Question

help!!!!!!!!!!!!!!!!!!

Answer 1

Olivia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:

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

Based on the sample space, what is the probability of getting a total of 10?

Answer 2

First off, count how many ordered pairs there are in total

Answer 3

Then, count how many of those ordered pairs have a sum of 10

Answer 4

Lastly, write it as a fraction and simplify

Answer 5

can you help me

Answer 6

Sure!

Answer 7

How many outcomes have a sum of 10?

\((1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)\)
\( (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)\)
\( (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)\)
\( (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), \color{red}{(4, 6)}\)
\( (5, 1), (5, 2), (5, 3), (5, 4), \color{red}{(5, 5)}, (5, 6)\)
\( (6, 1), (6, 2), (6, 3), \color{red}{(6, 4)}, (6, 5), (6, 6)\)

Answer 8

There are 36 ordered pairs total

Answer 9

yes

Answer 10

3 of which have a sum of 10

Answer 11

\[\frac{ 3 }{ 36 }\]

Answer 12

Simplify that and you have your answer

Answer 13

thanks

Answer 14

You're welcome!