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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Two distinct numbers a and b are selected at random from 1,2,3, ... ,50. The probability that their product ab is divisible by 3, is:
Solution
Required probability
$= 1 - (\text{product not divisible by } 3)$
Multiples of $3 = 16$
Not multiple of $3 = 34$
$= 1 - \frac{{}^{34}C_2}{{}^{50}C_2} = \frac{664}{1225}$
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