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Examples of Addition and Multiplication Rules – Using Dice Rolling

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If we throw a six‐sided die the probability of throwing a 6 is 1/6 and the probability of a 5 is also 1/6. We cannot throw a 5 and 6 at the same time (these events are mutually exclusive) using 1 die so the probability of throwing either 5 or a 6 is (by the addition rule):


Suppose we throw two six‐sided dice together. The probability of throwing a 6 is 1/6 for each die. The outcome of each die is independent of the other. Therefore, the probability of throwing two 6s together (by the multiplication rule) is:


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