# Statistics Examples

, ,

Step 1

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

Step 2

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

Simplify.

Step 2.3.1

Subtract from .

Step 2.3.2

Rewrite as .

Step 2.3.3

Reduce the expression by cancelling the common factors.

Step 2.3.3.1

Cancel the common factor of .

Step 2.3.3.1.1

Cancel the common factor.

Step 2.3.3.1.2

Rewrite the expression.

Step 2.3.3.2

Multiply by .

Step 2.3.4

Simplify the denominator.

Step 2.3.4.1

Expand to .

Step 2.3.4.2

Multiply by .

Step 2.3.5

Divide by .

Step 3

Fill the known values into the equation.

Step 4

Step 4.1

Raise to the power of .

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 .