MATHS - Statistics - Sample Spaces

The video tutorial explains how to visualize outcomes from probability events using sample spaces. It introduces three methods: lists, tables, and tree diagrams, focusing on lists and tables. Examples include rolling dice and choosing meals at a restaurant. The video demonstrates calculating probabilities, such as rolling two odd numbers or a sum greater than 7, using sample spaces. It concludes by distinguishing between theoretical and experimental probability, emphasizing that experimental results tend to align with theoretical expectations over time.

What is a sample space in probability?

• A list of all possible outcomes of an event

• A tool to predict future events

• A diagram showing the frequency of outcomes

• A method to calculate the mean of outcomes

Which of the following is NOT a way to present a sample space?

• List

• Table

• Tree diagram

• Graph

How many outcomes are possible when rolling two dice and getting two odd numbers?

• 9

• 15

• 12

• 6

What is the probability that the sum of two dice rolls is greater than 7?

• 7/12

• 1/2

• 5/12

• 1/4

What is the main difference between theoretical and experimental probability?

• Experimental probability is calculated using a formula, while theoretical is not.

• Theoretical probability is always more accurate than experimental probability.

• Theoretical probability is what we expect to happen, while experimental is what actually happens.

• Theoretical probability is based on actual trials, while experimental is based on expected outcomes.