How to Calculate Probabilities, Part 2
Learn how to solve last week’s brain teaser about using probability trees to decide if and when you should go to the beach. Then use a probability tree to discover a famous and fascinating pattern in the probabilities of flipping coins.
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The top branch represents the possibility that it will be sunny and that we’ll be able to park. If we estimate that the probability of sun is 70% and the probability of being able to park when it’s sunny is 60%, then (as shown in the top-right of the drawing) the total probability for these two things is 0.7 x 0.6 = 0.42 or 42%. The next branch down shows that there is a 0.7 x 0.4 = 0.28 or 28% chance of sunshine but, sadly, no parking spaces for us to be able to get out of the car and enjoy it.
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