Tree Diagram for Conditional Probability
A conditional probability tree diagram helps show the outcomes of events that depend on each other. Dependent events are influenced by previous occurrences. For example, Imagine a person buying two different products online. The probability of them liking the first product is 0.6. If they like the first product, the chance theyâll also like the second one is 0.9. However, if they donât like the first product, the probability of liking the second one drops to 0.4. To find the conditional probability of disliking both products, we can use a probability tree diagram with these steps:
Step 1: Draw the probability tree diagram for the first product. The probability of disliking it is 1 â 0.6 = 0.4.
Step 2: Create branches for the second product, assuming the person liked the first. Ensure the probabilities sum up to 1 (e.g., 0.9 + 0.1).
Step 3: Draw branches for the second product when the person didnât like the first.
Step 4: Multiply the probabilities along each branch to find the conditional probability outcomes.
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