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Omni-MATH / The numbers 1−10 are written in a circle randomly. Find the expected number of numbers which are at least 2 larger than an adjacent number.

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problem

The numbers 1−101-10 are written in a circle randomly. Find the expected number of numbers which are at least 2 larger than an adjacent number.
Plain-text mathematical notation (without MathML)
The numbers 1−10 are written in a circle randomly. Find the expected number of numbers which are at least 2 larger than an adjacent number.
Original LaTeX notation
The numbers $1-10$ are written in a circle randomly. Find the expected number of numbers which are at least 2 larger than an adjacent number.

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