question archive An algebra test has 6 multiple choice questions with 4 choices with 1 correct answer each
An algebra test has 6 multiple choice questions with 4 choices with 1 correct answer each
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An algebra test has 6 multiple choice questions with 4 choices with 1 correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?
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Probability that you get exactly 3 questions correct is 0.1318
Probability of correct answer = 1/(number of options) = 1/4 = 0.25
Number of questions (n) = 6
Using binomial formula ?P(X=r)= nCr?∗pr∗(1−p)n−r?
setting x = 3
we get
?P(X=3)= 6C3?∗0.253∗(1−0.25)6−3 =20∗0.015625∗0.421875 =0.1318?
