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  • Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 21.

Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 21.

Answers (1)

Answer: =\frac{1}{6}

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

 

Given :- Let,     A=First die shows

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

Solution:

Clearly,

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

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

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