Asked 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?
Answers
Answered by
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
= 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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