This introduction covers Mapping All Possibilities within Sample Spaces for GCSE Mathematics. Revise Sample Spaces in Probability for GCSE Mathematics with 11 exam-style questions and 20 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 1 of 7 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.
Mapping All Possibilities
When you play a board game and roll two dice, how many different combinations can you get? When you flip three coins, what are all the possible outcomes? Understanding sample spaces helps us systematically list all possible outcomes before calculating probabilities.
Sample spaces are like creating a complete map of all possibilities - ensuring we don't miss any outcomes when solving probability problems.
Practice questions for Sample Spaces
A fair coin is flipped and a fair die (numbered 1 to 6) is rolled. How many possible outcomes are there in total?
Explain what a sample space diagram is and why it is useful when finding probabilities for two combined events.