, ,

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

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

Fill in the known values.

Simplify.

Subtract from .

Rewrite as .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Expand to .

Divide by .

Fill the known values into the equation.

Evaluate the exponent.

Multiply by .

Subtract from .

Subtract from .

Raise to the power of .

Multiply by .

Find the Probability n=8 , x=1 , p=0.75