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Provide Solution For  R.D. Sharma Maths Class 12 Chapter 30 Probaility  Exercise 30.5 Question 14 Sub Question 3 Maths Textbook Solution.

Answers (1)

Answer:\frac{24}{35}

Hint: You must know the rules of finding probability.

Given:

Probability of husband's will selected =\frac{1}{7}=P(A)

Probability of wife will selected =\frac{1}{5}=P(B)

Solution:

\begin{aligned} &P(\text { husband selected })=\frac{1}{7} \\\\ &P(\text { wife selected })=\frac{1}{5} \\\\ &P(\text { none of them will be selected })=P(\overline{A \cap B}) \\\\ &=P(\bar{A}) \times P(\bar{B}) \\\\ &=\left(1-\frac{1}{7}\right) \times\left(1-\frac{1}{5}\right) \\\\ &=\left(\frac{6}{7}\right)\left(\frac{4}{5}\right) \end{aligned}

=\frac{24}{35}

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