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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise Multiple Choice Questions Question 49 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise Multiple Choice Questions  Question 49 Maths Textbook Solution.

Answers (1)

Answer:(a)

Hint: You must know the rules of finding probability.

Given: P(A solve problem correctly) = \frac{1}{3}

P(B solve problem correctly) =\frac{1}{4}

Making common errors =\frac{1}{20}

Solution:

\begin{aligned} &\mathrm{E}_{1}=\text { solve correctly } \\ &\mathrm{E}_{2}=\text { solve incorrectly } \\ &A=\text { Obtain same result } \end{aligned}

P\left(\frac{E_{1}}{A}\right)=\frac{P\left(E_{1}\right) P\left(\frac{A}{E_{1}}\right)}{P\left(E_{1}\right) P\left(\frac{A}{E_{1}}\right)+P\left(E_{2}\right) P\left(\frac{A}{E_{2}}\right)}

\begin{aligned} &=\frac{\frac{1}{12} \times 1}{\frac{1}{12} \times 1+\frac{6}{12} \times \frac{1}{20}} \\ &=\frac{20}{26}=\frac{10}{13} \end{aligned}

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