To determine the probability of rolling two six-sided dice and obtaining a result of double sixes (6 and 6), we need to understand the basics of probability and the outcomes of rolling dice.
When you roll two dice, each die has 6 faces, and thus there are a total of 6 x 6 = 36 possible outcomes.
Out of these 36 outcomes, only one outcome results in both dice showing a 6. So, the probability can be calculated as follows:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Here, the number of favorable outcomes is 1 (this is the outcome where both dice show 6), and the total number of possible outcomes is 36.
Therefore, the probability is:
P(rolling a 6 and a 6) = 1 / 36
In decimal form, this is approximately 0.0278, or about 2.78%. So, the next time you roll two dice, remember that the chances of getting a double six are quite slim!