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You roll a fair die three times. What is the probability of each of the​ following? ​a) You roll all 2​'s. ​b) You roll all odd numbers.​ c) None of your rolls gets a number divisible by 3. ​d) You roll at least one 4. ​e) The numbers you roll are not all ​4's.

Respuesta :

Answer:

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2} =\frac{2}{8}[/tex]

[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6} =[/tex][tex]\frac{8}{27}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]

[tex]\frac{8}{27}[/tex]