SOLUTION: a standard six faced die and a standard four-faced die are both rolled once the cube’s faces are numbered 1-6 and the tetrahedron ‘s faces are numbered 1-4 what is the probability

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Question 267476: a standard six faced die and a standard four-faced die are both rolled once the cube’s faces are numbered 1-6 and the tetrahedron ‘s faces are numbered 1-4 what is the probability that the sum of the downward – facing faces is grater than 6 ?
Express your answer as a common fraction
Answer by stanbon(75887) About Me  (Show Source):
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A standard six faced die and a standard four-faced die are both rolled once the cube’s faces are numbered 1-6 and the tetrahedron ‘s faces are numbered 1-4 what is the probability that the sum of the downward–facing faces is greater than 6 ?
Express your answer as a common fraction.
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Ways to get a sum greater than 6:
Pairs are (tet face/cube face):
4/6 ; 4/5 ; 4/4 ; 4/3
3/6 ; 3/5 ; 3/4
2/6 ; 2/5 ;
1/6 ;
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# of ways to succeed: 10
# of possible outcomes: 4*6 = 24
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P(sum greater than 6) = 10/24 = 5/12
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Cheers,
Stan H.