There are 36 permutations of two standard 6 sided dice. Of those, 15 are prime, namely 2, 3, 3, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, and 11. The probability of rolling a Prime number, then, is 15 in 36, or 5 in 12, or about 0.4167. It does not matter how many times you roll the dice.
It is 0.722... recurring.
The answer depends on how many times it is rolled.
15
You roll it many times. The probability that it lands on a six is the number of times that it lands on a six divided by the number of times the die has been rolled.
-78
It is 0.722... recurring.
The answer depends on how many times it is rolled.
15
You roll it many times. The probability that it lands on a six is the number of times that it lands on a six divided by the number of times the die has been rolled.
The probability of getting an even number on at least one of the 3 rolls is 7/8.
When a number cube is rolled twice, there are 36 possible outcomes. (1,1),(1,2),....(6,6). (3,3) occurs only once. Therefore, the probability of rolling a 3 both times is 1/36.
It is approx 0.99989, that is, a near certainty.
-78
If you rolled a die 120 times, the probability of getting a 6 is one in six. It does not matter how many times you roll the die - the probability is still one in six - except that the long term mean will approach the theoretical value of 0.166... as the number of trials increases.
The first roll doesn't matter for probability, it just sets the number to be rolled by the other two. So: P(rolling the same number three times) = P(rolling a particular number)2 = (1/6)2 = 1/36
The probability of a one being rolled in a fair die is 1 in 6, or 0.1666... . The probability of a one not being rolled is 5 in 6, or 0.8333... . The probability, then, of exactly one one being rolled in nine rolls is 1 in 6 times 5 in 6 to the 8th power, or about 0.0388.
The probability of rolling a six and then a prime on a die is (1 in 6) times (3 in 6), which is (3 in 12), which is (1 in 4), or 0.25