AlmudenaI98968 AlmudenaI98968
  • 03-11-2022
  • Mathematics
contestada

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

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BrynnleeA45779 BrynnleeA45779
  • 03-11-2022

sum of 7:

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

[tex]=6\times\frac{1}{36}=\frac{6}{36}[/tex]

sum of 11:

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

[tex]=2\times\frac{1}{36}=\frac{2}{36}[/tex]

thus the probability is

sum of 7 + sum of 11

[tex]\begin{gathered} =\frac{6}{36}+\frac{2}{36} \\ =\frac{8}{36} \\ =\frac{2}{9} \end{gathered}[/tex]

therefore = 22%

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