From the course: Statistics Foundations 2: Probability

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Probability trees

Probability trees - Microsoft Excel Tutorial

From the course: Statistics Foundations 2: Probability

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Probability trees

- When you're trying to calculate probabilities for multiple events it's often helpful to draw a probability tree to visualize how the events might occur. Let's use a probability tree to see how probabilities will change as we flip a coin two times. Let's build a probability tree for two successive coin flips. We flip the first coin and it turns up as heads or tails, one branch for each outcome. Each branch has a probability of 50%. Remember we're flipping the coin twice. It doesn't matter what the result was on flip number one. So we flip again. Now next to both the heads outcome from flip number one and the tails outcome, we add two more branches. And again, each branch has a probability of 50%. We can then follow the paths of the four outcomes at the end of our tree. One is heads flip one, heads flip two. Another is heads, then tails. At the bottom of the tree we have tails heads and tails tails. If we multiply…

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