**Problem 3: Probability with a Finite Set**A 4-letter word is selected at random from Σ⁴, where Σ = {a, b, c, d, e}.**(a)** What is the probability that the letters in the word are distinct?**(b)** What is the probability that there are no vowels in the word?**(c)** What is the probability that the word begins with a vowel?

Given that a 4-letter word is selected at random from Σ4, where Σ=a, b, c, d, e.

Answered: 3. A 4-letter word is selected at…

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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3. A 4-letter word is selected at random from Σ*, where Σ= (a, b, c, d,e). (a) What is the probability that the letters in the word are distinct? (b) What is the probability that there are no vowels in the word? (c) What is the probability that the word begins with a vowel?