biology
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?
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The probability of rolling a 6 on all five dice is 1/6^5 = 0.0001286. This is because the probability of rolling a 6 on each die is 1/6, and the probability of an event happening five times in a row is found by multiplying the probability of the event happening one time in a row together five times. In this case, the probability of rolling a 6 on each dice is 1/6, so the probability of rolling a 6 on all five dice is 1/6 multiplied together five times, which equals 0.0001286.
