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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 (with audio icons):

  • impossible: green
  • unlikely: pink
  • as likely as not: orange
  • likely: orange or pink
  • (left side with audio icon): not pink

Explanation:

Step1: Calculate total erasers

Total erasers = $9 + 18 + 9 = 36$

Step2: Analyze green selection

No green erasers exist.
Probability: $\frac{0}{36} = 0$

Step3: Analyze pink selection

Pink erasers = 9.
Probability: $\frac{9}{36} = \frac{1}{4}$

Step4: Analyze orange selection

Orange erasers = 18.
Probability: $\frac{18}{36} = \frac{1}{2}$

Step5: Analyze orange or pink selection

Orange + pink = $18 + 9 = 27$.
Probability: $\frac{27}{36} = \frac{3}{4}$

Step6: Analyze "not pink" selection

Non-pink erasers = $9 + 18 = 27$.
Probability: $\frac{27}{36} = \frac{3}{4}$

Answer:

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