SOLUTION: Which pair has equally likely outcomes? Check the 2 choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four aces. (Aces are not
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Question 445476: Which pair has equally likely outcomes? Check the 2 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 ewatrrr(24785) (Show Source):
Hi
P(A given B) = P(A|B) = P(A and B)/P(B)
P(Rolling a sum of 9 on two fair six sided dice.) = 4/36 = 1/9
P(queen of diamonds|it's a face card) = = 1/12
P(Rolling a sum of 11 on two fair six sided dice) = 2/36 = 1/18
P( king |it's a face card) = = 4/12 = 1/3
P(Rolling a sum of 10 on two fair six sided dice) = 3/36 = 1/12
___1_2_3__4__5__6
1|_2_3_4__5__6__7
2|_3_4_5__6__7__8
3|_4_5_6__7__8__9
4|_5_6_7__8__9_10
5|_6_7_8__9_10_11
6|_7_8_9_10_11_12
