Concept explainers
(a)
To find: the probability model for this possibility process.
(a)
Explanation of Solution
Given:
There are four-sided die has 4 possible outcomes: 1, 2, 3 and 4, where all 4 outcomes are equally likely to occur
Rolling two fair four-sided dice
Suppose (x, y) show the result of the two dice, where x shows the result of the 1st die and y show the outcome of the 2nd die.
First die | Second die | |||
1 | 2 | 3 | 4 | |
1 | (1,1) | (1,2) | (1,3) | (1,4) |
2 | (2,1) | (2,2) | (2,3) | (2,4) |
3 | (3,1) | (3,2) | (3,3) | (3,4) |
4 | (4,1) | (4,2) | (4,3) | (4,4) |
(b)
To Explain: the
(b)
Answer to Problem 31E
Explanation of Solution
Given:
Calculation:
There are four-sided die has 4 possible outcomes: 1, 2, 3 and 4, where all 4 outcomes are equally likely to occur
Rolling two fair four-sided dice
Suppose (x, y) show the result of the two dice, where x shows the result of the 1st die and y show the outcome of the 2nd die.
First die | Second die | |||
1 | 2 | 3 | 4 | |
1 | (1,1) | (1,2) | (1,3) | (1,4) |
2 | (2,1) | (2,2) | (2,3) | (2,4) |
3 | (3,1) | (3,2) | (3,3) | (3,4) |
4 | (4,1) | (4,2) | (4,3) | (4,4) |
The table is having 16 outcomes of which 4 outcomes in a sum of 5, more precisely, these outcomes are (1,4), (2,3),(3,2),(4,1) because 1+4 = 5 and 2+3 = 5.
The probability is
Chapter 5 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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