Probability Mcqs

Q.  Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

a. 1/6
b. 5/8
c. 3/8
d. 5/6


ANSWER: See Answer
 
P(at least one graduate) = 1 – P(no graduates) =

1 – ⁶C₃/¹⁰C₃ = 1 – (6 * 5 * 4)/(10 * 9 * 8) = 5/6
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