It is 4/36 or 1/9.
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%.
1 in 6 = rolling a 2 5 in 6 = not rolling a 2
The probability of rolling a 3 is 1/6.
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
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.
Assuming you're using 6-sided dice, The probability of rolling less than 4 on one die is 1/2. To roll 3 dice and get less than 4 on 2 (and only 2) of them is 3/8.
one half.