olymmath

HMMT 2015 C7

  • Combinatorics

2015 people sit down at a restaurant. Each person orders a soup with probability 12\frac{1}{2}. Independently, each person orders a salad with probability 12\frac{1}{2}. What is the probability that the number of people who ordered a soup is exactly one more than the number of people who ordered a salad?

Dataset text NuminaMath olympiads. Quoted with source.

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