What is the probability that, while rolling two six-sided dice, you roll a sum of 3?Group of answer choices16.7%13.9%5.56%8.33%11.1%
Question
What is the probability that, while rolling two six-sided dice, you roll a sum of 3?
Group of answer choices
- 16.7%
- 13.9%
- 5.56%
- 8.33%
- 11.1%
Solution
To find the probability of rolling a sum of 3 with two six-sided dice, we first need to determine the total number of possible outcomes. Since each die has 6 faces, the total number of outcomes when rolling two dice is 6*6 = 36.
Next, we need to find out how many of these outcomes result in a sum of 3. The combinations that give a sum of 3 are (1,2) and (2,1). So there are 2 favorable outcomes.
The probability is then calculated by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of rolling a sum of 3 is 2/36 = 0.0556 or 5.56%.
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