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a bag contains 9 purple erasers, 18 orange erasers, and 9 pink erasers.…

Question

a bag contains 9 purple erasers, 18 orange erasers, and 9 pink erasers. morgan selects an eraser from the bag without looking. determine if selecting each color is impossible, unlikely, as likely as not, or likely.
options for color and likelihood pairing:

  • impossible with green
  • unlikely with pink
  • as likely as not with orange
  • likely with orange or pink

(there are also speaker icons next to each text element, and a speaker icon with orange or pink on the left side.)

Explanation:

Step1: Calculate total erasers

Total = $9 + 18 + 9 = 36$

Step2: Analyze green eraser probability

No green erasers, so $P(\text{green}) = 0$

Step3: Analyze pink eraser probability

$P(\text{pink}) = \frac{9}{36} = \frac{1}{4}$ (low probability)

Step4: Analyze orange eraser probability

$P(\text{orange}) = \frac{18}{36} = \frac{1}{2}$ (50% chance)

Step5: Analyze orange/pink probability

$P(\text{orange or pink}) = \frac{18+9}{36} = \frac{27}{36} = \frac{3}{4}$ (high probability)

Answer:

  • green → Impossible
  • pink → Unlikely
  • orange → As Likely as Not
  • orange or pink → Likely