If the first seven childern born to a particular pair of parents are all males ,what is the probability that the eighth child will also be a male ?

Options

A. `1/2`
B. `1/4`
C. `1/8`
D. `1/16`

Answer

To solve the question of the probability that the eighth child will be male given that the first seven children are all males, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the basics of probability**: The sex of a child is determined by the combination of sex chromosomes contributed by the parents. The mother always contributes an X chromosome, while the father can contribute either an X or a Y chromosome.

2. **Identifying the probabilities**: For each child, there is a 50% chance (1/2) that the child will be male (XY) and a 50% chance (1/2) that the child will be female (XX). This probability remains constant regardless of the outcomes of previous births.

3. **Analyzing previous outcomes**: The fact that the first seven children were all males does not influence the probability of the eighth child’s sex. Each child’s sex is an independent event.

4. **Calculating the probability for the eighth child**: Since the probability of having a male child is always 1/2, the probability that the eighth child will also be male is simply 1/2.

5. **Conclusion**: Therefore, the probability that the eighth child will be male is 1/2.

### Final Answer:
The probability that the eighth child will be male is **1/2**.

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