SOLUTION: If a student is guessing randomly on a multiple choice test with 4 possible responses per question, and 16 questions: What is the probability of getting AT LEAST 6 correct?

Algebra ->  Testmodule -> SOLUTION: If a student is guessing randomly on a multiple choice test with 4 possible responses per question, and 16 questions: What is the probability of getting AT LEAST 6 correct?      Log On


   

Question 1199510: If a student is guessing randomly on a multiple choice test with 4 possible responses per question, and 16 questions:
What is the probability of getting AT LEAST 6 correct?
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


The probability of exactly successes in independent trials with a uniform probability of success on any given trial of is given by:



where is the number of combinations of things taken at a time.

The probability of at least successes in independent trials with a uniform probability of success on any given trial of is given by the sum:



Which is the probability of exactly successes plus the probability of exactly and so on up to the probability of exactly n successes.

Just plug in your numbers, remembering to express the probability as a decimal, and do the indicated arithmetic.

It may save you some arithmetic if you recognize that

John

My calculator said it, I believe it, that settles it
From
I > Ø