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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise 30.5 Question 22 Sub Question 2 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise 30.5 Question 22 Sub Question 2 Maths Textbook Solution.

Answers (1)

Answer: \frac{43}{81}

Hint: You must know the rules of finding probability .

Given:

P\left ( A\: passing\: the\: exam \right )=\frac{2}{9}

P\left ( B\: passing\: the\: exam \right )=\frac{5}{9}

Solution:

P(only one of them passing the examination) = P (A passes ,B fails) + P (B passes  , A fails)

\begin{aligned} &=\frac{2}{9}\left(1-\frac{5}{9}\right)+\frac{5}{9}\left(1-\frac{2}{9}\right) \\ &=\frac{2}{9}\left(\frac{4}{9}\right)+\frac{5}{9}\left(\frac{7}{9}\right) \\ &=\frac{8}{81}+\frac{35}{81} \\ &=\frac{43}{81} \end{aligned}

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