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)
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...
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

Blurred answer
Similar questions
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