PDA

View Full Version : Probability with deck of cards


nromero
Mar 9, 2009, 09:55 AM
What is the probability of drawing 3 cards that are all queens from a deck of cards?

mudweiser
Mar 9, 2009, 10:00 AM
3 over 54 but then when you simplify it it, it becomes 1 over 18

MRS.S

ebaines
Mar 9, 2009, 01:47 PM
The probability of drawing one card that's a queen is 4/52. That's because the deck sarts with 4 queens out of 52 cards. Now, if you are successful with that first draw, you are left with 3 queens in a deck of 51 cards, so the probability of the next card being a queen is:

3/51

Hence the probability of drawing two queens in a row is

4/52 * 3/51

Now, can you continue this logic to determine the probability of drawing a third queen in a row?