The first die beats the second

Two fair dice are rolled - call them die 1 and die 2. Given that die 1 shows a strictly larger value than die 2, what is the probability their sum is 7? Give a decimal to four places.

Show hints (2)+
  1. Count the ordered pairs where die 1 > die 2 - there are 15.
  2. Which of those sum to 7?

Answer

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0.2 (± 0.001)

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