How Many Rolls of Dice to Get Sum 12?

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In summary, the conversation discusses the correct usage of the plural form of "dice". The correct term is "two dice", not "two dices". This is because "dice" is already plural and does not need an "s" at the end. The conversation also touches on the distribution of two dice and the frequency needed to get a certain probability.
  • #1
Mehrudin
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How many times do we need to throw 2 dices to get more than 1/2 probability that at least once the sum of the two dices will be 12.
 
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  • #2
Mehrudin said:
How many times do we need to throw 2 dices to get more than 1/2 probability that at least once the sum of the two dices will be 12.

Well, what do you know about the distribution of "two dice"?
 
  • #3
And my standard complaint: "dices" is a verb. "dice" is itself already plural- it is the plural of the word "die". You mean to say "two dice".
 
  • #4
Country Boy said:
And my standard complaint: "dices" is a verb. "dice" is itself already plural- it is the plural of the word "die". You mean to say "two dice".

Same as "two shoes". Common usage.
 
  • #5
No, it is not the same. "Two shoes", yes. "Shoes" is the plural of "shoe" But not "two dices" because "dice" is already plural. It should be "two dice".
 
  • #6
Country Boy said:
No, it is not the same. "Two shoes", yes. "Shoes" is the plural of "shoe" But not "two dices" because "dice" is already plural. It should be "two dice".

Right. Dice is plural. Are you sure it's a grammar error from the OP and not just falling asleep on the keyboard?
 

1. How many rolls of dice are needed to get a sum of 12?

The answer to this question depends on the number of dice being used. With two standard six-sided dice, the probability of rolling a sum of 12 is 1/36. This means, on average, it would take 36 rolls to get a sum of 12. However, this is just an average and it is possible to get a sum of 12 on the first or second roll, or to never get a sum of 12 after hundreds of rolls.

2. What is the probability of rolling a sum of 12 with two dice?

The probability of rolling a sum of 12 with two standard six-sided dice is 1/36, or approximately 2.78%. This is because there are 36 possible outcomes when rolling two dice, and only one of those outcomes results in a sum of 12 (rolling two sixes).

3. Can more than two dice be used to get a sum of 12?

Yes, it is possible to use more than two dice to get a sum of 12. However, the probability of rolling a sum of 12 will vary depending on the number and type of dice being used. For example, if three six-sided dice are rolled, the probability of getting a sum of 12 would increase to 1/216.

4. Is it possible to get a sum of 12 without rolling two sixes?

Yes, it is possible to get a sum of 12 without rolling two sixes. For example, if three dice are rolled, the sum of 12 can be achieved by rolling a five, four, and three. However, the probability of getting a sum of 12 without rolling two sixes decreases as more dice are used.

5. How does the probability of rolling a sum of 12 change with different types of dice?

The probability of rolling a sum of 12 will vary depending on the type of dice being used. For example, using two ten-sided dice will result in a higher probability of rolling a sum of 12 compared to using two six-sided dice. This is because the range of numbers on ten-sided dice (1-10) is larger than on six-sided dice (1-6), increasing the chances of getting a sum of 12.

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