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MathNet 2013 Question 61

Math Olympiad Vault · MathNet 2013

Question 61

Agnese and Bruno play table football against Viviana and Zenone. The teams are equally matched, so for each ball each team has probability $1/2$ of scoring. What is the probability of reaching a 5–5 tie?
(A)$1/512$
(B)$252/1024$
(C)$252/512$
(D)$169/512$
(E)$169/1024$