Peter and Tom are playing a game where each of them alternately chooses at random an integer between 1 to 10,000, inclusive. Assume that Peter chooses first, and that the chosen integers may be repeated. What is the probability that the first integer selected by Peter is 4-digit number which contains exactly two-distinct digits, with each digit appearing twice?
Peter and Tom are playing a game where each of them alternately chooses at random an integer between 1 to 10,000, inclusive. Assume that Peter chooses first, and that the chosen integers may be repeated. What is the probability that the first integer selected by Peter is 4-digit number which contains exactly two-distinct digits, with each digit appearing twice?
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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Question
Peter and Tom are playing a game where
each of them alternately chooses at random an
integer between 1 to 10,000, inclusive. Assume that
Peter chooses first, and that the chosen integers
may be repeated. What is the probability that the
first integer selected by Peter is 4-digit number
which contains exactly two-distinct digits, with
each digit appearing twice?
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