1. in a board game, you must roll two 6-sided number cubes. you can only start the game if you roll a 3 on at least one of the number cubes.

(a) make a list of all the different possible outcomes when two number cubes are rolled

(b) what fraction of the possible outcomes is favorable?

(c) suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? explain.

The list
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

The favorable combinations are any with a 3 in them
There are a total of 11 with 3
so there are 11 favorable combinations
The fraction is 11/36

To find how many out of 100 do
100/36= 2.777...which rounds to 3
3×11=33
If you rolled the dice 100 times you would expect at least one 3 more or less than 34 times

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote