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What is the probability of rolling two dice and the sum is greater than 8?
Wiki User
∙ 13y ago
The probability of rolling a number greater than 8 on one roll of a pair of dice is 0.277777.... Let's see how we get that probability, and, though it may be a little long winded, it's important to understand what's going on.
With one roll of a pair of dice, we have 36 possible outcomes. They are 1-1, 1-2, 1-3,..., 6-4, 6-5, 6-6. To roll a number greater than 8, we have to roll a 9, 10, 11, or 12. There are 10 ways to roll one of those numbers. We could see 3-6, 4-5, 5-4, or 6-3 (to make 9), or 4-6, 5-5, or 6-4 (to make 10), or 5-6 or 6-5 (to make 11), or 6-6 to make 12. That's a total of 10 probable outcomes yielding a number greater than 8. As there are 36 possible outcomes, and 10 yield our required number, the odds of rolling a number greater than 8 are 10 in 36, or 5 in 18 (which is 10 divided by 36 reduced). To discover the probability of a number greater than 8, we need to divide the 10 by 36, and this gives us 0.277777.... as that probability.
Note that the question asked for the probability of the given event, and not the odds. Probability is different from "the odds" of something happening when we consider the mathematics, and the two must be distunguished. We note that the odds "appear" when we calculte probability, but the two are different. There is one more idea.
The probability of something happening is a number that is the ratio of the number of times that a given outcome will appear divided by the number of all possible outcomes. With dice, the number of all the combinations that can come up is 36. That means the probability of rolling any number is the number of times that the number can come up divided by all the possble combinations, or that 36.
All probabilities range between zero (0) and one (1), inclusive. If something cannot happen, the probability of it happening is zero. Like rolling a 13 with one roll of the dice. If the probability of something happening, it will happen. Like rolling an odd or an even number with one roll of the dice. All the possible combinations are odd or even, so the probability of rolling an odd or an even number is one. You will get one or the other.
Wiki User
∙ 13y ago
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A die is tossed. Find the odds against rolling a number greater than 1.?
The probability of rolling a number greater than 1 is 5/6.
The probability of rolling a number greater than 5 on one roll of a die?
Only 6 is greater than 5 on a standard cubic die. The chance of rolling a 6 is one in six.
What is the probability of getting a number greater than 0 when rolling a single die once?
The probability is 100% since a single die has numbers 1-6, all of which are greater than zero (assuming that the die is a fair standard die and the results of the roll may be analyzed regardless of where the die ended up).
In rolling two fair dice what is the probability of obtaining a sum greater than 10 or a sum divisible by 6?
In rolling two fair dice, the probability of obtaining a sum greater than 10 is 3 in 36 or 1 in 12, and the probability of obtaining a sum divisible by 6 is 6 in 36 or 1 in 6. Since the two probabilities come from the same population of 36 possible outcomes, the combined probability is the inclusive or of the two result sets, 8 in 36 or 2 in 9. The results that match the sum>10 target are 5-6, 6-5, and 6-6. The results that match the divisibility by 6 target are 1-5, 2-4, 3-3, 4-2, 5-1, and 6-6. The results that match the combined target are 1-5, 2-4, 3-3, 4-2, 5-1, 5-6, 6-5, and 6-6.
A pair of dice is rolled find the probability One die shows a 6 and the other is a number less than 5?
There are 62 or 36 outcomes for rolling 2 dice. The outcomes that meet the criteria specified are: 1,6 2,6 3,6 4,6 6,4 6,3 6,2 6,1. So the probability of one die shows a 6 and the other is a number less than 5 is 8/36 or 2/9.
When rolling two dice what is the probability the sum is greater than 1?
The probability is 1.
What is the probability of rolling a number greater than 4 On a dice?
The probability for dice depends on how many. For a die, it is 1/3.
When rolling a fair dice what the probability you will get greater than a 4?
2 over 6
What is the probability of rolling two dice and the sum is greater than 5?
The probability is 26/36 or 13/18
When rolling 2 dice what is the probability of rolling a number greater than 2?
Prob(Rolling a number greater than 2) = 1 - Prob(Not rolling a number greater than 2 on either die) = 1 - Prob(Rolling a number less than or equal to 2 on both dice) = 1 - Prob(Rolling a number less than or equal to 2 on a die)2 = 1 - (1/3)2 = 8/9
What is the probability of rolling a pair of dice and obtaining a total score greater than 9?
It is 1/12.
What is the probability of rolling a number that is greater than 2 on a dice?
the probabilty is 4 out of 6 our 2/3
What is the probability of rolling a number greater than 18?
The answer depends on what you are rolling: three or more ordinary dice, or fewer dice with non-standard numbers on them, or a die with some other shape.
When rolling a dice what is the probability of throwing a number greater than 3?
1/2, 0.5, 50%, or half a chance.
What is the probability of rolling a number greater than or equal to 8 with two dice given that at least one of the dice must show a 6?
5/36
What is the probability of rolling a number greater than or equal to eight with two dice given that a least one of the dice must show a 6?
It is 0.8181... recurring.
What is the probability of rolling doubles greater than three?
In the case of dice, greater than three, means 4,5 or 6. So, obviously, three cases out of 36.
