GATE CSE
First time here? Checkout the FAQ!
x
0 votes
46 views
An ordinary deck of 52 playing cards is randomly decoded into 4 piles of 13 cards each. The probability that each pile has exactly 1 ace is
asked in Mathematical Logic by Active (1.4k points)   | 46 views

1 Answer

+1 vote

Just imagine that 4 aces are in different piles and then follow this approach:

answer

= $\frac{\binom{48}{12}*\binom{36}{12}*\binom{24}{12}*\binom{12}{12}*4!}{\binom{52}{13}*\binom{39}{13}*\binom{26}{13}*\binom{13}{13}}$

$\approx 0.105$

answered by Veteran (11.5k points)  
Top Users Jan 2017
  1. Debashish Deka

    9716 Points

  2. sudsho

    5560 Points

  3. Bikram

    5290 Points

  4. Habibkhan

    4920 Points

  5. Vijay Thakur

    4498 Points

  6. Arjun

    4418 Points

  7. saurabh rai

    4236 Points

  8. Sushant Gokhale

    4230 Points

  9. Kapil

    3848 Points

  10. santhoshdevulapally

    3808 Points

Monthly Topper: Rs. 500 gift card

19,449 questions
24,228 answers
53,958 comments
20,373 users