Answer:
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
Step-by-step explanation:
Expected dollar value:
Probability of each outcome multiplied by it's monetary outcome.
Outcomes:
45% probability of winning $100.
45% probability of losing $100.
10% probability of losing $10.
What is the expected dollar value for a person playing this game?
![E = 0.45*100 - 0.45*100 - 0.1*10 = -1](https://tex.z-dn.net/?f=E%20%3D%200.45%2A100%20-%200.45%2A100%20-%200.1%2A10%20%3D%20-1)
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
X= 7 I already solve it before check other questions.
So,
5 - 9w = 1 + 3w
Add 9w to both sides (for convenience).
5 = 1 + 12w
Subtract 1 from both sides.
4 = 12w
Divide both sides by 12.
![\frac{4}{12} \ or \ \frac{1}{3} =w](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B12%7D%20%5C%20or%20%5C%20%20%5Cfrac%7B1%7D%7B3%7D%20%3Dw)
S = {
![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20)
}
![\blue{\bold{\underline{\underline{Answer:}}}}](https://tex.z-dn.net/?f=%5Cblue%7B%5Cbold%7B%5Cunderline%7B%5Cunderline%7BAnswer%3A%7D%7D%7D%7D)
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7 + 8 + 5 = 20 total marbles
8 blue
probability of picking a blue marble = 8/20, reduces to 2/5 = 0.40
since she puts the first marble back, the 2nd pick is the same probability as the first one
so the probability of picking 2 blue would be 0.40 x 0.40 = 0.16