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

A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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How many diagonals does a pentagon have?

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The area of an equilateral triangle with side length 6 cm is:

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What is the square root of 0.25?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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If x^2 - 5x + 6 = 0, what are the roots?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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