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The problem can be solved without much mathematics. If the first die rolls a 1, then the possible outcomes of the pair of dice, is 2 to 7. Obviously, outcomes 8 to 12 are impossible. Now, if the first die rolls a 6, then the possible outcomes are 7 to 12. Therefore, no matter what the first die is rolled, a sum of 7 is always possible, and must therefore be the most likely result. You can also intuitively calculate what the probability of getting a 7, because the first die will dictate what number must appear on the second die. If the first die rolls a 1, there is 1/6 chance that 6 will appear on the next die. So, the probability is 1/6 of getting a 7. Now, if you enumerate all 36 combinations, you will find that 6 of them result in a sum of 7. It may be helpful to make a table, with 1-6 as the row values, 1- 6 as the column values, and the sum in each cell. Similarly, you can calculate the probabilities of all sums from 2 to 12, as follows: 1/36, 2/36, 3/36, 4/36, 5/36, 6/36, 5/36, 4/36, 3/36, 2/36, 1/36. I can reduce these fractions, but I thought the series is more understandable if I did not.

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Q: When rolling a pair of dice which sum is more likely to occur?
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What is the probability of rolling a sum of 11 with 2 dice?

The probability of rolling a sum of 11 with 2 dice is: P(11) = 1/18.For explanation see answer to question: "What is the probability of rolling 7 or 11 with 2 dice?".Read more: What_is_the_probability_of_rolling_7_or_11_with_2_dice


Using 2 dice what is the most likely number to roll?

AnswerThe most likely number is seven.This can be 1+6, 2+5, 3+4, 4+3, 5+2, 6+1.Remember that dice have no memory - if you have rolled 7 three times in a row the odds of rolling another 7 does not change.this is all wrong don't listen that


What is the probability of rolling a sum greater than 3?

90.47619% Close but no cigar. I presume u r talking about rolling a pair of dice. There are 6 possible outcomes 4 each die, all equally likely, for a total of 36 equally likely possible outcomes. There is only 1 with a sum of 2, and 2 with a sum of 3, for a total of 3 outcomes with a sum of 3 or less. That's 3 out of 36, or 1/12. The other 11/12 represent a sum of more than 3, and that's 91.6666666...%


Does dice sink or float in water?

They shouldn't, if manufactured correctly. Air bubbles in a mold can cause a die to float. If this is the case, it should turn over and favor one side based on where the air bubble is located. You can further test this by rolling the die ( at least a 100 times) and see if that number shows up far more than it should. (Chance is always a factor, but if you get a 1 96 times out of a 100, it is more likely the die and not chance)


Using 5 dice how many different combinations can you roll?

If the order of the roll matters (i.e. you start with die #1, roll it and record it's number, then do die #2, and so on), then the answer would be 65. If the order of the roll does not matter (i.e. rolling 1, 2, 3, 4, 5 is considered the same as rolling 5, 4, 3, 2, 1), then the answer is 434. This is equal to: (d + (f - 1))! / (d! * (f - 1)!) Where 'd' is the number of dice used and 'f' is number of faces on each die. There may be a more formal definition as I just worked out that one myself.

Related questions

Which is more likely to occur when rolling a pair of dice a 6 or a 10?

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The probability is 1/6.


What is the probability of rolling a sum of 11 with 2 dice?

The probability of rolling a sum of 11 with 2 dice is: P(11) = 1/18.For explanation see answer to question: "What is the probability of rolling 7 or 11 with 2 dice?".Read more: What_is_the_probability_of_rolling_7_or_11_with_2_dice


When rolling two dice what is the probability of rolling more than nine?

There are 36 different combinations when rolling two dice, of these, there is a 10/36 = 5/18 (27.78%) chance of rolling combined total of 9 or more, or a 6/36 = 1/6 (16.67%) chance of rolling a combined total of 10 or more


What is the probability of getting more than 2 when rolling a dice?

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When rolling two dice which outcome is more likely a sum of 4 or a sum of 6?

The are more ways to roll a 6 (five ways) than to roll a 4 (three ways).


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.


What is the probability of rolling an odd number less than 11?

The answer depends on how many dice are rolled. With 12 or more dice, the answer is 0.The answer depends on how many dice are rolled. With 12 or more dice, the answer is 0.The answer depends on how many dice are rolled. With 12 or more dice, the answer is 0.The answer depends on how many dice are rolled. With 12 or more dice, the answer is 0.


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The sum of 6 is five times more likely, because there are five ways to roll a 6 but only one way to make a 2.


What is the probability of rolling a sum of 1 explain?

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