Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn.

OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points.
OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points.

Which statement best explains the option he should choose?


A. Simon should choose Option B. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

C. Simon should choose Option B. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

D. Simon should choose Option A. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

Answers

Answer 1

Answer: b. Simon should chose option a. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

Answer 2

Statement B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The probability that the sum of the rolls is a prime number:

P(sum is prime) = 15/36 =0.416

Expected number of points = 0.416×15 =6.25

Probability that f the sum of the rolls is a multiple of 3,

P(sum of rolls is multiple of 3) = 12/36 = 0.33

Expected number of points = 0.33×12 = 3.96

Thus, statement B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options is correct.

Learn more about the probability here:

brainly.com/question/11234923

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Related Questions

The ratio of Warrior fans to Laker fans at a basketball game was 5 to 3. If
there were 21 Laker fans, how many Warrior fans are there

Answers

Answer:

35

Step-by-step explanation:

Create a proportion where x is the number of Warrior fans

[tex]\frac{5}{3}[/tex] = [tex]\frac{x}{21}[/tex]

Cross multiply and solve for x

105 = 3x

35 = x

So, there were 35 Warrior fans

Answer:

[tex] \bf\huge warrior \: fans = 35[/tex]

Step-by-step explanation:

Given that :

The ratio of Warrior fans to Laker fans at a basketball game was 5 to 3.If there were 21 Laker fans.

to find :

how many Warrior fans are there.

let us assume :

warrior fans is X .

explanation :

finding the warrior fans

⟼ warrior : laker fans = 5 : 3 = x : 21

⟼ 5 : 3 = x : 21

⟼ [tex]\frac{5}{3} \times \frac{x}{21} [/tex]

⟼ x = 5 × 7

⟼ x = 35.

⟼ warriors fans = 35.

laker fans is 21 and warriors fan is 35.

warriors : laker fans = 5 : 3 = 35:21.

Which temperature is warmer, -2 degrees Celsius, or -5 degrees Celsius?
-2
-5

Answers

Answer:

-2 is warmer the -5 degrees

Answer:

-2 Celsius

Step-by-step explanation:

The negative degrees in Celsius work the same way as Fahrenheit

The closer the number is to 0 the warmer the temperature is... -2 is closer to 0 than -5

Can someone please help me answer this question asap thank you
Without a link thank you .

Answers

Answer:

-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)

Step-by-step explanation:

My cat, Huckleberry, sneaked out of the house and climbed onto my roof. My dad brought his extension ladder to help get Huckle down. Dad is standing 6 feet from the house, and the angle of elevation from him to Huckleberry is 75 degrees. To what length should the ladder be extended so that Dad can grab Huckle and bring him to safety? Round to the nearest tenth.

Answers


The ladder should be 10 inches in length

10 = g - 19. Please help!!!

Answers

Answer: g = 29

10 = g - 19

add 19 to both sides:

29 = g

flip if u want

g = 29

hope this helped :)

Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, she sold a total of 91 candles and made $572.

how many tall candles did she sell?

how many short candles did she sell?

Answers

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

pls help quickly thank u

Answers

Answer:

Dependant

Step-by-step explanation:

Its dependant because when you take out one chocolate another may fall and take its place.

Which graph best represents the equation 2x + 4y = -8?

Answers

Answer:

y = -1/2x - 2

Step-by-step explanation:

2x + 4y = -8

4y = -2x - 8

y = -1/2x - 2

Please help! If you do you get 'Brainliest'

Answers

Answer:

D

Step-by-step explanation:

when dealing with percentages move the decimal back two to get its absolute value

Which quadrant point (0,2) is located in the coordinate plane

Answers

Answer: It would be on the first quadrant plane or I quadrant

Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps

The sum of Paul’s and Sam’s ages is 4 and the difference between their ages is 0. Two equations to model this situation are x + y = 4 and x - y = 0. The solution represents both of their ages. What quadrant does the solution lie in?

A.) IV
B.) II
C.) III
D.) I

Answers

Answer:

D.) |.

Step-by-step explanation:

x + y = 4

x - y = 0      Adding:

2x + y - y = 4

2x = 4

x = 2

and y = 4 - 2 = 2.

The point (2, 2) is in quadrant |

what two numbers multiply to 10 and add up to 11

Answers

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

Look at the question below

Answers

Choice A has a greater COP

:)

The question is in the image

Answers

Answer:

2.2 miles

Step-by-step explanation:

Coordinates of Joe's home = (2, 3)

Coordinates of the park = (1, 1)

The shortest distance = the distance between the two points

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the shortest distance.

