Melissa rolls 2 fair dice and adds the results from each. work out the probability of getting a total of 12

Melissa rolls 2 fair dice. The probability of getting a total of 12 is

Solution:

Given, Melissa rolls 2 fair dice and adds the results from each.  

We have to work out the probability of getting a total of 12

The probability of an event is given as follows:

Now, total outcomes = 6 for 1st die 6 for 2nd die = 6 6 = 36.

Now, favourable outcomes = 1 [ since, we have to get a sum of 12, and only one case exists i.e. 6 + 6]

Hence the probability of getting a total of 12 is

based on context clues you gave i'm assuming the answer would be c.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}