Calculating Binomial Distribution with a Calculator

[domyy]

Homework Statement

Hello, I am trying to calculate the following:

15!/(1!)(14!) x (0.80)^14 x (0.2)^1

I understand the problem as I have already put the numbers together. My trouble is actually using the calculator to find the answer. When I try to find 15! = 1.307674368^12

I am confused about this.

The answer for the problem should be 0.132.

 

[haruspex]

Using the calculator that way might go wrong if the numbers get too big for the calculator to maintain 100% accuracy. There really is no need to calculate 15!. There's an easy simplification available.

 

[domyy]

But there's answer available for the problem. My answer at first was 0.00132.

But it should be 0.132

 

[LCKurtz]

Without your calculator, on a sheet of paper write down $\frac{15!}{14!}$ writing out the factorials. It simplifies.

 

[domyy]

THANKS! Now, I got the right answer!