(A)$ is the number of elements in event $A$ and $n(S)$ is the number of elements in the sample space.
For the event of having a male child ($A = \{M\}$), $n(A) = 1$ and $n(S)=2$. So $P(\text{male})=\frac{1}{2}=0.5 = 50\%$.

Answer:

50%