Probability Question 128

Question: Twelve tickets are numbered 1 to 12. One ticket is drawn at random, then the probability of the number to be divisible by 2 or 3, is

Options:

A) $ \frac{2}{3} $

B) $ \frac{7}{12} $

C) $ \frac{5}{6} $

D) $ \frac{3}{4} $

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Answer:

Correct Answer: A

Solution:

$ P(2\cup 3)=P(2)+P(3)-P(2\cap 3) $

$ =\frac{6}{12}+\frac{4}{12}-\frac{2}{12}=\frac{2}{3}. $