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10 out of 36 or approx 27.78 % (see below for explanation)

If you roll two dice the probability of rolling two on the first OR the second (but not both) is the probability of rolling a two (at least one time) on two throws minus probability of rolling two on both.

Probability of a two coming up at least once is 11 out of 36 (11/36)

You cannot just add 1/6 + 1/6 = 1/3

If that were true then you could throw it six times and get a probability of [1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1] meaning it's guaranteed to happen.

So to get the 11/36, you can create a chart:

11 21 31 41 51 61

12 22 32 42 52 62

13 23 33 43 53 63

14 24 34 44 54 64

15 25 35 45 55 65

16 26 36 46 56 66

And see that it happens 11 out of the possible 36 times, or use a formula.

1 - (probability it won't happen on one try)^(number of tries)

probability it won't happen on one try: 1 - 1/6 = 5/6

So (5/6)^2 = 25/36. Then 1 - 25/36 = 11/36.

Now the chance you get a two on both throws is 1/36, so subtract 11/36 - 1/36 = 10/36. (this can be seen on the chart as 10 positions where there are only one occurrence of two)

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Q: What is the probability of rolling a 2 on the first die or the second die?
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Continue Learning about Statistics

If you roll two die what is the probability that one die will roll a one and the second die will roll a two?

Assuming you are talking about fair, six-sided dice, then the probability of rolling a 1 on the first roll in 1/6, and the probability of rolling a 2 on the second roll is 1/6. Putting these together, the probability of rolling 1 on the first die and 2 on the second die is 1/36. If you do not care about the order, then you could roll 1,2 or 2,1; in this case the probability would be 2/36, or 1/18.


What is the probability of throwing a sum of 15 on three rolls of a fair die if the first roll was a 4?

Rolling a sum of 15 on three rolls of a die, when the first roll is a 4, is the same as rolling a sum of 11 on the second and third roll. The probability of rolling 11 on two dice is 3 in 36, or 1 in 12.


What is the probability when you roll two dice that you roll an odd number on the first die and a 1 on the second die?

The probability when you roll two dice that you roll an odd number on the first die and a 1 on the second die is 1 in 12. The two die are sequentially unrelated, so you can consider them separately. The probability of rolling an odd number is 3 in 6, or 1 in 2. The probability of rolling a 1 is 1 in 6. Multiply the two probabilities together and you get 3 in 36, or 1 in 12.


What is the probability of rolling a die twice and getting a 2 on the first roll and a 3 or less on the second roll?

2/12 or 1/6


What is the probability of not rolling a 6 on a die?

The probability of not rolling a 6 is 5/6.

Related questions

What is the probability of rolling a 2 on the first dice and an odd number on the second dice?

None, because you cannot have the first or second dice: it is the first die or second die. The probability is 1/6 * 1/2 = 1/12


If you roll two die what is the probability that one die will roll a one and the second die will roll a two?

Assuming you are talking about fair, six-sided dice, then the probability of rolling a 1 on the first roll in 1/6, and the probability of rolling a 2 on the second roll is 1/6. Putting these together, the probability of rolling 1 on the first die and 2 on the second die is 1/36. If you do not care about the order, then you could roll 1,2 or 2,1; in this case the probability would be 2/36, or 1/18.


What is the probability of two dice rolling a 5 on the first die and a 2 on the second die rounded to the nearest whole percent?

The probability is 1 out of 36, or about 3%, I think.


In rolling a die what is the probability of obtaining a 5 on the first roll and a 6 on the second roll?

1/6 on the first roll, and 1/6 of rolling a six on the second roll. Overall, the chances of you rolling a 5 on the first and a six on the second is 1/3.


What is the probability of throwing just one one with two dice?

The probability of throwing just one one with two dice can be calculated by considering the different ways it can occur. There are two ways to get one one: rolling a one on the first die and any number on the second die, or rolling any number on the first die and a one on the second die. There are a total of 36 possible outcomes when rolling two dice, so the probability is 2/36, which simplifies to 1/18.


What is the probability of throwing a sum of 15 on three rolls of a fair die if the first roll was a 4?

Rolling a sum of 15 on three rolls of a die, when the first roll is a 4, is the same as rolling a sum of 11 on the second and third roll. The probability of rolling 11 on two dice is 3 in 36, or 1 in 12.


What is the probability when you roll two dice that you roll an odd number on the first die and a 1 on the second die?

The probability when you roll two dice that you roll an odd number on the first die and a 1 on the second die is 1 in 12. The two die are sequentially unrelated, so you can consider them separately. The probability of rolling an odd number is 3 in 6, or 1 in 2. The probability of rolling a 1 is 1 in 6. Multiply the two probabilities together and you get 3 in 36, or 1 in 12.


What is the probability of not rolling factors of 3 on the first die?

Find aobability


What is the probability of rolling a 3 and 6 on a six sided dice?

The probability of rolling a 3 is 1/6. The probability of rolling a 6 is 1/6. There are two ways to roll a 3 and 6: roll 3 on the first die and 6 on the second or roll 6 on the first and 3 on the second. The probability of the first is 1/6 x 1/6 = 1/36. Likewise the probability of the second is 1/6 x 1/6 = 1/36. Combined you get 1/36 + 1/36 = 2/36 = 1/18


What is the probability of rolling an even number on a die and rolling an odd number on a second roll of the same die?

0.25 ( P = 0.5 each time)


What is the probability of rolling a die twice and getting a 2 on the first roll and a 3 or less on the second roll?

2/12 or 1/6


What is the probability of not rolling a 6 on a die?

The probability of not rolling a 6 is 5/6.