SOLUTION: Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, seperated by a comma. A standard deck of cards has 12 f

Question 386490: Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, seperated by a comma. A standard deck of cards has 12 face cards and four aces (aces are not face cards). Please show your probability for each choice below.
a) drawing a red five out of a standard 52 card deck given it's not a face card or an ace.
b) rolling a sum of 10 on two fair six sided dice.
c) rolling a sum of 3 on two fair six sided dice.
d) rolling a sum of 7 on two fair six sided dice.
e) drawing a four 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,         

a) drawing a red five out of a standard 52 card deck given it's not a face card or an ace. 

52 - 4aces - 12face cards = 36 possibilities P = 2/36 = 1/18

e) drawing a four out of a standard 52 card deck 

given it's not a face card or an ace.  4/36 = 1/9

b) rolling a sum of 10 on two fair six sided dice. P = 3/36 = 1/12

c) rolling a sum of 3 on two fair six sided dice.  P = 2/36 = 1/18

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

 a,c have equal probabilities of success

___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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