, ,

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 .

Reduce the expression by cancelling the common factors.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Simplify the denominator.

Expand to .

Multiply by .

Divide by .

Fill the known values into the equation.

Raise to the power of .

Multiply by .

Subtract from .

Subtract from .

Raise to the power of .

Multiply by .

Find the Probability x=3 , n=5 , p=0.3