Two dice are rolled simultaneously, what is the probability of getting a total of 10?
Question
Two dice are rolled simultaneously, what is the probability of getting a total of 10?
Solution
To solve this problem, we need to understand that the total number of outcomes when two dice are rolled is 36 (6 outcomes from the first die multiplied by 6 outcomes from the second die).
Next, we need to find out in how many ways we can get a total of 10. The combinations are as follows: (4,6), (6,4), (5,5). So, there are 3 favorable outcomes.
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes.
So, the probability of getting a total of 10 when two dice are rolled is 3/36 = 1/12.
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