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- andijo76

Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
A. rolling a sum of 4 on two fair six sided dice
B. drawing a black seven out of a standard 52 card deck given it’s not a face card or an Ace.
C. rolling a sum of 11 on two fair six sided dice
D. rolling a sum of 7 on two fair six sided dice
E. drawing a three out of a standard 52 card deck given it’s not a face card or an Ace.

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- andijo76

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- anonymous

guess we have to find them all right?

- anonymous

A: 3 out of 36 possibilities so
\[\frac{3}{36}=\frac{1}{12}\]

- andijo76

lol yes haha

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- anonymous

B is worded funny, but i guess we are supposed to think it means you know it is not a face card or an ace, so there are 12 face cards, 4 aces for a total of 16 and therefore out deck has 36 cards, 4 sevens so
\[\frac{4}{36}=\frac{1}{9}\] for B

- anonymous

eleven has 2 possibilities out of 36 so
\[\frac{2}{36}=\frac{1}{18}\] no matches yet!

- anonymous

probability you roll a seven on a pair of dice is
\[\frac{1}{6}\] so it is up to the last one

- anonymous

ok i made a mistake.
B says "black 7" not 7 so it should be
\[\frac{2}{36}=\frac{1}{18}\]

- anonymous

so B and C are the same. now lets try E
again 36 cards left in the deck, and 4 are threes so this time it is
\[\frac{4}{36}=\frac{1}{9}\] i will let you find the matches

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