Four fair eight-sided dice are rolled. An outcome is an ordered sequence of 4 numbers between 1 and 8. For example, the sequence 1-1-4-3 is different from the sequence 4-1-3-1. a) How many outcomes are possible? b) What is the probability that a roll results in 4 different numbers? c) What is the probability that a roll results in 4 of the same number? a) The number of possible outcomes is (Simplify your answer.) b) The probability that a roll results in 4 different numbers is (Type an integer or decimal rounded to four decimal places as needed.) c) The probability that a roll results in 4 of the same number is (Type an integer or decimal rounded to seven decimal places as needed.)
Four fair eight-sided dice are rolled. An outcome is an ordered sequence of 4 numbers between 1 and 8. For example, the sequence 1-1-4-3 is different from the sequence 4-1-3-1. a) How many outcomes are possible? b) What is the probability that a roll results in 4 different numbers? c) What is the probability that a roll results in 4 of the same number? a) The number of possible outcomes is (Simplify your answer.) b) The probability that a roll results in 4 different numbers is (Type an integer or decimal rounded to four decimal places as needed.) c) The probability that a roll results in 4 of the same number is (Type an integer or decimal rounded to seven decimal places as needed.)
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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Transcribed Image Text:Four fair eight-sided dice are rolled. An outcome is an ordered sequence of 4 numbers between 1 and 8. For example, the sequence 1-1-4-3 is different from
the sequence 4-1-3-1.
a) How many outcomes are possible?
b) What is the probability that a roll results in 4 different numbers?
c) What is the probability that a roll results in 4 of the same number?
a) The number of possible outcomes is
(Simplify your answer.)
b) The probability that a roll results in 4 different numbers is
(Type an integer or decimal rounded to four decimal places as needed.)
c) The probability that a roll results in 4 of the same number is
(Type an integer or decimal rounded to seven decimal places as needed.)
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