09linda
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6. Find the probability that the sum is 6 or that a double is rolled (doubles are 1 & 1, 2 & 2,3 & 3,
etc).
Use the following for problems 7 & 8. A single fair six-sided die is rolled.
7.
Find the probability that three rolls of the dice result in 5's.
8. Find the probability that the first roll results in a 2 and the second roll results in a 3.

Answer :

tramserran

Answer:   [tex]\bold{(6)\ \dfrac{5}{18}\qquad (7)\ \dfrac{1}{216}\qquad (8)\ \dfrac{1}{36}}[/tex]

Step-by-step explanation:

(6)      Sum is 6             or     doubles are rolled    minus duplicates

(1,5) (2,4) (3,3) (4,2)(5,1)  + (1,1)(2,2)(3,3)(4,4)(5,5)(6,6) - (3,3)

      [tex]\dfrac{\# of\ outcomes}{total\ possible\ outcomes}=\dfrac{6}{36}+\dfrac{5}{36}-\dfrac{1}{36}=\dfrac{10}{36}\rightarrow\large\boxed{\dfrac{5}{18}}[/tex]

(7)     First roll   and     Second roll    and    Third roll

     [tex]\dfrac{\# of\ outcomes}{total\ possible\ outcomes}=\dfrac{1}{6}\times \dfrac{1}{6}\times \dfrac{1}{6}=\large\boxed{\dfrac{1}{216}}[/tex]

(8)     First roll   and    Second roll

     [tex]\dfrac{\# of\ outcomes}{total\ possible\ outcomes}=\dfrac{1}{6}\times \dfrac{1}{6}=\large\boxed{\dfrac{1}{36}}[/tex]

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