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 square root of 0.25?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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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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What is the HCF of 48 and 180?

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

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If the perimeter of a square is 40 cm, what is the area of the square?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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