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1. a. A number plate consists of three letters followed by three digits (the ordering of the symbols is important). Assume that there are 26 different letters and 10 different digits and that each letter and digit can be used more than once. i. Write down an appropriate description of the set of all possible number plates. ii. What is the probability that the number plate starts with the letter A and ends with the digit 0? iii. What is the probability that all symbols in the number plate are different?

1. a. A number plate consists of three letters followed by three digits (the ordering of the symbols is important). Assume that there are 26 different letters and 10 different digits and that each letter and digit can be used more than once. i. Write down an appropriate description of the set of all possible number plates. ii. What is the probability that the number plate starts with the letter A and ends with the digit 0? iii. What is the probability that all symbols in the number plate are different?

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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1. a. A number plate consists of three letters followed by three digits (the ordering of the symbols is important). Assume that there are 26 different letters and 10 different digits and that each letter and digit can be used more than once. i. Write down an appropriate description of the set of all possible number plates. ii. What is the probability that the number plate starts with the letter A and ends with the digit 0? iii. What is the probability that all symbols in the number plate are different?
Transcribed Image Text:1. a. A number plate consists of three letters followed by three digits (the ordering of the symbols is important). Assume that there are 26 different letters and 10 different digits and that each letter and digit can be used more than once. i. Write down an appropriate description of the set of all possible number plates. ii. What is the probability that the number plate starts with the letter A and ends with the digit 0? iii. What is the probability that all symbols in the number plate are different?
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