Just making sure I have my head on straight when it comes to the whole probability thing.
One card is drawn from a deck of 52. What is the probability that it is:
(a): A diamond?
(b):A King?
(c):An Ace or King?
Working:
(a):There are
or
ways of picking a card, and there are 13 diamond cards so there are
or
ways of picking a diamond. So there the probability of drawing a diamond card is
.
(b):There are
or
ways of picking a card, and there are 4 Kings so there are
or
ways to draw a king. So the probability of drawing a King is
.
(c):There are
or
ways of picking a card, there are 4 Aces and 4 Kings so there are 8 cards to choose from so, there are
or \frac{8!}{1!7!}=8 ways to draw either of the cards.
Therefore, the probability of drawing either an Ace or King is
Am I doing it right?