Probability Question 106

Question: Two numbers are selected randomly from the set $ S={1,2,3,4,5,6} $ without replacement one by one. The probability that minimum of the two numbers is less than 4 is

[IIT Screening 2003]

Options:

A) $ \frac{1}{15} $

B) $ \frac{14}{15} $

C) $ \frac{1}{5} $

D) $ \frac{4}{5} $

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Answer:

Correct Answer: D

Solution:

Total ways = 2! $ ^{6}C_2=30 $

Favourable cases $ =30-6=24 $

Required probability $ =\frac{24}{30}=\frac{4}{5} $ .