Concept explainers
To find: Probability of getting each number exactly once
Answer to Problem 98RE
The probability that each side appears exactly once is given by 0.0154
Explanation of Solution
Given:
Suppose a six-sided die is tossed six times
Suppose a six-sided die is tossed six times
Since there are 6 possible outcomes in a single toss of a six-sided die
Therefore, when the six-sided die is tossed six times, then the total number of outcomes will be
Assume that
Note that there are six numbers on the die which has to be filled at six places such that each number appears exactly once.
Therefore, the number of elements favorable to the event E
Thus the probability that each side appears exactly once is given by
Put the values to get
Hence, the probability that each side appears exactly once is given by 0.0154
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning