In a game of chance, two fair dice are thrown. If the sum of the two dice is seven, you get paid out $90. If the sum of two dice is a six or an eight, you must pay $90(No money is exchanged for all other sums). How much money would you expect to win or lose, on average, per game?
Answers
You are expected to lose $ 10 on an average per game
How to determine the amount of money you would winTotal outcome = 36Event of sum of 7 = 6Amount per sum of 7 = $ 90Amount won per game =?Probability of sum of 7 = 6 / 36
Probability of sum of 7 = 1 / 6
Amount won per game = (1 / 6) × 90
Amount won per game = $ 15
How to determine the amount of money you would loseTotal outcome = 36Event of sum of 6 = 5Event of sum of 8 = 5Event of sum of 6 or 8 = 5 + 5 = 10Amount per sum 6 or 8 = $ 90Amount lose per game =?Probability of sum 6 or 8 = 10 / 36
Probability of sum 6 or 8 = 5 / 18
Amount lose per game = (5 / 18) × 90
Amount lose per game = $ 25
How to determine your expect earning on an avarge per gameAmount won per game = $ 15Amount lose per game = $ 25Expected earnings =?Expected earnings = Amount won per game - Amount lose per game
Expected earnings = 15 - 25
Expected earnings = -$ 10
Thus, you are expected to lose $ 10 on an average per game
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Related Questions
the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump
Answers
Step-by-step explanation:
Water filled in 20 second = 200 liters
Water filled in 1 second = 200 / 20 = 10 liters
The flow rate of the pump is 10 liters per second.
Hope it will help :)
Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.
The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.
It can be calculated as:
= Amount of water supplied / Time supplied
= 200 / 20
= 10 liters per second
In conclusion, the pump has a flow rate of 10 liters per second.
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I dont rlly understand this problem, can someone help me pls! thx :)
Answers
Answer:
68 i think
Step-by-step explanation:
Step-by-step explanation:
The equation here is,
w° + 124° = 180°
=> w = 180° - 124°
=> w = 56° (Ans)
SOLUTION TO THIS EQUATION
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)
Answers
Answer:
0.114
0.049
Step-by-step explanation:
For the boxes:
Type A - 75% = 0.75
Type B - 20% = 0.2
Type C - 5% = 0.05
For the marbles in each box:
Type A - 2% = 0.02
Type B - 20% = 0.25
Type C - 98% = 0.98
Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:
0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98
= 0.015 + 0.05 + 0.049
= 0.114
The specific chance for box Type C is 0.05 * 0.98 = 0.049
Write as an expression and solve (show your work)
One fourth the difference between 21 and 5
Answers
Answer:hiii
Step-by-step explanatio
find the angle of elevation from c to a
Answers
Answer:
32 Degrees
Step-by-step explanation:
Thank me later lol
Solve for x please help
Answers
Step-by-step explanation:
4x + 2 + 3x + 3 = 180 (straight angle)
4x + 3x + 2 + 3 = 180
7x + 5 = 180
7x = 175
x = 25°
divide 7 by 2 then subtract p from the result.
Answers
Answer:
3.5/p
Step-by-step explanation:
7/2 = 3.5
Answer:
[tex]\frac{7}{2}[/tex]-p is the equation
Step-by-step explanation:
WHO KNOWS HOW TO DO THIS LET ME KNOW
Answers
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
x^2 - 2x factorise fully
Answers
Answer:
(x-2)*x
Step-by-step explanation:
[tex]x^{2}-2x[/tex]
its maximum common divisor is x
[tex]\frac{x^{2}-2x }{x}[/tex]
[tex](x-2)*x[/tex]
5% of a number is 23
Answers
Answer:
460
Step-by-step explanation:
5%(calculated %)of what number equals 23?
Answer is 460
I hope it's helpful!
460 is the answer of the question
Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient
Answers
Answer:
..................................................................................
