Rose Harrison and Clara Huizink Solutions for Exercise 5: Practice 1

The Scandinavian board game Daldøs uses $4$-sided (tetrahedral) dice. The roll of one such die results in a score of I, II, III or IV.

Represent the sample space for rolling two of these dice as a list and as a table.

A fair coin is tossed three times.
Define the sample space for this experiment.

Copy and complete this sample space table for the sum of the scores from rolling two $4$-sided dice, each with faces numbered $1,2,3$ and $4$.

A street vendor sells two types of sandwich - a South African Gatsby or a Greek Gyro - and three types of fruit-apple, orange or banana. List the sample space for the possible choices of a sandwich and a piece of fruit.

A tetrahedral die ($4$-sided) and a normal die ($6$-sided) are rolled simultaneously. Construct a sample space to represent the possible outcomes.

Each of two boxes contains five cards numbered $1$ to $5$ A card is drawn from each box. Draw a sample space to represent the possible outcomes.

There are two sets of five cards. One contains the numbers $0$ to $4$ and the other contains the numbers $2$ to $6$ . You draw a card from each set and multiply the numbers together. Draw a sample space to represent this information.

The sample space for an experiment is:

$S=\left\{\right(1,H),(2,H),(3,H),(4,H),(1,T),(2,T),(3,T),(4,T\left)\right\}$

Describe the experiment.