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  • Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 15.

Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 15.

Answers (1)

Answer: P(B \mid A)=\frac{P(A \cap B)}{p(A)}=\frac{1}{6}

 

Hint: Use, P(B \mid A)=\frac{P(A \cap B)}{p(A)}

Given,

            A= Prime number appears on second die

            B=The sum of the numbers on two dice is 7

Solution:

Clearly,

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

P(A) = 18
P(B) = 6

Required Probability  P(B \mid A)=\frac{P(A \cap B)}{p(A)}=\frac{1}{6}

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