I'm working on a probablity question that seems relatively easy, but for some reason has me totally stumped
Four cards are drawn from a deck at random without replacement from a standard deck of 52 cards. What is the probability that all are of different suits?
Thanks a bunch!
thanks, mr fantastic, for your quick response.
the second solution correlates to the format i've been learning in class and is very similar to what i was toying with on my homework. however, the issue i keep running across with both your solution and mine is that the probability ends up being over 1 (approx. 2.53) in both cases.
how is this possible?
I'm getting a different answer . . .
Four cards are drawn at random without replacement from a 52-card deck.
What is the probability that all are of different suits?
The first card can be any card: .
The second must be not match the first suit: .
The third must not match the first two suits: .
The fourth must be of the fourth suit: .