What is the probability of rolling two six sided dice and obtaining two 4s?

Contents

What is the probability of rolling two 4s on two six sided dice?

Probabilities for the two dice

Total Number of combinations Probability
2 1 2.78%
3 2 5.56%
4 3 8.33%
5 4 11.11%

What is the probability of rolling two six sided dice at the same time and obtaining at least one 6?

If you use the above graphic and count the number of times is 6 appears when two dice are rolled, you will see the answer is eleven. Eleven times out of 36 or 30.5 %, slightly less than the 33.3% (2/6). When you roll two dice, you have a 30.5 % chance at least one 6 will appear.

What is the probability of rolling two six sided dice and obtaining matching numbers?

The second roll of the dice has to match the outcome of the first, so that has a probability of 1/6. The probability of both events occurring is 1 * 1/6. I do not understand this bit. I understand that the two die rolls are independent events and their probabilities can be multiplied, so the outcome should be 1/36.

What is the probability of rolling a 1 and then a 2 on a six sided dice?

Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on. But what happens if we add another die?

What is the probability of rolling at least one 1 with two dice?

Now, there are 36 possible pairs the two dice can make (6×6). So the probability of NOT rolling a 1 is 25/36. The opposite (the “complement”) of “NOT rolling a 1” is “rolling AT LEAST one 1”. Therefore, the probability of rolling at least one 1 is 1-25/36 = 36/36 – 25/36 = 11/36.

What is the probability of rolling two six sided dice and obtaining at least one 3?

So the probability of rolling a 2 and a 3 would be 1/36 + 1/36 = 2/36 or 1/18. There is only one way to roll two 6’s on a pair of dice: the first die must be a 6 and the second die must be a 6. The probability is 1/6 × 1/6 = 1/36. There are 3 ways in which to get at least one 6 in the roll of two dice.

What is the probability of rolling two even numbers?

P(E)=636=16. Probability of two different even numbers = Probability of both even * Probability of both different given they are both even. Probability of both even is 12×12=14.