The letters of the word MISSISSAUGA are arranged in a random order to form a "word". Calculate the probability that a) the letters occur in alphabetic order. b) the letters U, G and M occur together in any order. c) the word begins with an S and two I's occur together. d) the word begins and ends with the same letter. e) only three S's occur together.

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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The letters of the word MISSISSAUGA are arranged in a random order to form a "word". Calculate
the probability that
a) the letters occur in alphabetic order.
b) the letters U, G and M occur together in any order.
c) the word begins with an S and two I's occur together.
d) the word begins and ends with the same letter.
e) only three S's occur together.
Transcribed Image Text:The letters of the word MISSISSAUGA are arranged in a random order to form a "word". Calculate the probability that a) the letters occur in alphabetic order. b) the letters U, G and M occur together in any order. c) the word begins with an S and two I's occur together. d) the word begins and ends with the same letter. e) only three S's occur together.
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