Step-by-step explanation:
hahaahahah
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answers
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
Solve the proportion 2x+3/3 = 9/27
Answers
Answer:
-0.3333333333
Step-by-step explanation:
nicolas quiere pavimentar el patio rectangular de su nueva casa el patio mide 5,25 m de largo y 3 m dd ancho y necesita 81 baldosas por metro cuadrado ¿cuantas baldosas nesesita nicolas para pavimentar todo el patio ? ¿porque?
Answers
Answer: Me gusta bailar y dibujar
Step-by-step explanation:
9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12
Answers
Answer:
A) 1/50
B) 6/5
C) 1/2
D) 28/25
Which method do you prefer for solving the equation 2^x=16? Explain.
Answers
Answer:
I'd just ask ma.th wa.y but...Yhea
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for
x
Step-by-step explanation:
step 1. 2^x = 16
step 2. ln(2^x) = ln16
step 3. xln2 = ln16
step 4. x = ln16/ln2 = 4ln2/ln2 = 4.
step 5. The method I prefer is using logarithms.
how many terms of arithmetic sequence 3;11;19.... will add up to 1580
Answers
Answer:1.58
Step-by-step explanation:
The number of terms in the sequence will be 20 adds up to 1580.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question, as follows:
3; 11; 19....
We have to determine the number of terms of the sequence will add up to 1580
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
As per the question,
d = 11 - 3 = 8, a = 2 and S = 1580
Substitute the known values in the formula, and solve for n
1580 = n/2(2x3+(n-1)8)
1580 x 2 = n(6 + 8n - 8)
Solving the above equation, we get
n = 20, and -79/4
Thus, the number of terms in the sequence will 20.
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39 is what percent of 82
Answers
Answer:
47.5%
Step-by-step explanation:
39/82 = .475 = 47.5%
Answer:
39 is 47.56% of 82
Step-by-step explanation:
82 is 100% since it is our output value.
divide 39 by 82 to get the answer in decimal form:
39 / 82 = 0.4756
Then multiplied the answer from the first step by one hundred to get the answer as a percentage
0.4756 * 100 = 47.56%
Write 8 and 1/3 % as a fraction in simplified form.
Answers
Answer:
as a fraction i believe it would be 25/3, but correct me if im wrong :)
4(9x + 7) + 6(8 - x)
Answers
Answer:
2(15x+38) and if you simplify it it is 30x+76
Step-by-step explanation:
Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х
Answers
Answer:
10.5miles
Step-by-step explanation:
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answers
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
Oof please help me with geometry
Answers
Answer:
as it a cyclic quadrilateral
its opposite sides sum be 180
z/2+z/4+30=180
2z+z/4=150
3z/4=150...z=200
angles...
b=z/2=200/2=100
d=80
e=200-59=141
c=180-141=39
The median of the data 78,56,22,34,45,56,39,68,54,84 is____
Answers
Answer:
22,34,39,45,54,56,56,68,78,84
Answer: 54,56
Step-by-step explanation:
Since 54 and 56 are in the middle,
In order to find the median you need to arrange the following numbers in ascending order and identify the number in the middle of the order.
In a randomly generated list of numbers from 0 to 8, what is the chance that
each number will occur?
O A 1/8
O B. 1/7
OC. 1/6
O D 1/9
Answers
Answer:
D) 1/9
Step-by-step explanation:
Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for $178?
Answers
Answer: 2070.14
Step-by-step explanation:
Slide the decimal for 24.9 and get 0.249
1853.68 × 0.249 ÷ 12 = $38.46
you have 0.249 as the monthly rate which means dividing it by 12 is a key to your answer
$1853.68 +38.46 + 178.00 = $2070.14
can someone plz help me out
Answers
Step-by-step explanation:
A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.
Maureen filled a bucket with 5/8 of a gallon of water. 1/4 gallon remained how much leaked
Answers
Answer:
3/8 leaked,
Step-by-step explanation:
5/8 - 1/4 = 3/8.
(p+1)x^(2)+(5p-3)x+2p=-3
Answers
Answer:
3.
Step-by-step explanati
Which fraction has a value less than 5-7?
Answers
Answer:
3/4
Step-by-step explanation: