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

Question 480594: 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 4 on two fair six sided dice
B. drawing a black seven out of a standard 52 card deck given it's not a face card of an Ace.
C. rolling a sum of 11 on two fair six sided dice.
D. rolling a sum of 7 on two fair six sided dice.
E. drawing a three out of a standard 52 card deck given it's not a face card or an Ace.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

Note: 

B and E refer to standard 52 card deck/12 face cards and 4 aces. (52-16)= 36 

Probability of:

A. rolling a sum of 4 on two fair six sided dice = 3/36 = 1/12

B. drawing a black seven,given it's not a face card of an Ace = 2/36 = 1/18

C. rolling a sum of 11 on two fair six sided dice = 2/36 = 1/18

D. rolling a sum of 7 on two fair six sided dice = 6/36 = 1/6

E. drawing a three, given it's not a face card or an Ace = 4/36 = 1/9



___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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