Math Probabilities

posted by Alex

A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are pulled in order from this deck of 52 playing cards. What is the probability that the cards will be two 10’s?

  1. Reiny

    number of ways to choose 2 of the 4 tens
    = C(4,2) = 6

    (HS, HC, HD, SC, SD, CD)

    number of ways to choose 2 cards from the 52
    = C(52,2) = 1326

    prob 2 tens = 6/1326 = 1/221

    or

    prob of first card a ten = 4/52
    prob of 2dn card a ten = 3/51
    prob 2 tens = (4/52)(3/51) = 12/2652 = 1/221

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