a. Explanation Calculation: Different shapes in the deck of cards are listed below: Spade cards “ S ” Club cards “ C ” Heart cards “ H ” Diamond cards “ D ” Each shape in the deck of cards has numbers from 2 to 10, Ace ( A ), Jack ( J ), Queen ( Q ), and King ( K ). The number of cards in each shape is 13. Thus, the number of possible outcomes are 13 × 4 = 52 . The number of possible ways to select the n cards is, 52 × 51 × 50 × ... × ( 52 ( n − 1 ) ) = 52 ! ( 52 − n ) ! Among 52 cards, the number of face card is 12 and non-face card is 40. By using the counting rule, the number of ways to select n cards without any face cards is, 40 × 39 × 38 × ... × ( 40 ( n − 1 ) ) = 40 ! ( 40 − n ) ! The probability of at least one face card is, b. To determine Find the value of n when the probability value is 0.5.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 1.8, Problem 22P

To determine

Find the probability that a face card turns up.

To determine

Find the value of n when the probability value is 0.5.

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Chapter 1 Solutions

EBK MATHEMATICAL STATISTICS AND DATA AN

Ch. 1.8 - Prob. 1P Ch. 1.8 - Prob. 2P Ch. 1.8 - Prob. 3P Ch. 1.8 - Prob. 4P Ch. 1.8 - Prob. 5P Ch. 1.8 - Prob. 6P Ch. 1.8 - Prob. 7P Ch. 1.8 - Prob. 8P Ch. 1.8 - Prob. 9P Ch. 1.8 - Prob. 10P

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Find the probability that a face card turns up.

Solution Summary: The author calculates the probability that a face card turns up. Each shape in the deck of cards has numbers from 2 to 10, Ace (A), Jack (J), Queen (Q) and King (K).

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Find the probability that a face card turns up.

Find the value of n when the probability value is 0.5.

Chapter 1 Solutions