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  • Please Solve R.D. Sharma class 12 Chapter 30 Probaility Exercise 30.5 Question 2 Maths Textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 30 Probaility  Exercise 30.5 Question 2 Maths Textbook Solution.

Answers (1)

Answer:\frac{21}{40}

Hint: You must know the rules of finding probability

Given: Bag 1 \rightarrow 3 Red and 5 Black balls

Bag 2 \rightarrow 6 Red and 4 Black balls

Solution:

Bag 1\rightarrow(3R+5B) = 8 balls

Bag 2 \rightarrow(6R+4B) =10 balls

\begin{aligned} &\mathrm{P}(\text { one is red and one is black })=\mathrm{P}(\text { red from bag } 1 \text { and black from } 2 \text { bag) } \\ \end{aligned}

                                                                \begin{aligned} &+\mathrm{P}(\text { red from bag } 2 \text { and black from } 1 \text { bag }) \\ \end{aligned}

\begin{aligned} &=\left(\frac{3}{8} \times \frac{4}{10}\right)+\left(\frac{5}{8} \times \frac{6}{10}\right) \\ &=\frac{12}{80}+\frac{30}{80} \\ &=\frac{42}{80} \\ \end{aligned}

\begin{aligned} &P=\frac{21}{40} \end{aligned}

 

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