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  • Explain Solution R.D. Sharma Class 12 Chapter 30 Probability Exercise Multiple Choice Questions Question 62 Maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 30 Probability  Exercise Multiple Choice Questions Question 62 Maths Textbook Solution.

Answers (1)

Answer:

Hint: You must know the rules of finding probability.

Given: A die thrown once.

Let A be the event that the number obtained is greater than 3 and 8 be the event number obtained is less than 5

Solution: A : number of greater than 3 { 4 , 5 ,6 }

B : number of less than 5 { 1 , 2 , 3 , 4 }

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

By addition theorem of probability,

\begin{aligned} &P(A \cup B)=P(A) \times P(B)-P(A \cap B) \\ &P(A \cup B)=\frac{3}{6}+\frac{4}{6}-\frac{1}{6} \\ &=\frac{3+4-1}{6} \\ &=\frac{6}{6}=1 \end{aligned}

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