well 6 out of 42 is 1/7
double 42 and get 84.
Now to keep it even, you have to multiply 6x2
Let
be the random variable representing the winnings you get for playing the game. Then

First thing to do is determine the probability of each of the above events. You roll two dice, which offers 6 * 6 = 36 possible outcomes. You find the probability of the above events by dividing the number of ways those events can occur by 36.
- The sum is odd if one die is even and the other is odd. This can happen 2 * 3 * 3 = 18 ways. (3 ways to roll even with the first die, 3 ways to roll odd for the die, then multiply by 2 to count odd/even rolls)
- The sum is 4 if you roll (1, 3), (2, 2), or (3, 1), and the sum is 8 if you roll (2, 6), (3, 5), (4, 4), (5, 3), or (6, 2). 8 ways.
- The sum is 2 if you roll (1, 1), and the sum is 12 if you roll (6, 6). 2 ways.
- There are 36 total possible rolls, from which you subtract the 18 that yield a sum that is odd and the other 10 listed above, leaving 8 ways to win nothing.
So the probability mass function for this game is

The expected value of playing the game is then
![E[W]=\displaystyle\sum_ww\,P(W=w)=\frac92+\frac89-\frac29+\frac{49}{18}=\frac{71}9](https://tex.z-dn.net/?f=E%5BW%5D%3D%5Cdisplaystyle%5Csum_ww%5C%2CP%28W%3Dw%29%3D%5Cfrac92%2B%5Cfrac89-%5Cfrac29%2B%5Cfrac%7B49%7D%7B18%7D%3D%5Cfrac%7B71%7D9)
or about $7.89.
"Line L has an undefined slope" so line L is any vertical line.
Anything perpendicular to this vertical line will be horizontal. So line M is horizontal.
Horizontal lines are of the form y = k for some fixed number k. The only thing that fits is choice B) y = 7 where k = 7 in this case.
Choice A graphs out a diagonal line, choice C graphs a vertical line, while choice D graphs out a hyperbola. These facts are why we can eliminate these non-answers.
Answer: Choice B) y = 7
Answer:
slope: 5
y intercept: 5
Step-by-step explanation:
5x-y=-5
y = 5x + 5
y = mx + b m: slope b: y intercept
m = 5
b = 5