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Omni-MATH / Let A,E,H,L,T, and V be chosen independently and at random from the set {0,(1)/(2),1}. Compute the probability that ⌊T⋅H⋅E⌋=L⋅A⋅V⋅A.

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problem

Let A,E,H,L,TA, E, H, L, T, and VV be chosen independently and at random from the set {0,12,1}\left\{0, \frac{1}{2}, 1\right\}. Compute the probability that ⌊T⋅H⋅E⌋=L⋅A⋅V⋅A\lfloor T \cdot H \cdot E\rfloor=L \cdot A \cdot V \cdot A.
Plain-text mathematical notation (without MathML)
Let A,E,H,L,T, and V be chosen independently and at random from the set {0,(1)/(2),1}. Compute the probability that ⌊T⋅H⋅E⌋=L⋅A⋅V⋅A.
Original LaTeX notation
Let $A, E, H, L, T$, and $V$ be chosen independently and at random from the set $\left\{0, \frac{1}{2}, 1\right\}$. Compute the probability that $\lfloor T \cdot H \cdot E\rfloor=L \cdot A \cdot V \cdot A$.

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Source and history

task_id
2f9ff4a0-ffea-56be-8a74-77757aa66311
task_key
test--2f9ff4a0-ffea-56be-8a74-77757aa66311
task_revision_id
1
config / split
/ test

Official source

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