sofia spins each of these spinners once. which table represents the sample space of this compound event?
sofia spins each of these spinners once. which table represents the sample space of this compound event?
Answer
Explanation:
Step1: Identify outcomes of first spinner
The first spinner has 3 outcomes: red (R), blue (B), yellow (Y).
Step2: Identify outcomes of second spinner
The second spinner has 3 outcomes: orange (O), purple (P), green (G).
Step3: Construct sample - space table
Each outcome of the first spinner is paired with each outcome of the second spinner. The full sample - space should have 3×3 = 9 pairs. The correct table should have rows for red, blue, and yellow and columns for orange, purple, and green, showing all 9 possible combinations (RO, RP, RG, BO, BP, BG, YO, YP, YG).
Answer:
The first table (the one with three rows labeled red (R), blue (B), yellow (Y) and three columns labeled orange (O), purple (P), green (G) showing all 9 combinations RO, RP, RG, BO, BP, BG, YO, YP, YG)