# 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, .

Use the formula for the probability of a binomial distribution to solve the problem.

Find the value of .

Find the number of possible unordered combinations when items are selected from available items.

Fill in the known values.

Simplify.

Simplify the numerator.

Expand to .

Simplify.

Simplify the denominator.

Remove parentheses.

Expand to .

Subtract from to get .

Expand to .

Simplify.

Multiply by to get .

Divide by to get .

Fill the known values into the equation.

Simplify the result.

Multiply by to get .

Remove parentheses around .

Anything raised to is .

Multiply by to get .

Subtract from to get .

Subtract from to get .

Remove parentheses around .

Raise to the power of to get .

Find the probability of .

Use the formula for the probability of a binomial distribution to solve the problem.

Find the value of .

Find the number of possible unordered combinations when items are selected from available items.

Fill in the known values.

Simplify.

Simplify the numerator.

Expand to .

Simplify.

Simplify the denominator.

Remove parentheses.

Expand to .

Subtract from to get .

Expand to .

Simplify.

Multiply by to get .

Divide by to get .

Fill the known values into the equation.

Simplify the result.

Multiply by to get .

Remove parentheses around .

Anything raised to is .

Multiply by to get .

Subtract from to get .

Subtract from to get .

Remove parentheses around .

Raise to the power of to get .

Use the formula for the probability of a binomial distribution to solve the problem.

Find the value of .

Find the number of possible unordered combinations when items are selected from available items.

Fill in the known values.

Simplify.

Subtract from to get .

Rewrite as .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Expand to .

Divide by to get .

Fill the known values into the equation.

Simplify the result.

Remove parentheses around .

Evaluate the exponent.

Multiply by to get .

Subtract from to get .

Subtract from to get .

Remove parentheses around .

Raise to the power of to get .

Multiply by to get .

Add and to get .