We wish to choose one child of 2 boys and 3 girls. A coin is tossed. if it comes up heads, a boy is chosen otherwise a girl is chosen. Describe the sample space.

Engineering

Mathematics

Conditional Probability

Question

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Sample space

\Rightarrow

Head

\to 2 C 1

(choosing 1 from 2 boys)

Tail→ ³C₁(choosing

\frac{1}{3}

from girls)

S . S = \frac{1}{2} \times^{2} C_{1} + 1 \times^{3} C_{1} = 5

Sample space $\Rightarrow$ Head $\to 2 C 1$ (choosing 1 from 2 boys)

Tail→ ³C₁(choosing $\frac{1}{3}$ from girls)

∴ $S . S = \frac{1}{2} \times {}^{2}C_{1} + 1 \times {}^{3}C_{1} = 5$ .

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