Sample space diagrams
AQA GCSE Maths revision on Sample space diagrams. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
-
Question 1
If you roll a fair six-sided die and flip a fair coin, what is the total number of possible outcomes in the sample space?
Show answer
Answer: 12
The die has 6 outcomes and the coin has 2 outcomes. Multiplying these gives 6 times 2, which equals 12 total outcomes in the sample space.
-
Question 2
When rolling two fair dice, which fraction represents the probability that the sum of the scores is exactly 7?
- A) One sixth as there are six ways to get seven
- B) Two fifths as there are five ways to get seven
- C) Six eighths as there are eight ways to get seven
- D) Five tenths as there are ten ways to get seven
Show answer
Answer: One sixth as there are six ways to get seven
There are 36 total outcomes when rolling two dice. The combinations that sum to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), which is 6 outcomes out of 36, simplifying to 1/6.
-
Question 3
What is the probability of rolling a total score of 12 when rolling two fair six-sided dice?
Show answer
Answer: 1/36
Only one outcome, (6,6), results in a sum of 12. Since there are 36 possible outcomes in total, the probability is 1/36.
Want to test yourself on the remaining cards for this topic?
13 more questions on Sample space diagrams — plus mistakes tracking and spaced repetition across the whole Maths spec.