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Coins and Dice Probability

  1. Nov 30, 2009 #1
    1. The problem statement, all variables and given/known data
    You have a fair coin. Your friend has a fair die you flip your coin 10 times. Your friend rolls his die 15 times. What is the probability that you get "heads" exactly the same number of times your friend gets "3" or "5". Leave your answer in the form of a summation. No need to simplify! Assume independence here.


    2. Relevant equations
    kCn (P)^n (1-P)^k-n


    3. The attempt at a solution
    10Cn (1/2)^n (1/2)^10-n (coin)
    15Cn (1/3)^n (2/3)^15-n (dice)

    Sum (n = 1 to 10) of 10Cn (1/2)^n (1/2)^10-n * 15Cn (1/3)^n (2/3)^15-n
     
  2. jcsd
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