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Edexcel IGCSE Math B 10.H Independent-Event Probability Question Bank

Practise using tree diagrams to multiply independent-event paths and add alternative routes for combined outcomes.

Syllabus
First assessment 2018
Course
Math B 4MB1

Exam points

  • repeat unchanged branch probabilities for independent trials
  • multiply along a path to find a complete sequence of outcomes
  • add mutually exclusive paths when exactly one success can occur in either order

10.H Independent event probability question 1

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Figure for Question 10.H Independent event probability question 1 — Edexcel IGCSE Math B

Ahmed and Hani play a game with 20 numbered balls.
The 20 balls are numbered from 1 to 20.
The balls are put in a bag.
Ahmed takes at random a ball from the bag, makes a note of its number and puts the ball back into the bag.
If the number is a multiple of 5, Ahmed wins.
If Ahmed does not win, Hani takes a ball, replaces it, and wins if the number is a multiple of 3.
If Hani does not win, Ahmed takes a ball, replaces it, and wins if the number is a multiple of 6.
If Ahmed does not win, Hani takes a ball, replaces it, and wins if the number is a multiple of 4.
If Hani does not win, the game stops and the result is a draw.

Question (a)

(a)
Figure for Question (a) — Edexcel IGCSE Math B

The incomplete probability tree diagram for the game is shown below.
Complete the probability tree diagram for Ahmed and Hani's game.

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Question (b)

(b)

Determine which player, Ahmed or Hani, is more likely to win the game.
Give a reason for your answer.

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