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Q: What is the formula to for the odds of rolling 3 six-sided dice and getting at least one 6?

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The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.

When rolling one die, the probability of getting a 4 is 1 in 6, or 0.1667. If two dice are rolled, you get two unrelated chances of rolling at least one 4, so the probability is 2 in 6, or 0.3333.

The probability of rolling snake eyes on any one throw is 1 in 36. The probability of NOT rolling a snake eyes is 35 in 36. The only outcome here which we do not desire is that in which a non-snake eye roll occurs four times in a row, therefore, we take (35/36)^4 to find the probability of NEVER getting a snake eyes, and then subtract that answer from 1 to get the chances for any outcome WITH at least one pair of snake eyes. The chances are 10.66% of getting at least one snake eyes in four rolls.

The probability of rolling at least one 2 in fifty rolls of a standard die is 1 - (5/6) 50, or about 0.99989012. This calculation starts by looking at the probability of not rolling a 2, which is 5/6. To repeat that 50 times in a row, you simply raise that to the 50th power, getting 0.000109885. Then you subtract the result from 1 to get the probability of not succeeding in not rolling a 2 in fifty tries. Expressed in normal "odds" notation, this is about (100000 - 11) in 100000, or about 99989 in 100000.

2. This would be as a result of rolling a 1 on each of them.

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The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.

The probability of getting a sum of 2 at least once is 0.8155

one fourth

There is a rolling duffel luggage that takes a lot to tip over.

When rolling one die, the probability of getting a 4 is 1 in 6, or 0.1667. If two dice are rolled, you get two unrelated chances of rolling at least one 4, so the probability is 2 in 6, or 0.3333.

The probability of rolling a 4 in a die is 1 in 6, or about 0.1667. The probability, then, of rolling a 4 in at least one of two dice rolls is twice that, or 2 in 6, or 0.3333. The probability of rolling a sum of 4 in two dice is 3 in 36, or 1 in 18, or about 0.05556.

Rolling one die, it is 1/6. Rolling two dice, it is 2/6, which can be simplified to 1/3 or 33.33%.

a structural formula

The least error prone way of doing this is to draw a 6x6 square of all the possiblities when rolling a pair of dice, where one is red and one blue, and work out the proportion of the combinations that sum to 7.

The outcome is that in at least one of the 50 rolls the die comes to rest with the number one (or one spot) uppermost.

1/6

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