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Omni-MATH / Max repeatedly throws a fair coin in a hurricane. For each throw, there is a 4% chance that the coin gets blown away. He records the number of heads H and the number of tails T bef…

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problem

Max repeatedly throws a fair coin in a hurricane. For each throw, there is a 4%4 \% chance that the coin gets blown away. He records the number of heads HH and the number of tails TT before the coin is lost. (If the coin is blown away on a toss, no result is recorded for that toss.) What is the expected value of |H−T||H-T|?
Plain-text mathematical notation (without MathML)
Max repeatedly throws a fair coin in a hurricane. For each throw, there is a 4% chance that the coin gets blown away. He records the number of heads H and the number of tails T before the coin is lost. (If the coin is blown away on a toss, no result is recorded for that toss.) What is the expected value of |H−T|?
Original LaTeX notation
Max repeatedly throws a fair coin in a hurricane. For each throw, there is a $4 \%$ chance that the coin gets blown away. He records the number of heads $H$ and the number of tails $T$ before the coin is lost. (If the coin is blown away on a toss, no result is recorded for that toss.) What is the expected value of $|H-T|$?

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Source and history

task_id
10d79924-da6e-5513-a681-356132879006
task_key
test--10d79924-da6e-5513-a681-356132879006
task_revision_id
1
config / split
/ test

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