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  • Please Solve R.D. Sharma class 12 Chapter 30 Probaility Exercise 30.5 Question 5 Maths Textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 30 Probaility  Exercise 30.5 Question 5 Maths Textbook Solution.

Answers (1)

Answer: 35%

Hint: You must know the rules of finding probability

Given: A speaks 75% of truth

 B speaks 80% of truth

Solution:P(both narrating different incidents)=P(A speaks truth and B lies)+P(A lies and B speaks truth)

\begin{aligned} &=P(A \cap \bar{B})+P(\bar{A} \cap B) \\ &{[\because P(A \cap B)=P(A) P(B)]} \\ &=P(A) P(\bar{B})+P(\bar{A}) P(B)] \\ &{[P(\bar{B})=1-P(B)]} \\ \end{aligned}

\begin{aligned} &=0.75(1-0.80)+(1-0.75)(0.80) \\ &=0.75(0.20)+(0.25)(0.80) \\ &=0.15+0.2 \\ &=0.35 \\ &=35 \% \end{aligned}

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