It is 4/36 or 1/9.
1 in 6 = rolling a 2 5 in 6 = not rolling a 2
If you roll a single die (cube), the probability of a 4 is 1/6 or 162/3%. If you roll a pair of dice (2 cubes), the probability of a 4 is 1/12 or 82/3%.
The probability of rolling a 3 is 1/6.
The probability of rolling a specific number on a fair six-sided dice is 1/6, as there are 6 equally likely outcomes. When rolling the dice 300 times, the probability of rolling that specific number on each roll remains 1/6, assuming the dice is fair and each roll is independent. Therefore, the probability of rolling that specific number at least once in 300 rolls can be calculated using the complement rule, which is 1 minus the probability of not rolling the specific number in all 300 rolls.
A standard die has no memory and so the probability of rolling an even number is always a half. If you did not know that the die was standard and were using the fact that 7 out of 12 rolls were even as an empirical estimate for a loaded die then the answer is 7/12.
1/3
Joint probability is the probability that two or more specific outcomes will occur in an event. An example of joint probability would be rolling a 2 and a 5 using two different dice.
If you keep rolling the die, the probability is 1. If you require a 3 and a 4 in the first two rolls, the answer is (1/6)*(1/6) = 1/36
It's deduction. You can find the odds of something happening by first finding out the odds of that something not happening. That is converse probability. For instance the odds of rolling a "3" on a 6 sided die. Using converse probability would be 5/6 (5 sides are not the number "3"). 6/6 (six sides in all) - 5/6 = 1/6 is the odds of rolling that "3".
Total number of outcomes = 6*6 = 36 Number of favourable outcomes: 3 [1,3], [2,2] and [3,1] So prob = 3/36 = 1/12
The chance of rolling a 1 on a six-sided die is 1 in 6. To find the probability of rolling a 1 twice in a row, you multiply the probabilities of each event: (1/6) * (1/6) = 1/36. Therefore, the probability of rolling a 1 twice in a row is 1 in 36, or approximately 2.78%.
There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.