Finite Math Examples

Find the Probability of the Binomial Event
, ,
Step 1
Use the formula for the probability of a binomial distribution to solve the problem.
Step 2
Find the value of .
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Step 2.1
Find the number of possible unordered combinations when items are selected from available items.
Step 2.2
Fill in the known values.
Step 2.3
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Step 2.3.1
Subtract from .
Step 2.3.2
Rewrite as .
Step 2.3.3
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Step 2.3.4
Expand to .
Step 2.3.5
Divide by .
Step 3
Fill the known values into the equation.
Step 4
Simplify the result.
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Step 4.1
Evaluate the exponent.
Step 4.2
Multiply by .
Step 4.3
Subtract from .
Step 4.4
Subtract from .
Step 4.5
Raise to the power of .
Step 4.6
Multiply by .
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