Probability Question 122

Question: From eighty cards numbered 1 to 80, two cards are selected randomly. The probability that both the cards have the numbers divisible by 4 is given by

[Pb. CET 2000]

Options:

A) $ \frac{21}{316} $

B) $ \frac{19}{316} $

C) $ \frac{1}{4} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Total number of ways $ ={{}^{80}}C_2 $ and favorable ways $ {{=}^{20}}C_2 $ \ Required probability $ P=\frac{^{20}{C_{_2}}}{^{80}C_2}=\frac{19}{316} $ .