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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise 30.5 Question 29 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise 30.5 Question 29 Maths Textbook Solution.

Answers (1)

Answer:\frac{39}{80}

Hint: You must know the rules of finding probability functions.

Given:

Bag-A\rightarrow \left ( 3R+5B \right )

Bag-B\rightarrow \left ( 2R+3B \right )

Solution:

It is given that bag A contains 3 red and 5 black balls and bag B contains (2R,3B)

Total no. of balls in bag A = 8 balls

Total no. of balls in bag B =5 balls

P\left ( one\: red\: and\: 2\: black \right )=

P\left ( 1\: red\: from\: bag\: A\: and\:2\: black\: from\: bagB \right )+P\left ( black\: ball\: from\: bag\: A\: and\: remaining\: from\: B \right )

\begin{aligned} &=\left(\frac{3}{8} \times \frac{3}{5} \times \frac{2}{4}\right)+\frac{5}{8} \times \frac{2}{5} \times \frac{3}{4} \times 2 \\ \end{aligned}

\begin{aligned} &=\frac{9}{80}+\frac{30}{80}=\frac{39}{80} \end{aligned}

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