Step-by-step explanation:
Assume that

hence,

now,

attached below is the complete solution
If you take a moment and solve each equation (find the value
of the letter in each one), it'll jump out at you.
Here, let me do it for you. Why should you tire yourself.
5x = 20 . . . . . x = 4
4b = 7 . . . . . . b = 7/4
8w = 32 . . . . . w = 4
12y = 48 . . . . . y = 4
The second equation is not like the others.
It's the only one where the letter is not equal to 4 .
Answer:
The expected monetary value of a single roll is $1.17.
Step-by-step explanation:
The sample space of rolling a die is:
S = {1, 2, 3, 4, 5 and 6}
The probability of rolling any of the six numbers is same, i.e.
P (1) = P (2) = P (3) = P (4) = P (5) = P (6) = 
The expected pay for rolling the numbers are as follows:
E (X = 1) = $3
E (X = 2) = $0
E (X = 3) = $0
E (X = 4) = $0
E (X = 5) = $0
E (X = 6) = $4
The expected value of an experiment is:

Compute the expected monetary value of a single roll as follows:
![E(X)=\sum x\cdot P(X=x)\\=[E(X=1)\times \frac{1}{6}]+[E(X=2)\times \frac{1}{6}]+[E(X=3)\times \frac{1}{6}]\\+[E(X=4)\times \frac{1}{6}]+[E(X=5)\times \frac{1}{6}]+[E(X=6)\times \frac{1}{6}]\\=[3\times \frac{1}{6}]+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]\\+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]+[4\times \frac{1}{6}]\\=1.17](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20x%5Ccdot%20P%28X%3Dx%29%5C%5C%3D%5BE%28X%3D1%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D2%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D3%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%2B%5BE%28X%3D4%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D5%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5BE%28X%3D6%29%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%3D%5B3%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B0%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%2B%5B4%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%3D1.17)
Thus, the expected monetary value of a single roll is $1.17.