Where,

[tex] (2, 3) = (x_1, y_1) [/tex]

[tex] (1, 1) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(1 - 2)^2 + (1 - 3)^2} [/tex]

[tex] d = \sqrt{(-1)^2 + (-2)^2} [/tex]

[tex] d = \sqrt{1 + 4} [/tex]

[tex] d = \sqrt{5} [/tex]

[tex] d = 2.2 [/tex] (nearest tenth)

Shortest distance between Joe's home and the park = 2.2 miles

Determina el valor de verdad de cada uno de los siguientes enunciados. Justifica tu respuesta

1. Si lim→ () y lim → () existen, entonces lim → () () existe.

Answers

Answer:

nsfd bgvhjbkjn

Step-by-step explanation:

is y=1/4x+1/3 proportional or non proportional

Answers

Answer:

non proportional

Step-by-step explanation:

Claudia works at a sweet shop making chocolate-dipped bananas. Sometimes she drops the chocolate-
dipped bananas before she can get them to the freezer. Claudia earns 20 cents for every frozen banana that
she makes. She loses 5 cents for each frozen banana that she drops. Last Wednesday, Claudia dipped 48
frozen bananas, but not all of them made it to the freezer. She earned a total of $7.60. How many bananas
were dropped and how many made it to the freezer? Define your variables and write a system of
equations representing this situation. Solve the system by using either graphing, substitution, or
elimination.

Answers

Here is the work i did for it!

Please help help me please ASAP
No links or files
This is for brainies

Answers

Answer:

quadrant 2

Step-by-step explanation:

i hope this helps :)

(NO LINKS)!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)

Answers

Answer:

(3+5) = 8 times 8 = 64 64+(8-11)+Z=64+(-3) + Z=62+z= 62+2 = 64

64

Step-by-step explanation:

What is the Mean , Median , Mode , Range for
9,6,7,5,3​

Answers

Answer:

the mean is 6

the median is 6

the mode there is none

the range is 6.

Answer:

There is no mode. (they all appear once)

The lowest number is 3 and the highest is 9, so the range is 6.

The mean is the average, add them all up (30) and divide by the number of data sets (5). The average is 6.

I have to go to dinner so maybe let someone else help with the median? The median is the middle, so you have to order them and find the middle. Hope it helped!

pLEASE HELP ME ASAP FOR 9 AND 10

Answers

Answer:

9)

x^2 + 2x + 1 = (x + 1)^2

10)

x^2 - 6x + 9 = (x - 3)^2

Step-by-step explanation:

To complete the square, add the square of half of the x-term coefficient.

Then use the factoring of a perfect square trinomial.

a^2 + 2ab + b^2 = (a + b)^2

a^2 - 2ab + b^2 = (a - b)^2

9)

x^2 + 2x + 1 = (x + 1)^2

10)

x^2 - 6x + 9 = (x - 3)^2

Cost of shopping trip: $25.00

Find tax amount at 5%

$30.00

$26.25

$1.25

$5.00

Answers

Answer:

$1.25

Step-by-step explanation:

Given: the cost of the shopping trip is $25.00

They want us to find the tax amount at 5%.

Saying that we need to find the 5% of the $25.00.

Convert 5% to 0.05, then take it times 25.

$25 x 0.05 = $1.25

That should give you the 5% of the $25.

If you add $25.00 and the $1.25 together, it should give you $26.25, included with the tax.

Answer:

26.25

Step-by-step explanation:

first we have to add 25.00 plus 5%

Please help! If you do you will get 'Brainliest'

Answers

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

Answer:

answer  (-1) because from a if u minus 2 1/2 u get (-1)

Find the distance between A and B

Answers

The answer to this will be 8

Answer:

11 units

Step-by-step explanation:

Write the equation of the line in slope intercept form that passes through the point (4,7) and is parallel to y = -7x + 8.​

Answers

Answer:

y= -7x + 35

Step-by-step explanation:

(y - 7) = -7(x - 4)

y-7 = -7x + 28

y = -7x + 35

What is the complete factorization of
8y3 – 4y2 + 10y?

Answers

2y(4y^2-2y+5) hope this helps

DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9

Answers

Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

Learn more about the line of best fit here:

https://brainly.com/question/14279419

#SPJ7

Of the marbles in a​ bag, 5 are blue​, 2 are white​, and 2 are yellow. Sandra will randomly choose one marble from the bag.

Answers

Answer:

[tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given that,

A bag contains 5 blue, 2 white and 2 yellow marbles.

We need to find the probability of choosing a white marble from the bag.

Total no. of outcomes = 5+2+2

= 9

No. of white marbles = 2

Required probability,

[tex]P=\dfrac{2}{9}[/tex]

So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].

Use the converse of Pythagorean Theorem to tell what type of triangle this is.

Answers

Answer:

Acute

Step-by-step explanation:

c[tex]c^{2}<a^{2}+b^{2} =Acute\\16^{2}<14^{2}+8^{2} \\252<196+64\\252<260[/tex]

can someone help meeeee plsease porfuis

Answers

Answer:

wal given south given signal pansy

Answer:

wal given south given signal pansy

Step-by-step explanation:

Trust me! Good luck!

Have a good day!
Hope this helped :)

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