SOLUTION: if two dice are thrown , what are the various total number of dots that may turn up? what are the probabilities of each of them?

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Question 1106729: if two dice are thrown , what are the various total number of dots that may turn up? what are the probabilities of each of them?

Answer by dkppathak(439) About Me  (Show Source):
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if two dice are thrown , what are the various total number of dots that may turn up? what are the probabilities of each of them?
when two dice are thrown total events will be 6^2=36
total number of dots 2 will be 1 events(1,1) p=1/36
total number of dots 3 will be 2 events(1,2)(2,1) p=2/36=1/18
total number of dots 4 will be 3events(1,3)(2,2)(3,1) p=3/36=1/12
total number of dots 5 will be 4 events(1,4)(2,3)(3,2)(4,1)
p=4/36=1/9
total number of dots 6 will be 5 events (1,5)(1,4)(2,3)(3,2)(4,1)(5,1)p=5/36
total number of dots 7 will be 6 events(1,6)(2,5)(3,4)(4,3)(5,2)(6,1) p=6/36=1/6
total number of dots 8 will be 5 events (2,6)(3,5)(4,4)(5,3)(6,2)p=5/36
total number of dots 9 will be 4 events(3,6)(4,5)(5,4)(6,3) p=4/36=1/9
total number of dots 10 will be 3 (4,6)(5,5)(6,4)
events p=3/36=1/12
total number of dots 11 will be 2 vents(5,6)(6,5) p=2/36=1/18
total number of dots 12 will be 1 events(6,6) p=1/36