PDA

View Full Version : Probability (Deck of Cards)


donazri
Sep 1, 2010, 03:35 PM
Lets say you are dealt two cards from a standard deck of playing cards.


A) What is the probability of being dealt a pair of aces?
B) There are 13 possible pairs possible (Aces through Kings). What is the probability of being dealt a pair of any type (That is, the probability of a pair of Aces OR 2s OR 3s, etc…)?
C) What is the probability of being dealt two cards of the same suit?
D) What is the probability of being dealt any two cards greater than a 10? This includes Jacks, Queens, Kings, and Aces.

Unknown008
Sep 1, 2010, 09:40 PM
What have you tried?

A) P(2 Aces) = P(First card an Ace) x P(Second card an Ace)

Remember that P(something) = (number of what you are looking for)/(total)

For example, if I wanted first a King of Spades then a Queen of Spades.

How many king of spades are there? 1
How many queen of spades are there? 1
How many cards are there? 52

So, P(King then Queen) = P(1st King) x P(2nd Queen) = 1/52 x 1/51 = 1/2652

Note that after taking a card without replacement, the total number of cards decrease!

Now can you try your question and post what you get? :)