Answer:
[tex]P = \frac{1}{6}[/tex]
Step-by-step explanation:
For each die there are S = 6 possible results. Therefore the amount of possible results when throwing 2 dice is:
[tex]S = 6 * 6 = 36[/tex] possible results.
Now, the possible ways to get a double are 6:
[tex]\{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)\}[/tex]
By definition the probability of an event is:
[tex]P = \frac{Number\ of\ favorable\ results}{Number\ of\ possible\ results}[/tex]
Number of favorable results = 6
Number of possible results = 36
Then:
[tex]P = \frac{6}{36}[/tex]
Simplifying we get: [tex]P = \frac{1}{6}[/tex]
