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.

Calculate the probability of getting two $4$s  when you roll two 4-sided dice.

Calculate the probability of not getting two $4$s  when you roll two 4-sided dice.

Two tetrahedral dice are rolled and their scores are added.
Calculate the probability of getting a sum of $5$.

Two tetrahedral dice are rolled and their scores are added.
Calculate the probability of getting a sum not equal to $5$.

A fair coin is tossed three times. Calculate the probability of getting three Heads.