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AMO 2027 Grades 8-9 SET 1 - Self-study Question 14

AMO · AMO 2027 Grades 8-9 SET 1 - Self-study

Question 14

In the game “Golden Die”, you are given two turns of tossing a cube die. If you get 1 or 6 in the first toss, you win. As a result, you don’t need to use the second turn. Otherwise, you have to toss the die once more. You win if and only if the result of the two tosses are the same. What is the probability that you win the game?