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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wow this is maybe the 4th time i have seen this exact problem. where does it come from?

we can do the dice first
\[P(A)=\frac{3}{36}=\frac{1}{12}\] since you can roll (3,1), (2,2), (1,3)

\[P(C)=\frac{2}{36}=\frac{1}{18}\] possible rolls are (5,6), (6,5)

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