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left to right. What is the probability that the left-most card has the letter 'A', the middle card has the letter 'B', and the right-most card has the letter 'C'?

left to right. What is the probability that the left-most card has the letter 'A', the middle card has the letter 'B', and the right-most card has the letter 'C'?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the following set of 50 cards: Three cards are randomly taken from these 50 cards and placed on the table from left to right. What is the probability that the left-most card has the letter 'A', the middle card has the letter 'B', and the right-most card has the letter 'C'? For example, the following configuration satisfies this: A3, B7, C7. A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 BO B1 B2 B3 B4 B5 B6 B7 B8 B9 CO C1 C2 C3 C4 C5 C6 C7 C8 C9 DO D1 D2 D3 D4 D5 D6 D7 D8 D9 EO E1 E2 E3 E4 E5 E6 E7 E8 E9 The following configurations do not satisfy this: B7, A3, C7 A9, B9, E4 A9, B9, A4
Transcribed Image Text:Consider the following set of 50 cards: Three cards are randomly taken from these 50 cards and placed on the table from left to right. What is the probability that the left-most card has the letter 'A', the middle card has the letter 'B', and the right-most card has the letter 'C'? For example, the following configuration satisfies this: A3, B7, C7. A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 BO B1 B2 B3 B4 B5 B6 B7 B8 B9 CO C1 C2 C3 C4 C5 C6 C7 C8 C9 DO D1 D2 D3 D4 D5 D6 D7 D8 D9 EO E1 E2 E3 E4 E5 E6 E7 E8 E9 The following configurations do not satisfy this: B7, A3, C7 A9, B9, E4 A9, B9, A4
10×9×8 C(50, 3) None of the other choices listed here is correct. 10³ P(50, 3) 3! C(50, 3) 3! P(50, 3) 10x9x8 P(50, 3) 10³ C(50, 3)
Transcribed Image Text:10×9×8 C(50, 3) None of the other choices listed here is correct. 10³ P(50, 3) 3! C(50, 3) 3! P(50, 3) 10x9x8 P(50, 3) 10³ C(50, 3)
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