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  • Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.2 question 8

Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.2 question 8

Answers (1)

Answer:

 \begin{aligned} &\frac{15}{22} \end{aligned}

Hint:

\begin{aligned} &\text { Probability }=\frac{\text { No. of event favourable outcomes }}{ \text { Total no. of outcomes }} \end{aligned}

Given events

            A=A white or red ball in the 1st draw.

            B=A white or red ball in the 2nd draw.

Now,

\begin{aligned} &P(A)=\frac{7}{12}\\ &P\left ( \frac{B}{A} \right )=\frac{6}{11}\\ &P(A\cap B)=P(A)\times P\left ( \frac{B}{A} \right )\\ &=\frac{7}{12}\times \frac{6}{11}\\ &=\frac{7}{22}\\ &\text { Required Probability }=1-P(A\cap B)\\ &=1-\frac{7}{22}\\ &=\frac{15}{22} \end{aligned}

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Gurleen Kaur

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