To find the probability, we first need to determine the total number of outcomes when rolling a green and a red die. Since each die has 6 sides, the total number of outcomes is 6 * 6 = 36.
Next, we need to determine the number of outcomes where the sum of the two dice is a number between 5 and 10 inclusive. We can do this by listing out all possible outcomes:
- (1, 4) - (4, 1)
- (1, 5) - (5, 1)
- (1, 6) - (6, 1)
- (2, 3) - (3, 2)
- (2, 4) - (4, 2)
- (2, 5) - (5, 2)
- (2, 6) - (6, 2)
- (3, 4) - (4, 3)
- (3, 5) - (5, 3)
- (3, 6) - (6, 3)
- (4, 5) - (5, 4)
- (4, 6) - (6, 4)
- (5, 6) - (6, 5)
- (6, 6)
There are 14 possible outcomes where the sum is between 5 and 10.
Therefore, the probability is 14/36 = 7/18.
if a pair of dice one green and one red is rolled what is the probability that the sum of the two dice is a number between 5 and 10 inclusive
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