SOLUTION: what is the probability of getting a sum of 6 or at least one 4 in the roll of a pair of dice?

Algebra.Com
Question 866860: what is the probability of getting a sum of 6 or at least one 4 in the roll of a pair of dice?
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
There are 36 possible outcomes for a pair of dice.
There are 5 possible outcomes that sum to 6 : (1,5) (2,4) (3,3) (4,2) (5,1)
There are 11 possible outcomes with at least one 4:(1,4) (2,4) (3,4) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,4) (6,4)
There are 2 possible outcomes that are in both lists: (2,4) (4,2)
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

P(sum6  0r a four)= 5/36 + 11/36 - 2/36

___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

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) 



 

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