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MATH / Select numbers a and b between 0 and 1 independently and at random, and let c be their sum. Let A, B, and C be the results when a, b, and c, respectively, are rounded to the neares…

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problem

Select numbers aa and bb between 0 and 1 independently and at random, and let cc be their sum. Let AA, BB, and CC be the results when aa, bb, and cc, respectively, are rounded to the nearest integer. What is the probability that A+B=CA+B=C?
Plain-text mathematical notation (without MathML)
Select numbers a and b between 0 and 1 independently and at random, and let c be their sum. Let A, B, and C be the results when a, b, and c, respectively, are rounded to the nearest integer.  What is the probability that A+B=C?
Original LaTeX notation
Select numbers $a$ and $b$ between 0 and 1 independently and at random, and let $c$ be their sum. Let $A$, $B$, and $C$ be the results when $a$, $b$, and $c$, respectively, are rounded to the nearest integer.  What is the probability that $A+B=C$?

level

Level 5

type

Counting & Probability

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Source and history

task_id
b5e5932c-69c4-5073-aad3-c7f7a4024958
task_key
counting~5fand~5fprobability--test--b5e5932c-69c4-5073-aad3-c7f7a4024958
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import