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problem

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?
Plain-text mathematical notation (without MathML)
2015 people sit down at a restaurant. Each person orders a soup with probability (1)/(2). Independently, each person orders a salad with probability (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?
Original LaTeX notation
2015 people sit down at a restaurant. Each person orders a soup with probability $\frac{1}{2}$. Independently, each person orders a salad with probability $\frac{1}{2}$. 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?

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