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

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): You can put this solution on YOUR website!

 

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

 

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