Concept explainers
To calculate: The probability to getting exactly
Answer to Problem 16CT
Solution:
The probability to getting exactly
Explanation of Solution
Given information:
A die roll five times.
Formula used:
The formula to find probability for any event
The number of ways of selecting
Calculation:
To calculate the probability to getting exactly
There are 6 possible outcomes when roll a dice one time, so using multiplication principle;
Number of outcomes when roll a dice five times is
To determine total number of ways to get exactly 2 fours, calculate number of ways to position of 2 fours in 5 and number of ways to select remaining 3 numbers.
Since order is not important in selection so, use combinations to find number of ways to position 2 fours in 5.
Thus, number of ways to position of 2 fours in 5 is
Remaining three position can filled with any of the remaining five numbers from the die.
Thus, using multiplication principle, number of ways to filled remaining three positions is
Therefore, number of ways to get exactly 2 fours is
By writing
Hence,
Therefore, the probability to getting exactly
Chapter 13 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus & Its Applications (14th Edition)
Calculus and Its Applications (11th Edition)
- 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