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Gnesinka [82]
3 years ago
6

You are playing a dice game called Noluz against one other person. Each time you play, both players pay a quarter. You win the m

oney if a 1 or 4 shows face up on the die. The other player wins if a 2 or 5 comes up, and the piggy bank gets the money if a 3 or 6 comes up. This money will then be donated to a charity that you pick. What is the expected value per turn for playing Noluz?
Mathematics
2 answers:
Vlad [161]3 years ago
6 0
Assuming a fair die, 
probability of winning 0.25 = (2/6) = 1/3
probability of losing 0.25 = (4/6) = 2/3

Expected win
= sum (proba.*winning)
=0.25*(1/3) + (-0.25)(2/3)
=-0.25/3
= - (1/12) dollars  (negative sign means expecting to lose)
taurus [48]3 years ago
3 0

Answer:

$-0.17

Step-by-step explanation:

Expected value: You're paying $0.25, which means you lose $0.25 initially, or you gain $-0.25.

Then you have a chance to get that $0.25 back, but only if you can land that 1/3 chance of winning.

ExpectedGain = Probability * AmountToGain

EG = 1/3 * 0.25 = 1/12

Now that we know this is the expected gain, lets not forget the amount we spend in the first place:

-0.25 + 0.083 = -0.17 approx.

Hope this helps, please let me know if I made a mistake because I am just now studying this.

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50 POINTS!!!!
mixer [17]

Answer: Option 'B' is correct.

Step-by-step explanation:

since we have given that

Time taken to build a cabinet by Genna = 4 hours.

Time taken to build a cabinet by Claude = 3 hours

Now, time taken by both Genna and Claude to build a cabinet together is to be find.

Work done by Genna is given by

\frac{1}{4}

Work done by Claude is given by

\frac{1}{3}

According to question,

\frac{1}{4}+\frac{1}{3}=\frac{1}{x}\\\\\frac{3+4}{12}=\frac{1}{x}\\\\\frac{7}{12}=\frac{1}{x}\\\\x=\frac{12}{7}\\\\x=1\frac{5}{7}\ hours

Hence, Option 'B' is correct.


7 0
3 years ago
Read 2 more answers
Below are two parallel lines intersecting them
slavikrds [6]

Answer:

56

Step-by-step explanation:

corresponding angle to 56 is also opposite to x which means it is also 56

3 0
3 years ago
What is the solution to the following system ?
zvonat [6]

3x+3y+6z=9
x+3y+2z=5
3x+12y+12z=18


Step 1: use Eq 2 to solve for x
x+3y+2z=5
x= -3y-2z+5
Step 2: Solve for y unsing Eq 1
3x+3y+6z=9
3y= -3x-6z+9
y= -x-2z+3

Step 3: plug in x= -3y-2z+5 to solve for the value of y
y=-x-2z+3
y= (-1)(-3y -2z +5) - 2z+3
y= 3y+2z-5- 2z+3
-2y= -2
y=1

Step 4: plug y= 1 into the x= equation 
x= -3y-2z+5
x= -3(1)-2z+5
x= -2z+2
Step 5:Plug y= 1 and x= -2z+2 into the 3rd equation to solve for z
3x+12y+12z=18
12z= -3(-2z+2)-12(1)+ 18
12z= 6z - 6 - 12 +18
6z= -18+18
6z=0
z=0

Step 6: Plug z in to solve for x
x=-2z+2
x= (-2)(0)+2
x= 2

ANSWER:
x,y,z = 2,1,0
answer choice C

4 0
3 years ago
Which expression is equivalent to 3(m − 3) + 4? 3m + 1 3m − 5 3m + 13 3m − 3
Hatshy [7]
3(m-3)+4=3m-9+4=3m-5
3 0
3 years ago
Read 2 more answers
I need help! ASAP!!!
Arisa [49]

Answer:

<h2>S.A. = 234 mm²</h2>

Step-by-step explanation:

The formula of a surface area of a rectangular prism:

S.A.=2(lw+lh+wh)

l - length

w - width

h - height

We have l = 15 mm, w = 3 mm, h = 4 mm. Substitute:

S.A.=2(15\cdot3+15\cdot4+3\cdot4)=2(45+60+12)=2(117)=234

4 0
3 years ago
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