SOLUTION: A true/false test has 4 questions. What is the probability of getting at least 3 right by guessing the answers randomly?

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Question 1042801: A true/false test has 4 questions. What is the probability of getting at least 3 right by guessing the answers randomly?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
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A true/false test has 4 questions. What is the probability of getting at least 3 right by guessing the answers randomly?
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The full space of outcomes has   = 16 elements.

The successive outcomes are  (a) 4 matching of 4 (only one),  and  (b) 3 matching of 4 (4 possibilities).

Hence,  the answer is   = = 0.3125.


Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
A true/false test has 4 questions. What is the probability of getting at least 3 right by guessing the answers randomly?
Probability of getting at least 3 means the probability of getting 3 or the probability of getting 4 correct. 
Use the BINOMIAL PROBABILITY formula:
Probability of getting 3 correct:
Probability of getting 4 correct:
Probability of getting at least 3 correct (probability of getting 3 or 4 correct):
OR
Use the BINOMCDF feature on a calculator (e.g. TI-83/84). Enter: binomcdf(4,.5,1). You should also get
OR
Use MS Excel. Enter: "=1-binomdist(3-1,4,.5,1." You should also get the above answer.
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