IF a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20, The cost to play is $5. What is the expectation of this game?
Answers
The gambler can expect to lose $3.06 per play on average.
what is Sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
The sample space for rolling two 6-sided dice, there are 36 possible outcomes
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
The possibility of getting sum of three is (1,2) and (2,1)
and, The possibility of getting sum of ten is (4,6), (5,5), and (6,4)
Thus, the expected winning on a role is
= (2/36) x 20 + (3/36) x 10
= $1.94
If the gambler paid $5 which means
= -$5 +$1.94
= -3.06
Hence, The gambler can expect to lose $3.06 per play on average.
Learn more about sample space here:
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Related Questions
PLS HELP BRAINLIEST WILL BE GIVEN TO FIRST ANSWER!
Solve the rational equation x over 5 equals x squared over quantity 4x plus 2 and check for extraneous solutions.
x = 0; x = −2 is an extraneous solution
x = 2; x = 0 is an extraneous solution
x = 0 and x = 2
x = 0 and x = −2
Answers
Answer:
(C) x = 0 and x = 2Step-by-step explanation:
Given equation:
x/5 = x²/(4x + 2)Cross multiply and simplify:
x(4x + 2) = 5x²5x² = 4x² + 2xx² - 2x = 0x(x - 2) = 0x = 0or
x - 2 = 0 ⇒ x = 2Correct choice is C
[tex]\\ \sf\longmapsto \dfrac{x}{5}=\dfrac{x^2}{4x+2}[/tex]
[tex]\\ \sf\longmapsto x(4x+2)=5x^2[/tex]
[tex]\\ \sf\longmapsto 4x^2+2x=5x^2[/tex]
[tex]\\ \sf\longmapsto x^2-2x=0[/tex]
[tex]\\ \sf\longmapsto x(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=0\:or\:x=2[/tex]
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
The square root of 61 is 7.81024967591 so it is an irrational number.
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Answers
y = -4, -3, -2, -1, 0, 1
Step-by-step explanation:
-5 < y < 2
y = -4, -3, -2, -1, 0, 1
-5 < -4, -3, -2, -1, 0, 1 < 2 ☑
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Answers
Answer:
12 peopleStep-by-step explanation:
hope it helps you52 – 2g = 30
Complete the missing value in the solution to the equation.
(8.
)
Answers
Answer:
The answer is 5
Step-by-step explanation:
Since we already know what x we can just substitute it.
5(8)-2y=30
5 times 8 is 40
40-2y=30
Subtract 40 on both sides:
-2y=-10
Divide -2 on both sides:
y=5
Hope this helps!
And who is your bias for BTS?
(Edit) answer is 5 I guess
Answer:
g=11
Step-by-step explanation:
What I did was Isolate the variable by dividing each side by factors that don't contain the variable.
Set the equation equal to zero and factor the left side.
The factor answer would be 2(−g+11)=0
Mr. Lopez ' company is losing $50 per day. Does this graph have a slope that represents this rate?
Answers
Answer:
k=(1000-600)/(0-10)=-40
Step-by-step explanation:
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Answers
Answer: Well, the ratio is 2.5, so that, I think.
Step-by-step explanation:
What are some decimals for 9/2 other than 4.5
Answers
Answer:
1.4953
Step-by-step explanation:
You will need to break down 4.5
4√5
1.4953
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This is because 1/10 equal 0.-
Step-by-step explanation:
7.1
7⅒(C).
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Answer:
678.74
that might be the question since I don't really understand what it says really
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Answer:
Down Here ↓↓↓↓↓
Picture Attached
Step-by-step explanation:
P is 1 1/4 units to the left of 0
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Q is 1/4 units to the right of 0
S is 1/4 units to the left of 0
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Answers
Answer:
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Step-by-step explanation:
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find out x please fast please fast
Answers
Answer:
[tex]5 {x}^{2} + 3 {x}^{2} + 6x = 3x - 6x + 9x \\ 8 {x}^{2} + 6x = - 3x + 9x \\ 8 {x}^{2} + 6x = 6x \\ 8 {x}^{2} = 6x - 6x \\ 8 {x}^{2} = 0 \\ x = 0 \\ thank \: you[/tex]
HELP MEEEEEEEEEE PWEEEEEEEEEEEEEEEEEZZZZZZZZZZZ
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Answer:
the difference is 429
Step-by-step explanation:
you round 689.7 to 690 the minus that by 261, then you get 429.
