SOLUTION: Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are no

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Question 387673: Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
rolling a sum of 9 on two fair six sided dice
drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card.
rolling a sum of 11 on two fair six sided dice
drawing a king out of a standard 52 card deck given it’s a face card.
rolling a sum of 10 on two fair six sided dice
Answer by Fombitz(32388) About Me  (Show Source):
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"rolling a sum of 9 on two fair six sided dice "
There are 36 (6%5E2) possible outcomes.
(3,6)
(4,5)
(5,4)
(6,3)
Four of them sum to 9.
P%289%29=4%2F36=1%2F9
.
.
"drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card"
There are 12 face cards.
There is 1 Queen of Diamonds.
P%28QD%2CF%29=1%2F12
.
.
"rolling a sum of 11 on two fair six sided dice"
(5,6)
(6,5)
P%2811%29=2%2F36=1%2F18%29
.
.
"drawing a king out of a standard 52 card deck given it’s a face card"
There are 12 face cards.
There are 4 Kings.
P%28K%2CF%29=4%2F12=1%2F3
.
.
.
"rolling a sum of 10 on two fair six sided dice"
(4,6)
(5,5)
(6,4)
P%2810%29=3%2F36=1%2F12
.
.
.
No two pairs match in their probabilities.