To find the probability that the sum of two dice rolls is less than 9 or greater than 11, we first consider the possible outcomes. The total outcomes when rolling two dice are 36. The combinations that yield sums less than 9 are: 2, 3, 4, 5, 6, 7, and 8. For sums greater than 11, the only possible sums are 12. After calculating the favorable outcomes for both conditions, we can determine the probability by dividing the total favorable outcomes by 36.
It is 5 over 6.
The answer will depend on what is being tossed!
The probability is certain or 1. The max you can roll is 12 so it is certain the sum will be less than 13.
The probability is 35/36.
The probability is 26/36 = 13/18.
Two standard dice cannot have a sum greater than 12. The probability, then, of getting a sum greater than 15 is zero.
It is 5 over 6.
The answer depends on what the experiment consists of. Since that is not specified, there can be no sensible answer.
The probability is 1.
5/6
there is no end to numbers so the probability is very high
The answer will depend on what is being tossed!
To determine whether the sum of two fractions with a common denominator is greater than, less than, or equal to 1, you need to add the numerators of the fractions together and compare the result to the common denominator. If the sum of the numerators is greater than the denominator, the sum of the fractions will be greater than 1. If the sum of the numerators is less than the denominator, the sum of the fractions will be less than 1. If the sum of the numerators is equal to the denominator, the sum of the fractions will be equal to 1.
The probability is 26/36 or 13/18
The probability is certain or 1. The max you can roll is 12 so it is certain the sum will be less than 13.
There are 216 permutations of three dice. Of these, 206 have a sum that is less than 16, specifically, the permutations 466, 556, 565, 566, 646, 655, 656, 664, 665, and 666 have sums that are 16 or greater - all other permutations have sums that are less than 16. The probability, then, of rolling a sum less than 16 on three dice is 206 in 216, or about 0.9537.
The probability is 26/36 = 13/18.