If there only one person then the total would be $40.25
zero
double - is actually plus
The expected value of the game is $8.75.
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- The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The probability of spinning a 2 and a vowel is:
. - Thus,
probability of getting $50.
- The probability of spinning 2 and a consonant is:
![\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%20%5Cfrac%7B6%7D%7B8%7D%20%3D%20%5Cfrac%7B6%7D%7B32%7D)
- Thus,
probability of getting $25.
- The probability of spinning 1 and a vowel is:
. - Thus,
probability of getting $5.
- 32 - (6 + 6 + 2) = 18, thus,
probability of earning $0.
The expected value is:
![E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B2%7D%7B32%7D%2850%29%20%2B%20%5Cfrac%7B6%7D%7B32%7D%2825%29%20%2B%20%5Cfrac%7B6%7D%7B32%7D%285%29%20%2B%20%5Cfrac%7B18%7D%7B32%7D%280%29)
![E = \frac{100 + 150 + 30}{32}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B100%20%2B%20150%20%2B%2030%7D%7B32%7D)
![E = \frac{280}{32}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B280%7D%7B32%7D)
![E = 8.75](https://tex.z-dn.net/?f=E%20%3D%208.75)
The expected value of this game is of $8.75.
A similar problem is given at brainly.com/question/24961584
Answer:
12
Step-by-step explanation:
Step-by-step explanation:
![\frac{3x}{x + 1} \div (x + 1) \\ \\ = \frac{3x}{x + 1} \times \frac{1}{(x + 1) } \\ \\ = \frac{3x}{ {(x + 1)}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7Bx%20%2B%201%7D%20%20%5Cdiv%20%28x%20%2B%201%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3x%7D%7Bx%20%2B%201%7D%20%20%5Ctimes%20%20%20%5Cfrac%7B1%7D%7B%28x%20%2B%201%29%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3x%7D%7B%20%7B%28x%20%2B%201%29%7D%5E%7B2%7D%20%7D%20)