To find: The most likely sum and the probability of the sum to be at most 3.
5 and
Given information:
Two 4 sided dice is thrown. Note the sum of the faces for the outcome.
Formula used:
Probability of a certain event can be found by the following formula:
The most likely sum will be the
Calculation:
Here, two dice are thrown each of which has 4 sides.
So, total number of outcomes will be
The possible values of
The probability distribution table is shown below:
2 | 3 | 4 | 5 | 6 | 7 | 8 | |
Outcomes | 1 | 2 | 3 | 4 | 3 | 2 | 1 |
The most likely sum is 5, as it takes 4 times in the distribution table.
There are two cases for the sum to be ta most 3.
Case I
Sum is 2, number of such case is 1.
Case II
Sum is 3, number of such case is 2.
So, probability of the sum to be at most 3 is calculated below:
Hence, the most likely sum is 5 and the probability of the sum to be at most 3 is
Chapter 6 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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