Probability Question 414
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} $
Correct Answer: DShow Answer
Answer:
Solution:
Total ways = 2! $ ^{6}C_2=30 $ Favourable cases $ =30-6=24 $ \ Required probability $ =\frac{24}{30}=\frac{4}{5} $ .