Probability that Two Arcs in a Circle Share a Length

Circle A has a circumference of 24. Arc BC has a length of 0.5 and arc DE has a length of 0.05. Both reside on the circle's circumference. What is the probability that the arcs share a length?

Hopefully someone can explain to me how I can solve this problem in a way that I can solve other problems just like it.

#Combinatorics

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Comments

Should the topic be Probability, not Combinatorics? @Kaizen Cyrus

A Former Brilliant Member - 1 year ago

I chose Probability as the topic but somehow the hashtag is Combinatorics.

Kaizen Cyrus - 1 year ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$