A card is randomly drawn from a standard deck of playing cards.   Find the following probabilities:
x = the card is a diamond
13 diamonds out of 52 cards.  That's a probability of
13 out of 52 or  which reduces to
 which reduces to  
 
y = the card is red
26 red cards out of 52 cards.  That's a probability of
26 out of 52 or  which reduces to
 which reduces to  
 
z = the card is {5,6,7}
There are 4 5's, 4 6's and 4 7's.  That's 12 cards out of
52 cards.  That's a probability of 12 out of 52 or  which reduces to
 
which reduces to  Edwin
 
Edwin