Calculate the probability of winning: Roll two standard dice. You win if you get a sum of 4 or get a sum of 8. Round answer to one decimal place, for example if your answer is 0.65 enter 0.7

Respuesta :

SOLUTION

The possible outcomes for sum of numbers when rolling two dice is shown

The total possible outcome is 36

The possible number of outcome of obtaining a 4 is 3

Therefore the probability of getting a sum of 4 is

[tex]\frac{3}{36}=\frac{1}{12}[/tex]

The possible number of outcome of obtaining a 8 is 5

Therefore the probability of getting a sum of 8 is

[tex]\frac{5}{36}[/tex]

Hence the probability of getting a sum 4 or a sum of 8 is

[tex]\frac{1}{12}+\frac{5}{36}[/tex]

This gives

[tex]0.2[/tex]

Therefore the probability of getting a sum 4 or a sum of 8 is 0.2

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