How many ways are there to pick 2 different cards from a standard 52-card deck such that:
The fist card is a spade and the second card is not a Queen
The answer is (1*48) + (12*47)
I do not know how to get there again.
I have 13 spade cards in a 52-card deck
Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King
so I thought there are 13 possibilities for the first card
For the second card we cannt have Queens (4) and one card is already gone,
so that would be 52-4 - 1 = 47
I see the problem that maybe for the first card a spade Queen was used, but I do not know how to set the problem up with this information.
Thanks for any hint.