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  • Please Solve R.D. Sharma class 12 Chapter 30 Probaility Exercise 30.4 Question 3 Sub Question 1 Maths Textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 30 Probaility  Exercise 30.4 Question 3 Sub Question 1 Maths Textbook Solution.

Answers (1)

Answer: A and B are not 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 king or queen, B= the card drawn is a queen or jack.

Hint: Probaility=\frac{No\: of\: outcomes}{Total\: Outcomes}

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 )

Let A = Event of King or Queen

            P\left ( A \right )=\frac{8}{2}=\frac{2}{13} ….{No. of king and Queen are 4+4=8 and total outcomes=52}

       B = Event of Queen or Jack

            P\left ( B \right )=\frac{8}{56}=\frac{2}{13} ……{ No. of Jack and Queen are 4+4=8 and total outcomes=52}

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

                        =\frac{4}{12}=\frac{1}{13} …{No. of queen in a pack of cards =4}

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

          Thus, A and B are not independent events.

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