Asked by Beatriz

Given a standard deck of 52 cards, what is the probability that two cards drawn at random will have the same rank? Note that first card drawn is not added back into the deck when the second card is drawn.
Answered by Damon
4/52 * 3/51
Answered by Damon
what I gave you was for a specific rank, like two queens
multiply by 13 because there are 13 ranks
Answered by jolly rancher
the first card can be any

probability = 1

the second card can be only the same rank

probability = 3/51

1 * 3/51 = 3/51
Answered by Damon
Go with jolly rancher !
Answered by jolly rancher
they're the same

just two ways to think about it!
Answered by Damon
Yours is much better. I got off on that both queens tack :)
Answered by Reiny
My reasoning is like this:

Number of pair for each rank = C(4,2) = 6
so all possible pairs of the same rank
= 13(6) = 78
possible pairs = C(52,2) = 1326
prob(pair of the same rank) = 78/1326 = 1/17
There are no AI answers yet. The ability to request AI answers is coming soon!