Question

If you toss two dice, what is the probability that the sum of the dots is either 7 or 11?

Answer 1

sum of 7:

there are 6 combinations: (1,6) (6,1) (2,5) (5,2) (3,4) and (4,3)

`=6*(1)/(36)=(6)/(36)`

sum of 11:

there are 2 combinations: (5,6) and (6,5)

`=2*(1)/(36)=(2)/(36)`

thus the probability is

sum of 7 + sum of 11

`\begin{gathered} =(6)/(36)+(2)/(36) \\ =(8)/(36) \\ =(2)/(9) \end{gathered}`

therefore = 22%