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Mathematics 8 Online
OpenStudy (anonymous):

A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the hand, the next card must be higher than the highest card already on the table. Assuming the game is played with a single deck, what is the chance that the next card drawn will win the hand? (An ace has a value of 1.) A) 3% B) 12% C) 24% D) 25%

OpenStudy (anonymous):

Why?

OpenStudy (anonymous):

@geerky32

OpenStudy (anonymous):

@geerky42

OpenStudy (anonymous):

c

OpenStudy (anonymous):

But why???

OpenStudy (anonymous):

12 cards higher than 10 in the deck. the deck has 52 cards. 12/52

geerky42 (geerky42):

J, Q, and K is higher than highest card; 10. And there is 4 J's, Q's, and K's, so you have 12 cards in total, out of 50 cards (2 are already drawn.) So you have \(12/50 = \boxed{24\%}\) Does that make sense?

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