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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

From a pack of 52 cards, two cards are drawn at random. Find the probability that one is a king and the other is a queen. - Business Mathematics and Statistics

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Question

From a pack of 52 cards, two cards are drawn at random. Find the probability that one is a king and the other is a queen.

Sum

Solution

The number of kings is 4

The number of queens is 4

Two cards are drawn.

The probability of one king and one queen is, = `(4"C"_1 xx 4"C"_1)/(52"C"_2)`

= `(4 xx 4 xx 2)/(52 xx 51)`

= `8/(13 xx 51)`

= `8/663`

= 0.012

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Chapter 8: Descriptive Statistics and Probability - Exercise 8.2 [Page 204]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 8 Descriptive Statistics and Probability
Exercise 8.2 | Q 14 | Page 204

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