olymmath

HMMT 2005 C8

  • Combinatorics

Every second, Andrea writes down a random digit uniformly chosen from the set {1,2,3,4}\{1,2,3,4\}. She stops when the last two numbers she has written sum to a prime number. What is the probability that the last number she writes down is 1 ?

Dataset text NuminaMath olympiads. Quoted with source.

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