Two different colored dice are rolled simultaneously. What is the probability of getting a sum of 11?
Question
Two different colored dice are rolled simultaneously. What is the probability of getting a sum of 11?
Solution
To solve this problem, we need to understand the total number of possible outcomes when two dice are rolled. Since each die has 6 faces, the total number of outcomes is 6*6 = 36.
Next, we need to find out in how many ways we can get a sum of 11. The pairs that give a sum of 11 are (5,6), (6,5). So, there are 2 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 sum of 11 when two dice are rolled is 2/36 = 1/18.
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