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Concept explainers
(a)
To find:The experimental probability that a customer will win.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 67STP
The experimental probability that a customer will win is
Explanation of Solution
Given information:
A local movie theater has advertised that one out of four customers will receive a free popcorn with the purchase of a movie ticket. So far,
Calculation:
In an experiment,
The experimental probability is the ratio of the number of favorable outcomes to the number of total outcomes.
So, the experimental probability that a customer will win is,
Therefore, the experimental probability that a customer will win is
(b)
To find: The theoretical probability that a customer will win.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 67STP
The theoretical probability that a customer will win is
Explanation of Solution
Given information:
A local movie theater has advertised that one out of four customers will receive a free popcorn with the purchase of a movie ticket. So far,
Calculation:
Since, one out of four customers will receive a free popcorn with the purchase of a movie ticket.
The theoretical probability is the ratio of the number of favorable outcomes to the number of total outcomes.
So, the theoretical probability that a customer will win is,
Therefore, the theoretical probability that a customer will win is
(c)
To find: The difference between theoretical and experimental probability that a customer will win.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 67STP
The difference between theoretical and experimental probability that a customer will win is
Explanation of Solution
Given information:
A local movie theater has advertised that one out of four customers will receive a free popcorn with the purchase of a movie ticket. So far,
Calculation:
As calculated in part (a), the experimental probability that a customer will win is
As calculated in part (b), the theoretical probability that a customer will win is
The difference between theoretical and experimental probability is,
Therefore, the difference between theoretical and experimental probability that a customer will win is
Chapter 1 Solutions
Algebra 1
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