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Omni-MATH / Rosencrantz and Guildenstern each start with 2013 and are flipping a fair coin. When the coin comes up heads Rosencrantz pays Guildenstern 1 and when the coin comes up tails Guilde…
Problem
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problem
Rosencrantz and Guildenstern each start with and are flipping a fair coin. When the coin comes up heads Rosencrantz pays Guildenstern and when the coin comes up tails Guildenstern pays Rosencrantz . Let be the number of dollars Rosencrantz is ahead of his starting amount after flips. Compute the expected value of .
Plain-text mathematical notation (without MathML)
Rosencrantz and Guildenstern each start with $2013 and are flipping a fair coin. When the coin comes up heads Rosencrantz pays Guildenstern $1 and when the coin comes up tails Guildenstern pays Rosencrantz $1. Let f(n) be the number of dollars Rosencrantz is ahead of his starting amount after n flips. Compute the expected value of max{f(0),f(1),f(2),…,f(2013)}.Original LaTeX notation
Rosencrantz and Guildenstern each start with $\$ 2013$ and are flipping a fair coin. When the coin comes up heads Rosencrantz pays Guildenstern $\$ 1$ and when the coin comes up tails Guildenstern pays Rosencrantz $\$ 1$. Let $f(n)$ be the number of dollars Rosencrantz is ahead of his starting amount after $n$ flips. Compute the expected value of $\max \{f(0), f(1), f(2), \ldots, f(2013)\}$.Discussion
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- task_id
b1e0c1e0-b795-53fe-a8a3-3c7a0cf34bc8- task_key
test--b1e0c1e0-b795-53fe-a8a3-3c7a0cf34bc8- task_revision_id
- 1
- config / split
- / test
initial import