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Omni-MATH / Five cards labeled 1,3,5,7,9 are laid in a row in that order, forming the five-digit number 13579 when read from left to right. A swap consists of picking two distinct cards, and t…

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problem

Five cards labeled 1,3,5,7,91,3,5,7,9 are laid in a row in that order, forming the five-digit number 13579 when read from left to right. A swap consists of picking two distinct cards, and then swapping them. After three swaps, the cards form a new five-digit number nn when read from left to right. Compute the expected value of nn.
Plain-text mathematical notation (without MathML)
Five cards labeled 1,3,5,7,9 are laid in a row in that order, forming the five-digit number 13579 when read from left to right. A swap consists of picking two distinct cards, and then swapping them. After three swaps, the cards form a new five-digit number n when read from left to right. Compute the expected value of n.
Original LaTeX notation
Five cards labeled $1,3,5,7,9$ are laid in a row in that order, forming the five-digit number 13579 when read from left to right. A swap consists of picking two distinct cards, and then swapping them. After three swaps, the cards form a new five-digit number $n$ when read from left to right. Compute the expected value of $n$.

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Source and history

task_id
f7409d06-f95b-5479-9008-d3d388dcf6fb
task_key
test--f7409d06-f95b-5479-9008-d3d388dcf6fb
task_revision_id
1
config / split
/ test

Official source

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