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Omni-MATH / An ordered list of four numbers is called a quadruple. A quadruple (p,q,r,s) of integers with p,q,r,s≥0 is chosen at random such that 2p+q+r+s=4. What is the probability that …

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problem

An ordered list of four numbers is called a quadruple. A quadruple (p,q,r,s)(p, q, r, s) of integers with p,q,r,s≥0p, q, r, s \geq 0 is chosen at random such that 2p+q+r+s=42 p+q+r+s=4. What is the probability that p+q+r+s=3p+q+r+s=3?
Plain-text mathematical notation (without MathML)
An ordered list of four numbers is called a quadruple. A quadruple (p,q,r,s) of integers with p,q,r,s≥0 is chosen at random such that 2p+q+r+s=4. What is the probability that p+q+r+s=3?
Original LaTeX notation
An ordered list of four numbers is called a quadruple. A quadruple $(p, q, r, s)$ of integers with $p, q, r, s \geq 0$ is chosen at random such that $2 p+q+r+s=4$. What is the probability that $p+q+r+s=3$?

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Source and history

task_id
96db9c09-c27c-5954-bc64-e4dd41f5286a
task_key
test--96db9c09-c27c-5954-bc64-e4dd41f5286a
task_revision_id
1
config / split
/ test

Official source

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