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  • Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise Case Study Based  Question, question 6 sub question (v).

Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise Case Study Based  Question, question 6 sub question (v).

Answers (1)

Answer:

            (a)

Hint:

            You must know rules of conditional probability

Given:

            Chance of question solved by Aarushi is 30%, Avni is 25% and Mira is 45%, the probability error done by Aarushi 0.01, Avni 0.012, Mira 0.02

Solution:

If an error is noticed in the solution, the probability that it was solved by Avni or Mira

By Baye’s theorem,

P(\text { Avni })+P(\text { Mira })=\frac{P(\text { Avni })+P(\text { Mira })}{P(\text { Aarushi })+P(\text { Avni })+P(\text { Mira })}

\begin{aligned} &=\frac{0.25 \times 0.012+0.45 \times 0.02}{0.30 \times 0.01+0.25 \times 0.012+0.45 \times 0.02} \\ &=\frac{0.003+0.009}{0.003+0.003+0.009} \\ &=\frac{0.012}{0.015} \\ &=0.8 \end{aligned}
 

So, (a) is correct answer

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