One rule of probability can be expressed as the following: The probability of two independent events occurring simultaneously is the product of the probability of their occurring separately. If, for example, you had a pair of dice and rolled each die one at a time, what would be the probability that you would get two 4s? On the first roll, you would have a 1/6 chance. On the second roll, you would have a 1/6 chance. The probability of obtaining two 4s would be 1/6 x 1/6 = 1/36. Suppose you were playing a game with five dices. What is the chance of rolling a 6 on all five dice?
With five dice =
1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 = (1/6)^6
It hleps to be more accurate in giving your subject area.
To calculate the probability of rolling a 6 on all five dice when playing a game with five dice, you need to apply the rule of probability you mentioned earlier.
The probability of rolling a 6 on a single die is 1/6, as there are six equally likely outcomes (numbers 1 to 6) on a die, and only one of them is a 6. Since each die roll is independent of the others, we can apply the rule to calculate the probability of getting a 6 on all five dice simultaneously.
To find the probability of multiple independent events occurring simultaneously, you multiply the probabilities of each individual event together. In this case, the probability of rolling a 6 on all five dice is (1/6) multiplied by itself five times.
So the probability of rolling a 6 on all five dice is (1/6)^5, which simplifies to 1/7776.
Therefore, the chance of rolling a 6 on all five dice is 1 in 7776, or approximately 0.0001286, or about 0.013%.