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Proportions: Coffee Without Cream

EMETRC-42CXBH

There are 17 unmarked cups of coffee on a tray. 8 are plain black. 5 are black, but have sugar. 4 have sugar and cream (and are thus light brown). If a person selects a black cup from the tray, then what is the chance it will contain sugar?

A

$\cfrac{1}{17}$

B

$\cfrac{5}{17}$

C

$\cfrac{5}{8}$

D

$\cfrac{5}{13}$

E

$\cfrac{8}{17}$