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SASMO 2027 · Grades 2-3 · SET 021 · Self-study Question 7

SASMO · SASMO 2027 · Grades 2-3 · SET 021 · Self-study

Question 7

Alice and Bob each draw one marble without looking from a bag containing two blue marbles and one red marble. After each sees only their own marble, Alice says, “I know the colour of your marble!” If she is truthful and correct, what colour did each get? The lesson printing lists A–D; the 2017 paper also includes E.

Question illustration

Draw without replacement. Alice knows the initial contents and bases her certainty only on the colour she sees.
  1. Alice blue; Bob blue
  2. Alice red; Bob blue
  3. Alice blue; Bob red
  4. Alice red; Bob red
  5. None of the above