Question

a special deck of cards has ten cards. four are green (g), two are blue (b), and four are red (r). when a card is picked, the color of it is recorded. an experiment consists of first picking a card and then tossing a coin, which lands on heads (h) or tails (t). part (a) list the sample space. (enter your answer using letter combinations separated by commas. example gh, gt,...) { } part (b) part (c) part (d)

Explanation:

Part (a)

Step 1: Identify card colors and coin outcomes

The card colors are G (green), B (blue), R (red). The coin outcomes are H (heads) and T (tails).

Step 2: Generate all combinations

For each card color, combine with each coin outcome. So for G: GH, GT; for B: BH, BT; for R: RH, RT.

Answer:

{GH, GT, BH, BT, RH, RT}