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Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.6 question 10

Answers (1)

Answer:

 \frac{29}{63}

Hint:

 To solve this we use total probability

Given:

 Bag 1 → 4 white balls ; 5 black balls

 Bag 2 → 6 white balls ; 7 black balls

Solution:

P ( white ball is drawn ) =

P ( white ball transfer ) x P( white ball is drawn ) + P ( black ball transfer ) x P( black ball is drawn )

\begin{aligned} &=\frac{4}{9}\times \frac{7}{14}+\frac{5}{9}\times \frac{6}{14}\\ &=\frac{28}{126}+\frac{30}{126}\\ &=\frac{58}{126}=\frac{29}{63} \end{aligned}

Posted by

Gurleen Kaur

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