Answer:
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
7 * x = 49
x = 49
um i dont really know what you meant but i hope this helps in some way!
1.) 2.5
2.) 3
3.)12.5
Pls give brainliest
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>
In this problem:
- The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is
.
- The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is
![\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B12%7D%20%2B%20%5Cfrac%7B1%7D%7B6%7D%20%5Ctimes%20%5Cfrac%7B11%7D%7B12%7D%20%2B%20%5Cfrac%7B5%7D%7B6%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B12%7D%20%3D%20%5Cfrac%7B1%20%2B%2011%20%2B%205%7D%7B72%7D%20%3D%20%5Cfrac%7B17%7D%7B72%7D)
- In the other cases, Ayo wins £1.40, with
probability.
Hence, his expected profit for a single game is:
![E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583](https://tex.z-dn.net/?f=E%28X%29%20%3D%20-6%5Cfrac%7B1%7D%7B72%7D%20-%203%5Cfrac%7B17%7D%7B72%7D%20%2B%201.4%5Cfrac%7B54%7D%7B72%7D%20%3D%20%5Cfrac%7B-6%20-%203%2817%29%20%2B%2054%281.4%29%7D%7B72%7D%20%3D%200.2583)
For 216 games, the expected value is:
![E = 216(0.2583) = 55.8](https://tex.z-dn.net/?f=E%20%3D%20216%280.2583%29%20%3D%2055.8)
Ayo can be expected to make a profit of £55.8.
To learn more about expected value, you can take a look at brainly.com/question/24855677
The answer is 6133.5! Hope this helps!