Concept explainers
To calculate the sum that is most likely to occur when two dice are rolled and also make a probability distribution table. Then to make the probability graph.
Answer to Problem 15HP
The sum 7 is most likely to happen when 2 dice are rolled 12 times and the probability distribution table is,
X=sum of Dice | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Probability |
The probability graph is made from the data obtained from the probability distribution table for the confirmation of the answer.
Explanation of Solution
Given information:
Two dice are rolled twelve times.
Calculation:
At first, find the number of ways to get each sum by rolling both dice together
When the sum is 2 the possibility of getting number in dice is
When the sum is 3 the possibility is
When the sum is 4 the possibility is
When the sum is 5 the possibility is
Similarly, for the sum 6, 7, 8, 9, 10, 11 and 12 the number of ways are 5, 6, 5, 4, 3, 2 and 1.
The number of ways are obtained from the possibility assumption.
So, there are 36 possible sums from rolling of two dice
Now, the probability can be calculated when number of ways is divided by the possible sum
For example, when sum = 2 so probability =
When sum = 3 so probability =
When sum = 4 so probability =
By similar ways all the probability distribution can be obtained
Therefore, the probability distribution table for this is,
X=sum of Dice | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Probability |
The sum 7 is most likely to happen when two dice are rolled 12 times
Graph:
Interpretation:
Hence, the probability graph is made from the data obtained from the probability distribution table for the confirmation of the answer.
Chapter 12 Solutions
Algebra 1
Additional Math Textbook Solutions
Elementary Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra
College Algebra (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education