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  • Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 14.

Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 14.

Answers (1)

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

Hint: \text{Probability}=\frac{\text{No. of outcomes}}{\text{Total no.of Outcomes }}

Given,

            A=No. appearing on second die is odd.

            B=The sum of the no. on two dice is 7.

Solution:

Clearly,

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

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

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