You are rolling two dice at the same time What is the probability of rolling a sum of 6 or 7?

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Answer 1 · 2016-11-15T07:59:54

The probability #=11/36#

Total number of outcomes #=36#

Event #E# is when the sum of the two dice #=6#

#E={(1,5),(2,4),(3,3),(4,2),(5,1)} #

Total number of outcomes of getting #6# is #=5#

Probability of event #E#

#P(E)=5/36#

Event #F# is when the sum of the two dice #=7#

#F={(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)} #

Total number of outcomes of getting #7# is #=6#

Probability of event #F#

#P(F)=6/36#

Probability of getting a #6# or a #7#

#=5/36+6/36=11/36#