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

Reveal answer →

0.4545 (± 0.001)

Want the full step-by-step worked solution? It's part of Premium — along with a worked solution for every question in the bank.

Asked at: Optiver, IMC

Related questions