Probability Question 426
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
 Correct Answer: BShow Answer
  Answer:
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} $ . 
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