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SMO 2022 Junior Round 1 Question 2

SMO · SMO 2022 Junior Round 1

Question 2

Adele has a fruit basket containing one apple, two bananas and three oranges, while Betty has a fruit basket containing two apples and three oranges. Assuming that Adele and Betty each randomly picked a fruit from her own basket, what is the probability that together they picked an apple and an orange?
  1. $1/10$
  2. $3/10$
  3. $1/5$
  4. $6/11$
  5. None of the above