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  • Please Solve R.D. Sharma class 12 Chapter 30 Probaility Exercise 30.4 Question 3 Sub Question 3 Maths Textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 30 Probaility  Exercise 30.4 Question 3 Sub Question 3 Maths Textbook Solution.

Answers (1)

Answer: A and B are independent events

Given: A card is drawn from a pack of 52 cards so that each card is equally likely to be selected.

            A= the card is a spade, B= the card drawn is an ace

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

Solution: As we know, Two events are said to be independent if the product of the events are equal to their intersection. i.e. P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

                     A = No. of cards is spade

                  P\left ( A \right )\frac{13}{52}=\frac{1}{4}...{Total \: no.\: of \: spades=13}

                 B = No. of cards is ace

               P\left ( B \right )=\frac{4}{52}=\frac{1}{13} \cdot \cdot \cdot \left \{ Total no. of ace cards=4 \right \}

              P\left ( A\cap B \right )=\frac{1}{52}\left \{ {Total no. of ace of spade=1} \right \}

             P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

Thus, A and B are independent events.

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