Topic Details (Notes format)

How to Use Probability Trees for Complex Probabilities

Subject: Mathematics

Book: Maths Mastery

Probability trees help map multi-stage or conditional events. Each branch holds a probability, and the product along a path yields the joint event probability. Summing relevant path probabilities solves “either/or” questions. For instance, flipping two coins can be diagrammed with branches for heads/tails at each step, calculating 1/4 probability for each HH, HT, TH, TT outcome. Probability trees excel in sequences: test performances, repeated draws without replacement, or multi-step game moves. This structured approach ensures no scenario is overlooked, promoting clarity in advanced probability analysis.

Practice Questions

What is the area of a circle with a diameter of 14 cm?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If the sum of three consecutive integers is 96, what are the integers?

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