Concept explainers
Playing the Slots A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. If each of the four items is equally likely to appear on a given spin, what is your probability of winning?
To find:the probability of winning the given spin machine condition.
Answer to Problem 4.100SE
Explanation of Solution
Given:
A spin machine game has three slots; each will show a lemon, a star, or a bar when spun.
The player wins if all the three slots have same items.
Calculation:
Let
Since each slot has 4 possibilities,
Then total number of simple events is given as
The number of ways of winning is the number of ways you can choose an object, given as
Now, the probability of winning the spin slot machine is:
Hence, theprobability of winning the spin slot machine is
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Chapter 4 Solutions
Introduction to Probability and Statistics
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