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.

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)

(7)     First roll   and     Second roll    and    Third roll

(8)     First roll   and    Second roll

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.