Question

deb spins this spinner once and picks one marble from a bag. the bag has 1 red marble and 1 yellow marble. which list represents the sample space of this compound event? {(1, 2), (1, 3), (2, 4), (2, 5), (3, r), (3, y), (4, r), (4, y), (5, r), (5, y)} {(1, r), (1, y), (2, r), (2, y), (3, r), (3, y), (4, r), (4, y), (5, 1), (5, 2), (5, 3)} {(1, r), (1, y), (2, r), (2, y), (3, r), (3, y), (4, r), (4, y), (5, r), (5, y)} {(1, r), (2, r), (3, r), (4, r), (5, r), (y, y), (y, r)}

Explanation:

Step1: Identify possible outcomes of spinner

Spinner has 5 sections numbered 1 - 5. So 5 possible outcomes for spinner.

Step2: Identify possible outcomes of marble - picking

Bag has 2 marbles (red - R and yellow - Y), so 2 possible outcomes for marble - picking.

Step3: Form sample - space pairs

Each outcome of spinner can be paired with each outcome of marble - picking. The sample - space is formed by all such pairs. For example, if spinner shows 1 and marble is red, the pair is (1, R); if spinner shows 1 and marble is yellow, the pair is (1, Y) and so on.

Answer:

{(1, R), (1, Y), (2, R), (2, Y), (3, R), (3, Y), (4, R), (4, Y), (5, R), (5, Y)}