Describe an Event as a Subset of a Sample Space Using Tables and Diagrams

This video tutorial explains how to describe events as subsets of a sample space using tables and tree diagrams. It covers the concept of sample spaces with dice, emphasizing the importance of considering the order of events. The tutorial also demonstrates how to calculate sums and differences in dice outcomes and uses tree diagrams to analyze coin flip outcomes. The lesson concludes with a summary of these methods.

What is a sample space in probability?

• A set of all possible outcomes for an event

• A subset of possible outcomes

• A single outcome of an event

• A random selection of outcomes

How many total outcomes are there when rolling two dice?

• 24

• 12

• 48

• 36

Which of the following pairs of dice rolls results in a sum of five?

• (1, 4)

• (2, 2)

• (3, 3)

• (5, 5)

When flipping a coin twice, which sequence represents exactly one head?

• HH

• HT

• TT

• TH

In a sequence of three coin flips, which outcome has exactly one head?

• HHH

• HTT

• THT

• TTH