Theoretical and Experimental Probability
Key Questions
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Answer:
determine the number of winning outcomes and losing outcomes then divide each by the total number of outcomes.
Explanation:
If there are 4 chances of winning and 10 possible outcomes then the odds of winning are 4/10 or 2/4
If there are 5 chances of winning and 10 possible outcomes then the odd of losing are 5/10 = 1/2
It is possible that some outcomes are neutral and do not result in either winning or losing In this example 1/10
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Theoretical Probability
Assume that each outcome is equally likely to occur.
Let
#S# be a sample space (the set of all outcomes), and let#E# be an event (a subset of#S# ).The probability of the event
#E# can be found by#P(E)={n(E)}/{n(S)}# ,where
#n(E)# and#n(S)# denote the number of outcomes in#E# and the number of outcomes in#S# , respectively.
Example
What is the probability of rolling a multiple of 3 when you roll a standard die once?
Since all outcomes are 1 through 6, we have the sample space
#S={1,2,3,4,5}# Since all multiple of 3 are 3 and 6, we have the event
#E={3,6}# Hence, the probability of rolling a multiple of 3 is
#P(E)={n(E)}/{n(S)}=2/6=1/3#
I hope that this was helpful.
Questions
Linear Inequalities and Absolute Value
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Inequality Expressions
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Inequalities with Addition and Subtraction
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Inequalities with Multiplication and Division
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Multi-Step Inequalities
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Compound Inequalities
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Applications with Inequalities
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Absolute Value
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Absolute Value Equations
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Graphs of Absolute Value Equations
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Theoretical and Experimental Probability