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  • Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 20.

Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 20.

Answers (1)

Answer: \frac{2}{5}

Hint: P(A \mid B)=\frac{n(A \cap B)}{n(B)}

Given :- Now, Let A = 5 appears on the die at least once.

               B = The sum of the no. on two dice is 8

Solution:

Clearly,

\begin{aligned} &A=\left\{\begin{array}{l} (1,5),(2,5),(3,5),(4,5),(5,5), \\ (6,5),(5,1),(5,2),(5,3),(5,4), \\ (5,6) \end{array}\right\} \\ &B=\{(2,6),(3,5),(4,4),(5,3),(6,2)\} \\ &A \cap B=\{(3,5),(5,3)\} \end{aligned}       

            
P(A) = 11
P(B) = 5

Required Probability P(A \mid B)=\frac{P(A \cap B)}{P(B)}=\frac{2}{3}

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