A coin has 2 sides: heads (H) and tails (T). A bag has 3 balls:1 blue (B), 1 green (G), and 1 yellow (Y)You toss a coin and randomly pick a ball. What is the samplespace?

We are given that a coin is toseed with two possible outcomes (head or tails) and a ball from a ball with balls of three different colors is picked.
We have that the possible outcomes are all possible combinations of the faces of the coin and the color of one of the balls.
Therfore, if:
[tex]\begin{gathered} H=\text{ head} \\ T=\text{ tail} \\ G=\text{ green} \\ B=\text{ blue } \\ Y=\text{ yellow} \end{gathered}[/tex]The possible combinations are:
[tex]\lbrace HB,HG,HY,TB,TG,TY\rbrace[/tex]Therefore, the right answer is C.