Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- One of the two sides of the coin are heads.
- 2 of the 6 sides of the dice are 3 or 6.
Hence, since the coin and the dice are independent, the <em>probability </em>of winning is:
![p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B6%7D)
The expected value is the <u>sum of each outcome multiplied by its respective probability</u>.
In this problem:
probability of earning $30.
probability of losing $6.
Then:
![E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0](https://tex.z-dn.net/?f=E%28X%29%20%3D%2030%5Cfrac%7B1%7D%7B6%7D%20-%206%5Cfrac%7B5%7D%7B6%7D%20%3D%205%20-%205%20%3D%200)
The expected profit of one round of this game is of $0.
A similar problem is given at brainly.com/question/24855677
Answer:
IS 60 DEGRES
Step-by-step explanation:
U TIMES THE ANGLE
Lets get started :)
2 + 2 + x - 7 = 21
11 + x = 21
We have to subtract 11 on both sides to isolate x
11 ( - 11 ) + x = 21 ( - 11 )
11 and 11 cancels out
x = 10
Answer:
m∠B=79°
Step-by-step explanation:
∠A +∠B+∠C+∠D=360°
14x-11+8x+7+5x+18+10x+13=360°
37x+27=360°
37x=333
x=9
so,
m∠B=8x+9
m∠B=8×9+7
m∠B=79°
Hope it helps!
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution