
Concept explainers
(a)
To calculate:
The probability when all the three mowers are unusable on a particular given day.
(a)

Answer to Problem 8CA
The probability when all the three mowers are unusable on a particular given day is
Explanation of Solution
Given information:
Because one of the mowers is
i.e.
Calculation:
The probability when all the three mowers are unusable on a particular given day can be found out as:
Substitute the values,
Thus, the probability when all the three mowers are unusable on a particular given day is
(b)
To calculate:
The probability when at least one of the mowers is unusable on a particular given day.
(b)

Answer to Problem 8CA
The probability when at least one of the mowers is unusable on a particular given day is
Explanation of Solution
Given information:
Because one of the mowers is
i.e.
Calculation:
The probability when at least one of the mowers is unusable on a particular given day can be found out as:
Substitute the values,
Thus, the probability when at least one of the mowers is unusable on a particular given day is
(c)
To explain:
The probability affecting the productivity of lawn-moving business on a given day.
(c)

Answer to Problem 8CA
If the least reliable mower stops working completely, it wouldn’t affect the productivity of lawn-moving business on a given day.
Explanation of Solution
It is said the owner can stay productive for as long as one of the mowers is working. So, if the least reliable mower stops working completely, it wouldn’t affect productivity of lawn-moving business on a given day.
Chapter 10 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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