Probability and Outcomes with Coins and Dice

This video tutorial explores systematic lists, including tables and tree diagrams, to find sample spaces for various events. It begins with an introduction to sample spaces using dice rolls, then demonstrates how to use tables to find sample spaces for tossing two coins and rolling two dice. The video also covers tree diagrams for finding sample spaces in multi-stage events, such as tossing two coins or a combination of a coin toss and a die roll. The tutorial emphasizes the importance of using curly brackets to represent sample spaces and provides examples to illustrate the concepts.

What is the sample space when rolling a single die?

• {0, 1, 2, 3, 4, 5, 6}

• {1, 2, 3, 4, 5, 6}

• {1, 2, 3, 4, 5}

• {2, 3, 4, 5, 6, 7}

What is the purpose of using systematic lists in probability?

• To find the mode of a dataset

• To find the sample space of events

• To determine the median of a dataset

• To calculate the mean of a dataset

How many outcomes are there when tossing two coins?

• 2

• 5

• 4

• 3

Which of the following is NOT a possible outcome when tossing two coins?

• Head-Head-Tail

• Head-Tail

• Tail-Head

• Head-Head

What is the sample space for tossing two coins?

• {HT, TH, TT}

• {HH, HT, TT}

• {HH, HT, TH, TT}

• {HH, TH, TT}

When rolling two dice, what is the total number of possible outcomes?

• 12

• 24

• 36

• 48

What is the probability of rolling a sum of 2 with two dice?

• 1/12

• 1/18

• 1/6

• 1/36

Which number appears diagonally in the table of sums for two dice?

• 2

• 3

• 12

• 7

What is the sum of the numbers on two dice if one shows 3 and the other shows 4?

• 6

• 7

• 8

• 5

What is the first step in creating a tree diagram for tossing two coins?

• Draw the outcomes of the second coin

• Start at a point and draw the outcomes of the first coin

• List all possible outcomes

• Calculate probabilities