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  • Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 24.

Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 24.

Answers (1)

Answer: 0.6

Hint: P(E \mid F)=\frac{P(E \cap F)}{p(F)} 

Given,  S=Person buying a shirt

            T=Person buying a trouser

Solution:

\begin{aligned} &P(S)=0.2 \\ &P(T)=0.3 \\ &P(S \mid T)=0.4 \\ &P(S \mid T)=\frac{P(S \cap T)}{P(T)} \\ &P(S \cap T)=P(S \mid T) \cdot P(T) \\ &=0.4 \times 0.3 \\ &=0.12 \end{aligned}

Now,

\begin{aligned} &P(T \mid S)=\frac{P(S \cap T)}{P(S)} \\ &=\frac{0.12}{0.2}=0.6 \end{aligned}

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