Answer:
429
Step-by-step explanation:
689.7 - 261 = 428.7
answer approximated is 429
The length of the side of a square whose area is 225 m² is _____.
Answers
Answer:
15
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
you would have to find the square root of 225 and this is 15 so if you do 15x15 you will get 225
and if you need to find the perimeter you add up all the sides
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Answers
We need mean .
Let's use python .
Program attached
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[tex]{ \rm{mean = \frac{ \sum(fn)}{n} }} \\ [/tex]
• substitute and solve:
[tex]{ \rm{mean = \frac{112 + 114 + 115 + 120 + 122 + 290}{6} }} \\ \\ { \rm{mean = \frac{873}{6} }} \\ \\ { \boxed{ \rm{ \: center = 145.5 \: }}}[/tex]
What is the distance between two points with coordinates (32,12,5) and (20,3,13) in space?
Answers
The distance between two points with the given coordinates in space is;
Distance = 17 units
We are given the coordinates;
(32, 12, 5)
(20, 3, 13)
Formula for the distance between two points that have (x, y, z) coordinates is;d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
From the equation given to us, we can see that;
x₁ = 32
x₂ = 20
y₁ = 12
y₂ = 3
z₁ = 5
z₂ = 13
Using the formula for the distance, we have;d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)
d = √(144 + 81 + 64)
d = √289
d = 17
Thus, the distance between the two points is 17 units
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Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model
shown for each question using the ratio given. Then, calculate your answer from the model and explain you
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How many pairs of socks are brown in a package of 10 pairs of socks?
Answers
Answer:
brown = 6 pairs
Step-by-step explanation:
3/5 = brown
2/5 = black
Ratio black brown therefore = 2 : 3
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Answers
Answer:
y=2x+7
Step-by-step explanation:
find (-5,-3)
use the slope to find the y intercept
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Answers
Answer:
-1
Step-by-step explanation:
F(x - 1) = 2x + 3.
Rewrite the right side (2x + 3)
F(x - 1) = 2[ x ] + 3
F(x - 1) = 2[ x - 1 + 1 ] + 3 = 2 [ (x - 1) + 1 ] + 3
= 2 (x - 1) + 2 + 3
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replace "x - 1" with "-3" :
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Answers
Answer:
[tex]15.2~mph[/tex]
Step-by-step explanation:
Let the time flown by the flying carpet be [tex]t[/tex]. Then, we have that [tex](2.4)/t=(1.4)/t+2*4[/tex].
We multiply both sides of the equation by [tex]t[/tex] to get [tex]2.4=1.4+8t[/tex].
We subtract [tex]1.4[/tex] from both sides to get [tex]1=8t[/tex].
We divide both sides of the equation by [tex]t=1/8[/tex].
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is [tex](2.4)/(1/8)=19.2[/tex]mph.
The speed against wind is [tex](1.4)/(1/8)=11.2[/tex]mph.
The speed in still wind is [tex](19.2+11.2)/2=(30.4)/2=15.2[/tex].
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The speed of the flying carpet in still air is 15.2 mph
Let x represent the speed of the flying carpet in still air, and t represent the time.
Speed = distance/time
Since the wind speed is 4 mph, hence:
When flying with the wind:
x + 4 mph = 2.4/t (1)
When flying against the wind:
x - 4 mph = 1.4/t (2)
Dividing equation 1 by 2 gives:
(x + 4) / (x - 4) = 2.4/1.4
1.4x + 5.6 = 2.4x - 9.6
x = 15.2 mph
The speed of the flying carpet in still air is 15.2 mph
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I NEED BOTH THESE QUESTIONS ANSWERED PLZZZZZZZZZZZZZZZZZZZ
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Answer:
1) 1050 ft squared
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Step-by-step explanation:
Hope this helps! Pls give brainliest!
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Answers
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