To find the probability of selecting an ace or a 9 from a standard 52-card deck, we need to first determine the total number of successful outcomes and the total possible outcomes.
A standard deck contains 4 aces and 4 nines. Therefore, the total number of successful outcomes (that is, drawing either an ace or a 9) is:
- Number of aces = 4
- Number of nines = 4
So, the total number of favorable outcomes is:
4 (aces) + 4 (nines) = 8 favorable outcomes.
The total number of possible outcomes when selecting one card from the deck is 52.
Thus, the probability P of drawing an ace or a 9 is given by the ratio of favorable outcomes to possible outcomes:
P = Number of favorable outcomes / Total outcomes
P = 8 / 52
We can simplify this fraction to get:
P = 2 / 13
Therefore, the probability of selecting an ace or a 9 from a 52-card deck is 2/13.