Math Probabilities
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?
asked by
Alex

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 = 1/221posted by Reiny
Respond to this Question
Similar Questions

Math (Probability)
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, without replacement from this deck 
Math
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). Four cards are pulled in order from this deck of 52 playing 
Math
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). Three cards are pulled in order from this deck of 52 playing 
Math
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 drawn from the deck and replaced each time back 
Math
Question: You are randomly dealt 5 cards from a standard deck of 52 playing cards. What is the probability that you have at least 4 cards of the same suit? My solution: 4 [ P(4 of the same suit) ]  because there are 4 different 
math
A standard deck of cards has 52 cards in it. The cards are divided into 4 suits or 13 cards each.If one draws two cards at random from the deck of cards what is the probability that they are of the same suit ? 
math
A standard deck of cards has 52 cards in it. The cards are divided into 4 suits or 13 cards each.If one draws two cards at random from the deck of cards what is the probability that they are of the same suit ? 
Math
A standard deck of cards is made up of four suits with 13 cards in each suit (total of 52 cards). If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs. 
Math
A standard deck of cards has four different suits:hearts ,diamonds ,spades, and clubs.Each suit has 13 cards, making a total of 52.Two cards are drawn without replacement. What is the probability of drawing first a heart, and then 
math
A standard deck of playing cards had 52 cards. These cards are divided into four 13 card suits: diamonds, hearts, clubs, and spades. Find the probability of drawing a heart or a club at random from a deck of shuffled cards.