SOLUTION: A quiz consists of ten true or false questions. If I randomly choose an answer for each question, what is the probability that I answer exactly 6 questions correctly? Answer in fr

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Question 670527: A quiz consists of ten true or false questions. If I randomly choose an answer for each question, what is the probability that I answer exactly 6 questions correctly? Answer in fraction reduced to lowest terms. I am not quite sure how to set this up, I was thinking 2^10*c(10,6) but it just doesn't look right. Thanks for the help.
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The probability of successes in trials where is the probability of success on any given trial is given by:

Where is the number of combinations of things taken at a time and is calculated by

So calculate:

Get out your calculator and get to work.

John

My calculator said it, I believe it, that settles it