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anyalong18
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Two fair dice are rolled. What is the probability of rolling a sum that exceeds 3?
is it 1/36skeeter said:
The probability of rolling a sum greater than 3 with two dice is 11/12 or approximately 0.917. This means that there is a 91.7% chance of rolling a sum greater than 3 when rolling two dice.
The probability of rolling a sum greater than 3 is calculated by finding the number of possible outcomes that result in a sum greater than 3 and dividing it by the total number of possible outcomes when rolling two dice. In this case, there are 36 possible outcomes when rolling two dice (6 possible outcomes for each die), and 33 of those outcomes result in a sum greater than 3 (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12). Therefore, the probability is 33/36 or 11/12.
Yes, the probability of rolling a sum greater than 3 can change depending on the number of dice being rolled. For example, if three dice are rolled, the probability of rolling a sum greater than 3 increases to 125/216 or approximately 0.579. This is because there are more possible outcomes that result in a sum greater than 3 when rolling three dice compared to two dice.
The probability of rolling a specific sum, such as 7, with two dice is 1/6 or approximately 0.167. This is because there are 6 possible outcomes that result in a sum of 7 when rolling two dice (1+6, 2+5, 3+4, 4+3, 5+2, and 6+1), and there are 36 total possible outcomes.
The probability of rolling a sum greater than 3 with two dice does not directly relate to the individual probabilities of each die. However, the individual probabilities of each die can be used to calculate the overall probability. For example, the probability of rolling a sum greater than 3 with two dice can be calculated by multiplying the probability of rolling a 1 on one die (1/6) with the probability of rolling a 2 on the other die (1/6). This results in a probability of 1/36, which is one of the 33 possible outcomes that result in a sum greater than 3 (1+2). Therefore, the individual probabilities can be used to calculate the overall probability, but they do not directly relate to it.