From the course: Statistics Foundations 2: Probability

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Multiplication rule

Multiplication rule - Microsoft Excel Tutorial

From the course: Statistics Foundations 2: Probability

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Multiplication rule

- Earlier we saw the addition rule of probability. Now let's look at the multiplication rule of probability. Let's look at two different scenarios, each with multiple events. Let's say we have a pair of dice. One is red in color. The other is white. If we roll each die, what's the probability both dice will come up with a one? First, let's recognize that these are two independent events. The outcome of rolling the red die in no way influences the outcome of the white die. For two independent events, we find the probability of each individual desired outcome. The odds of rolling a one on the red die is one in six, a 16.7% probability. The odds of rolling a one on the white die is also one in six, also a 16.7% probability. The multiplication rule tells us that to find the probability that both the white and red die come up one, we multiply the probabilities of each individual outcome. 16.7% X 16.7% is 2.79%. There's…

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