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  • Please solve RD Sharma class 12 chapter Probability exercise 30.7 question 25 maths textbook solution

Please solve RD Sharma class 12 chapter Probability exercise 30.7 question 25 maths textbook solution

Answers (1)

Answer:

 \frac{3}{4}

Hint:

 Use Baye’s theorem.

Given:

 An insurance company insures 2000 scooter and 3000 motorcycle. The probability of an accident involve scooter is 0.01 and that of motorcycle.

Solution:

\begin{aligned} &P(E_1)=\frac{2000}{5000}=0.4\\ &P(E_2)=\frac{3000}{5000}=0.6\\ &P\left ( \frac{A}{E_1} \right )=0.01\\ &P\left ( \frac{A}{E_2} \right )=0.02\\ \end{aligned}

Using Baye’s theorem we get

\begin{aligned} &P\left (\frac{E_2}{A} \right )=\frac{P(E_2).P\left ( \frac{A}{E_2} \right )}{P(E_1)\times P\left ( \frac{A}{E_1} \right )+P(E_2)\times P\left ( \frac{A}{E_2} \right )}\\ &=\frac{{0.6\times 0.02}}{0.4\times 0.01+0.6\times 0.02}\\ &=\frac{0.012}{0.004+0.012}\\ &=\frac{3}{4} \end{aligned}

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Gurleen Kaur

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