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jaredec18

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Sep 20th, 2019
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  1. 5 cards from 30 can be selected in 30C5 ways
  2. here every order is considered as distinct, hence total number of selections are 30C5*5!
  3.  
  4. i)
  5. two cards 5 and 28 to be included, this can be done in 1 way and remining 3 cards from 28 can be drawn in 28C3 ways
  6. and 5! are the arrangements
  7. Required probability = 28C3*5!/30C5*5! = 0.0230
  8.  
  9. ii)
  10. remaining 3 to be selected from 28 cards in 28C3 ways and can be arranged in 3! ways
  11.  
  12. Required probability = 28C3*3!/30C5*5! = 0.0011
  13.  
  14. iii)
  15. If we dont want to select 15, there are 29 cards available to select 5 cards
  16.  
  17. Required probability = 29C5/30C5 = 0.8333
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