Probability when rolling 6 true dice

Thread starter doublemint
Start date Oct 23, 2011
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Dice Probability Rolling

In summary, the probability of rolling a specific number on one die is 1/6 or approximately 16.67%, the probability of rolling a specific combination of numbers on two dice is 1/36 or approximately 2.78%, the probability of rolling a total of 7 on two dice is 6/36 or approximately 16.67%, the probability of rolling doubles on two dice is 1/6 or approximately 16.67%, and the probability of rolling at least one 6 when rolling 6 dice is 30517578125/362797056000 or approximately 8.42%. These probabilities are all based on the fact that each outcome has an equal chance of occurring.

Oct 23, 2011

doublemint

Hello,

So the question is: You have 6 true dice and you want to find the probability of rolling exactly two aces (im assumming ace means 1).
I tried using the binomial theroem:
P = (6!/(2!4!)) (1/6)^2 (5/6)^4 = 0.2009
But the answer is 0.040..So where did I go wrong?

Thanks
DoubleMint

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Oct 23, 2011

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Related to Probability when rolling 6 true dice

1. What is the probability of rolling a specific number on one die?

The probability of rolling a specific number on one die is 1/6 or approximately 16.67%. This is because there are six possible outcomes (numbers 1-6) and each outcome has an equal chance of occurring.

2. What is the probability of rolling a specific combination of numbers on two dice?

The probability of rolling a specific combination of numbers on two dice is 1/36 or approximately 2.78%. This is because there are 36 possible outcomes (6 numbers on the first die multiplied by 6 numbers on the second die) and each outcome has an equal chance of occurring.

3. What is the probability of rolling a total of 7 on two dice?

The probability of rolling a total of 7 on two dice is 6/36 or approximately 16.67%. This is because there are six ways to get a total of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 possible outcomes and each outcome has an equal chance of occurring.

4. What is the probability of rolling doubles on two dice?

The probability of rolling doubles on two dice is 1/6 or approximately 16.67%. This is because there are six possible outcomes (1+1, 2+2, 3+3, 4+4, 5+5, 6+6) out of 36 possible outcomes and each outcome has an equal chance of occurring.

5. What is the probability of rolling at least one 6 when rolling 6 dice?

The probability of rolling at least one 6 when rolling 6 dice is 30517578125/362797056000 or approximately 8.42%. This is because there are 362797056000 possible outcomes when rolling 6 dice and 30517578125 of those outcomes have at least one 6. Therefore, the probability is calculated by dividing 30517578125 by 362797056000.