An even sum given a five appears

Two fair dice are rolled. Given that at least one die shows a 5, what is the probability that their sum is even? Give a decimal to four places.

Show hints (2)+
  1. Count the 11 ordered pairs containing at least one 5.
  2. 5 is odd - an even sum needs the other die odd too.

Answer

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0.4545 (± 0.001)

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