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

If 5x - 2 = 13, what is the value of x?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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If a number is divisible by 9, it is also divisible by which of the following?

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What is the sum of all odd numbers from 1 to 99?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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What is the square root of 144?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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