Question Type 1: Creating a sample space that shows each possible outcome for a given simple experiment Exercises

Determine the sample space $S$ for tossing a fair coin four times.

List the sample space $S$ for the experiment: toss a fair coin until the first head appears or until three tosses have been made.

List the sample space $S$ for the experiment of tossing two fair coins and then rolling one fair six-sided die.

Find the sample space $S$ for drawing one marble from a bag with 3 red and 2 blue marbles, then rolling a fair four-sided die.

List the sample space $S$ for drawing two marbles without replacement from a bag containing 3 red and 2 blue marbles, where order matters.

Determine the sample space $S$ for spinning a three-color spinner (red, green, blue) and then flipping a fair coin.

List the sample space $S$ for the experiment of tossing a fair coin three times.

Express the sample space $S$ for rolling a fair six-sided die twice using set-builder notation.

Determine the sample space $S$ for selecting one day of the week (Mon–Sun) and flipping a fair coin.

Determine the sample space $S$ for rolling a fair four-sided die and a fair six-sided die together.

Write the sample space $S$ for spinning a fair three-section spinner (sections A, B, C) twice.

List the sample space $S$ for the combined experiment of tossing one fair coin and rolling one fair six-sided die.