Question
If two 12-sided dice are rolled what is the probability that both numbers will be even?
Answers
GPT 3.5
To find the probability that both numbers rolled on two 12-sided dice are even, let's consider the total number of possible outcomes and the number of desired outcomes.
Total number of possible outcomes:
When a 12-sided die is rolled, there are 12 equally likely outcomes (numbers 1 to 12).
Total number of desired outcomes:
Out of the 12 possible outcomes, the even numbers are 2, 4, 6, 8, 10, and 12. So, we have 6 desired outcomes.
Therefore, the probability that both numbers will be even when two 12-sided dice are rolled is:
P(both numbers are even) = number of desired outcomes / total number of possible outcomes
= 6 / 12
= 0.5
The probability is 0.5 or 50%.
Total number of possible outcomes:
When a 12-sided die is rolled, there are 12 equally likely outcomes (numbers 1 to 12).
Total number of desired outcomes:
Out of the 12 possible outcomes, the even numbers are 2, 4, 6, 8, 10, and 12. So, we have 6 desired outcomes.
Therefore, the probability that both numbers will be even when two 12-sided dice are rolled is:
P(both numbers are even) = number of desired outcomes / total number of possible outcomes
= 6 / 12
= 0.5
The probability is 0.5 or 50%.