Homework Help is Here – Start Your Trial Now!
Math
Probability
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'?

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'?

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...
See similar textbooks
icon
Related questions
Question
100%
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
10x9x8 C(50, 3) None of the other choices listed here is correct. 10³ P(50, 3) 3! C(50, 3) 3! P(50, 3) 10x9×8 P(50, 3) 10³ C(50, 3)
Transcribed Image Text:10x9x8 C(50, 3) None of the other choices listed here is correct. 10³ P(50, 3) 3! C(50, 3) 3! P(50, 3) 10x9×8 P(50, 3) 10³ C(50, 3)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS