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Q: If rolling three dice what is the probability of rolling three ones?

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The odds of rolling 4 ones in 5 dice are calculated by this sum. (1/6)^4 x 5/6 where 1/6 represents the 1, being rolled 4 times, and 5/6 represents the other dice being any number but 5. This equals 1/1555.2. That means 5 out of every 7776 rolls will end up with 4 ones. (or 1 out of 1555.2 rolls)

If you roll the die often enough, the probability of getting a 2 ones in a row is 1. In only 2 rolls, the answer is (1/6)*(1/6) = 1/36

Its not an exact thing like with circle radius, but basically add together all the numbers and make a fraction like if there are 3 yellow balls, 3 green ones and 5 blue ones in a bag, then you add 3+3+5 = 11, and then you figure out that the probability of picking a blue ball out of the bag is 5/11. Probability is the ratio of all outcomes that you define as being of interest divided by all possible outcomes. For example, the number of ways to get doubles on 2 6-sided dice is 6 (1,1 2,2, 3,3 4,4 5,5 6,6) but there are 36 different ways for the dice to turn up so the probability of getting doubles on a single roll is 6/36 = 1/6 Likewise there are 6 ways to roll a 7 (1,6 2,5 3,4 4,3 5,2 6,1) so the odds of rolling a seven on a single roll are 6/36 = 1/6 The math gets more involved as you start looking at situations where the odds of getting any one of the particular outcomes are not the same - for example, with loaded dice - or where you are looking at a sequence of events.

Calculating getting a five on a dice:There are 6 sides to a dice so there would be 12 in a pair of dice. So you would have a 1 in 6 chance of rolling a 5.Calculating getting a sum of five:There are a total of 18 combinations you can get when rolling two dices. 1+1, 1+3, 1+4, 1+5, 1+6, 2+2, 2+3, 2+4, 2+5, 2+6, 3+3, 3+5, 3+6, 4+4, 4+5, 5+5, 6+4, and 6+6 (I eliminated ones which were equal to others such as eliminating 6+2 because it is the same as 2+6). Out of the combination of numbers, only two are able to sum up to five (2+3 and 1+4). This equals about an 11.1% chance of rolling two which equal 5 when added together.

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Related questions

The probability of rolling 3 ones with 4 dice is:4C3 (1/6)3 (5/6) = 0.015432098... ≈ 1.54%

The probability of rolling 6 ones with 10 dice is: 10C6 (1/6)6 (5/6)4 = 2.170635034...x 10-3 ≈ 0.22%

If the number cubes are standard dice cubes, the odds of rolling 3 ones is 1 in 216.

1/361/6 x 1/6 = 1/36

(1/6)^3 since each event is independent and each has a probability of 1/6.

1/6+1/6+1/6-1/6 =.333

(5/6)^100, or approximately 0.0000012%

( 2 / 36 ) x ( 2 / 36 ) = 0.003086 (rounded)

The odds of rolling 5 ones is 1/6 *1/6 *1/6 *1/6 *1/6 = 1/7776

Probability of rolling a ' 1 ' with a single cube = 1 / 6Probability of rolling six 1s with 6 cubes =(1/6) x (1/6) x (1/6) x (1/6) x (1/6) x (1/6) = 1/46,656 = 0.000021433 (rounded) = 0.0021433%

There are 36 different ways to roll 2 6-sided dice. The ones that make 9 are: 3+6 , 4+5 , 5+4 , 6+3 4 out of 36 = 4/36 = 0,111111111 = 11,1 %

Assuming each die has faces numbered from 1 to 20, the probability of rolling two ones is 1/400 or 1:399 against.

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