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  • Provide Solution For R.D. Sharma Maths Class 12 Chapter 30 Probaility Exercise 30.5 Question 13 Maths Textbook Solution.

Provide Solution For  R.D. Sharma Maths Class 12 Chapter 30 Probaility  Exercise 30.5 Question 13 Maths Textbook Solution.

Answers (1)

Answer:44%

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

Given: Husband tells a lie in 30% cases,

Wife tells a lie in 35% cases.

Solution:

\begin{aligned} &P(\text { husband lies })=\frac{30}{100}=0.3 \\ &P(\text { wife lies })=\frac{35}{100}=0.35 \end{aligned}

P(both\: will \: contradict \: each\: other\: on \: the\: same\: fact) =

P(husband \: lies,\: wife\: not) + P(wife \: lies, husband\: not)

\begin{aligned} &P(H) P(\bar{W})+P(W) P(\bar{H}) \\ \end{aligned}

\begin{aligned} &=0.3 \times(1-0.35)+(1-0.3) \times 0.35 \\ &=(0.3 \times 0.65)+(0.7 \times 0.35) \\ &=0.195+0.245 \\ &=0.44 \\ &\therefore \text { Both contradict }=44 \% \end{aligned}

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