SOLUTION: A student is taking a true/false exam with 16 questions. If he guesses on each question, what is the probability he will get at least 14 questions correct?

Question 287950: A student is taking a true/false exam with 16 questions. If he guesses on each question, what is the probability he will get at least 14 questions correct?
Found 2 solutions by stanbon, nyc_function:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A student is taking a true/false exam with 16 questions. If he guesses on each question, what is the probability he will get at least 14 questions correct?
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P(14<= x <=16)
= 1 - 16C14(1/2)^14*(1/2)^2
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= 1 - 120(1/2)^16
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= 1 - 0.001831
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= 0.9982
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Cheers,
Stan H.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
There are 16 questions. For each question, the student has two answers to select from.
TIP: 16 x 2 = 32 = total choices
Let p = probability
p(14 correct) = 14/total choices
Can you do it now?
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