Question

kayla flips this coin once and picks one marble from a bag. the bag has 1 yellow marble, 1 green marble, and 1 red marble. which table represents the sample space of this compound event? yellow (y) green (g) red (r) heads (h) hy hg hr tails (t) ty tg tr yellow (y) green (g) heads (h) hy hg tails (t) ty tg

Explanation:

Step1: Identify possible coin - flip outcomes

The coin can land on heads (H) or tails (T), 2 possible outcomes.

Step2: Identify possible marble - pick outcomes

The bag has 3 marbles (yellow - Y, green - G, red - R), so 3 possible outcomes.

Step3: Determine sample - space

The sample space of a compound event is found by combining all possible outcomes of each event. For each coin - flip outcome, there are 3 marble - pick outcomes. So the sample space should have 2×3 = 6 elements.
The first table has 6 elements (HY, HG, HR, TY, TG, TR) representing all combinations of coin - flip and marble - pick, while the second table has only 4 elements and does not include the red marble combinations.

Answer:

The first table (the one with yellow (Y), green (G), red (R) columns and heads (H) and tails (T) rows) represents the sample space of this compound event.