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.
1/12
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.
4/12=2/6=1/3
E. rolling a sum of 10 on two fair six sided dice

Question

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. 
1/12
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.
4/12=2/6=1/3
E. rolling a sum of 10 on two fair six sided dice

phi · Answer

to figure out the probabilities of the dice rolls, make a 6 by 6 chart
1 ... 6 across the top
1 ... 6 down the bottom
in each square put the sum.

then find all the squares that match the criteria, and divide by the total number of squares (i.e. 36)