SOLUTION: 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 f

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Question 479223: 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 9 on two fair six sided dice
B. drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card.
C. rolling a sum of 11 on two fair six sided dice
D. drawing a king out of a standard 52 card deck given it’s a face card.
E. rolling a sum of 10 on two fair six sided dice
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A. rolling a sum of 9 on two fair six sided dice 
That's either 3&6, 4&5, 5&4, or 6&3.  4 ways out of 36 or 
a probability of 4/36 or 1/9.

B. drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card.
That's 1 way out of 12 face cards, which has a probability of 1/12

C. rolling a sum of 11 on two fair six sided dice
That's either a 5&6 or 6&5.  2 ways out of 36 or a probability
of 2/36 or 1/18.

D. drawing a king out of a standard 52 card deck given it’s a face card.
That's 4 ways out of 12 face cards, which has a probability of 4/12
or 1/3.

E. rolling a sum of 10 on two fair six sided dice
That's either 4&6, 5&5, or 6&4.  3 ways out of 36 or 
a probability of 3/36 or 1/12.

So the only two that have the same probability are B and E, which are
both 1/12.

Edwin