Question

Jonathon has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options.

Answer 1

Answer:

          [ry, yr, gy, yg, rg, gr]-Any three picks from this sample space.

Step-by-step explanation:

-The bag contains exactly $1r, \ 1y, \ 1g$ marbles.

-He picks one ball without looking, and chooses a second ball without replacing the first:

• If the first is red, the the second is either yellow or green,
• If the first is a yellow, then the second can be red or green,
• If the first is green, then the second can be a red or yellow.

The sample space of the second pick is therefore:

                               [ry, yr, gy, yg, rg, gr]

Hence, any three picks from the sample space are correct possible outcomes.