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  • Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise Case Study Based  Question, question 4 sub question (iv).

Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise Case Study Based  Question, question 4 sub question (iv).

Answers (1)

Answer:

            (c)

Hint:

            You must know rules of finding probability

Given:           

            Aarushi solve the problem correctly  \frac{1}{3}=P(A)

            Avni solve the problem correctly  \frac{2}{7}=P(B)

            Mira solve the problem correctly  \frac{3}{8}=P(C)

Solution:

Probability that exactly one of them solve the problem correctly

\begin{aligned} &=P(A) \cdot P(\bar{B}) \cdot P(\bar{C})+P(\bar{A}) \cdot P(B) \cdot P(\bar{C})+P(\bar{A}) \cdot P(\bar{B}) \cdot P(C) \\ &=\left(\frac{1}{3}\right) \cdot\left(\frac{5}{7}\right) \cdot\left(\frac{5}{8}\right)+\left(\frac{2}{3}\right) \cdot\left(\frac{2}{7}\right) \cdot\left(\frac{5}{8}\right)+\left(\frac{2}{3}\right) \cdot\left(\frac{5}{7}\right) \cdot\left(\frac{3}{8}\right) \\ &=\frac{25+20+30}{168}=\frac{75}{168} \\ &=\frac{25}{56} \end{aligned}

So, (c) is correct answer

 

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