Finite Math Examples

, ,
Subtract from to get .
When the value of the number of successes is given as an interval, then the probability of is the sum of the probabilities of all possible values between and . In this case, .
Find the probability of .
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Use the formula for the probability of a binomial distribution to solve the problem.
Find the value of .
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Find the number of possible unordered combinations when items are selected from available items.
Fill in the known values.
Simplify.
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Subtract from to get .
Rewrite as .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Expand to .
Divide by to get .
Fill the known values into the equation.
Simplify the result.
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Remove parentheses around .
Raise to the power of to get .
Multiply by to get .
Subtract from to get .
Subtract from to get .
Remove parentheses around .
Evaluate the exponent.
Multiply by to get .
Find the probability of .
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Find the probability of .
Tap for more steps...
Use the formula for the probability of a binomial distribution to solve the problem.
Find the value of .
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Find the number of possible unordered combinations when items are selected from available items.
Fill in the known values.
Simplify.
Tap for more steps...
Subtract from to get .
Rewrite as .
Reduce the expression by cancelling the common factors.
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Expand to .
Divide by to get .
Fill the known values into the equation.
Simplify the result.
Tap for more steps...
Remove parentheses around .
Raise to the power of to get .
Multiply by to get .
Subtract from to get .
Subtract from to get .
Remove parentheses around .
Evaluate the exponent.
Multiply by to get .
Use the formula for the probability of a binomial distribution to solve the problem.
Find the value of .
Tap for more steps...
Find the number of possible unordered combinations when items are selected from available items.
Fill in the known values.
Simplify.
Tap for more steps...
Reduce the expression by cancelling the common factors.
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Simplify the denominator.
Tap for more steps...
Subtract from to get .
Expand to .
Divide by to get .
Fill the known values into the equation.
Simplify the result.
Tap for more steps...
Multiply by to get .
Remove parentheses around .
Raise to the power of to get .
Subtract from to get .
Subtract from to get .
Remove parentheses around .
Anything raised to is .
Multiply by to get .
Add and to get .
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