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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise 30.5 Question 30 Sub Question 2 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise 30.5 Question 30 Sub Question 2 Maths Textbook Solution.

Answers (1)

Answer: \frac{2}{7}

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

Given:

P\left ( Fatima\: gets\: selected \right )=\frac{1}{7}=P\left ( A \right )

P\left (John\: gets\: selected \right )=\frac{1}{5}=P\left ( B \right )

Solution:

P\left (only\:one\: of\: them gets\: selected \right )=P\left ( A \right )\times P\left ( \bar{B} \right )+P\left ( \bar{A} \right )\times P\left ( B \right )

\begin{aligned} &=\frac{1}{7}\left(1-\frac{1}{5}\right)+\left(1-\frac{1}{7}\right) \frac{1}{5} \\\\ &=\frac{1}{7} \times \frac{4}{5}+\frac{6}{7} \times \frac{1}{5} \\\\ &=\frac{4}{35}+\frac{6}{35} \\\\ &=\frac{10}{35}=\frac{2}{7} \end{aligned}

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