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There are 25 cards which are numbered from 1 to 25. If 5 cards are drawn randomly from that pack of cards, then find the probability that out of those 5 cards which are drawn, exactly 3 cards are numbered with multiple of 5.
  • a)
    190/5313
  • b)
    190/4313
  • c)
    290/5313
  • d)
    90/4313
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
There are 25 cards which are numbered from 1 to 25. If 5 cards are dr...
Number that are multiple of 5 = {5, 10, 15, 20, 25}
Total cases = 25C5 = 53130
Favourable cases = 3 cards are multiple of 5 and 2 cards are not multiple of 5 = 5C3 * 20C2 = 10 × 190 = 1900
Required probability = 1900/53130 = 190/5313
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