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

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

Answers (1)

Answer: \frac{2}{5}

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

Given,

            A= 4 appears on the die at least once

            B=The sum of the numbers on two dice is 6

Solution:

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

P(A) = 11
P(B) = 5

Required Probability 

\begin{aligned} &=P\left(\frac{A}{B}\right) \\ &=\frac{n(A \cap B)}{n(B)}=\frac{2}{5} \end{aligned}

                        

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