📚 CBSE Grade-10 Study Guide
HomeScience (086) (AI practice)

Science (086) — AI-generated practice question

AI-generated practice question — model-generated for extra practice, not a previous-year CBSE board question.

Q1. [5] deep thorough-understanding
A couple is expecting their fourth child. Their first three children are all girls. What is the probability that the fourth child will be a boy? Draw a diagram showing the possible chromosomal combinations at fertilisation and explain why the probability remains the same for every pregnancy.
Generated by claude-sonnet-4-6 · 2026-06-26 01:04 · grounding rag
Model Answer

Probability of the fourth child being a boy = 1/2 (50%)

Chromosomal Diagram at Fertilisation:

```
Mother (XX) Father (XY)
| |
X X X Y
\ / \ /
egg sperm
X X or Y (equal chance)
```

| Sperm from Father | Egg from Mother | Child | Sex |
|---|---|---|---|
| X | X | XX | Girl |
| Y | X | XY | Boy |

Explanation:

Women are XX and men are XY. During gamete formation, the mother always produces eggs carrying one X chromosome. The father produces two types of sperm — half carrying X and half carrying Y — in equal numbers.

The sex of the child depends entirely on which sperm fertilises the egg. An X-bearing sperm produces a girl (XX); a Y-bearing sperm produces a boy (XY).

Each pregnancy is an independent event. The previous three births being girls do not affect the sperm available in the next fertilisation. Therefore, the probability of a boy remains 1/2 every time.

Source: Sex Determination, Chapter 8, Section 8.2.4

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Explanation
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.