Question

marco rolls this 6 - sided die and spins this spinner once. which table represents the sample space of this compound event? red (r) yellow (y) blue (b) green (g) 1, r 1, y 1, b 1, g 2, r 2, y 2, b 2, g 3, r 3, y 3, b 3, g 4, r 4, y 4, b 4, g 5, r 5, y 5, b 5, g 6, r 6, y 6, b 6, g red (r) yellow (y) blue (b) green (g) 0, r 0, y 0, b 0, g 1, r 1, y 1, b 1, g 2, r 2, y 2, b 2, g

Explanation:

Step1: Identify the outcomes of die - roll

The 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6.

Step2: Identify the outcomes of spinner - spin

The spinner has 4 possible outcomes: red (R), yellow (Y), blue (B), green (G).

Step3: Determine the sample - space

For each outcome of the die - roll, there are 4 possible outcomes of the spinner - spin. The sample space is a set of all possible pairs. The first element of the pair is the result of the die - roll and the second element is the result of the spinner - spin.
The correct table is the one that shows all 6×4 = 24 possible pairs: (1,R), (1,Y), (1,B), (1,G), (2,R), (2,Y), (2,B), (2,G), (3,R), (3,Y), (3,B), (3,G), (4,R), (4,Y), (4,B), (4,G), (5,R), (5,Y), (5,B), (5,G), (6,R), (6,Y), (6,B), (6,G).

Answer:

The first table (the one with rows labeled 1 - 6 and columns labeled red (R), yellow (Y), blue (B), green (G) and entries like 1,R; 1,Y; 1,B; 1,G; 2,R; 2,Y; 2,B; 2,G; 3,R; 3,Y; 3,B; 3,G; 4,R; 4,Y; 4,B; 4,G; 5,R; 5,Y; 5,B; 5,G; 6,R; 6,Y; 6,B; 6,G) represents the sample space.