The formula to calculate the probability is:
[tex]P=\frac{favorable\text{ cases}}{\text{total number of cases}}[/tex]
In a deck of 52 cards, 52 is the total number of cases.
And since there are 13 diamond cards in a deck, 13 is the number of favorable cases.
Thus the probability of getting a diamond card is:
[tex]\frac{13}{52}[/tex]
To complete the problem and complete the probability distribution, find the probability of not getting a diamond card:
-Because there are 13 diamond cards, 52-13 is the number of cards that are not diamond cards:
[tex]52-13=39[/tex]
using again the probability formula, the probability of not getting a diamond card is:
[tex]\frac{39}{52}[/tex]
Answer:
[tex]\frac{13}{52},\frac{39}{52}[/tex]
