Probability of Combined Events (Questions)

Probability of Combined Events — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)Two fair six-sided dice are rolled and their scores added. Calculate the probability that the total is 7.
Question 2

[3](a)A bag contains 5 red and 3 blue counters. Two counters are drawn without replacement. Calculate the probability that both are red.
Question 3

[2](a)A bag has 5 red and 3 blue counters. Two are drawn WITH replacement. Calculate the probability both are red.
Question 4

[3](a)A fair coin is tossed twice. Calculate the probability of getting at least one head.
Question 5

[2](a)Two fair dice are rolled. Calculate the probability that both show the same number.
Question 6

[3](a)A bag has 4 red and 6 green counters. One counter is drawn, its colour noted, and NOT replaced. A second is drawn. Calculate the probability that both are green.
Question 7

[2](a)The probability a student passes a test is 0.7. For two independent students, calculate the probability both pass.
Question 8

[3](a)Using the same information, calculate the probability that exactly one of the two students passes.
Question 9

[2](a)Draw or describe a possibility space diagram for rolling two fair dice, and state the total number of outcomes.
Question 10

[2](a)Two fair dice are rolled and their scores added. Calculate the probability that the total is less than 5.

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