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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability Exercise 30.4 Question 13 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise 30.4 Question 13 Maths Textbook Solution.

Answers (1)

Answer: \frac{1}{3}

Hint: Use  P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

Given:

             A = No. 4, 5 or 6 on first toss

             B = 1, 2, 3 or 4 on second toss

Solution:

\mathrm{S}=\left\{\begin{array}{l} (1,1),(1,2),(1,3),(1,4),(1,5),(1,6), \\ (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), \\ (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), \\ (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\ (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), \\ (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) \end{array}\right\}

               n\left ( S \right )=36

           \begin{aligned} &P(A)=\frac{18}{36}=\frac{1}{2} \\ &P(B)=\frac{24}{36}=\frac{2}{3} \\ &\begin{aligned} P(A \cap B) &=P(A) P(B) \\ &=\frac{1}{2} \times \frac{2}{3} \\ &=\frac{1}{3} \end{aligned} \end{aligned}

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