SOLUTION: A car dealership has 7 red, 14 silver, and 4 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. a) Find the probability that 4 cars a

Algebra ->  Finance -> SOLUTION: A car dealership has 7 red, 14 silver, and 4 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. a) Find the probability that 4 cars a      Log On


   

Question 1096967: A car dealership has 7 red, 14 silver, and 4 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership.
a) Find the probability that 4 cars are red and that the rest are silver.
b) Find the probability that 6 cars are red and 4 cars are black.
c) Find the probability that exactly 7 cars are red.
HELP. Please answer with Full Details ONLY. I need to know Exactly how to enter the information into a calculator to solve. Ex. How do I solve this? (6C4*14C6)/(25C10)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

The steps for evaluating an expression like that will be different for different calculators. I use a TI84, which is one of the most widely used calculators. Below are the steps for how to evaluate 6C4 on the TI84. If you have a different calculator, you can re-post your question, telling what calculator you have; maybe someone out there who has the same kind of calculator can then help you.

Evaluating 6C4 on the TI84:
press 6
press MATH
press right arrow 3 times to highlight PRB (probability)
press 3 (nCr option)
press 4
ENTER

Or, if you want to do the calculation the slow way, the expression 6C4 is
6%21%2F%28%284%21%29%282%21%29%29 = %28%286%2A5%2A4%2A3%2A2%2A1%29%2F%28%284%2A3%2A2%2A1%29%282%2A1%29%29%29 = %286%2A5%29%2F%282%2A1%29+=+30%2F2+=+15
and similarly for the other nCr expressions.