1
View NON-CALC.
Sam plays a game with a fair dice.
if he rolls a 1 or 2 he rolls again
if he rolls a 3 he wins
If he rolls a 4,5 or 6 he loses.
When he has to roll again,
if he rolls a factor of 6 he wins
If he rolls a number which is not a factor of 6 he loses,
a) Complete the tree diagram,
First roll
Second roll
Not a factor of 6
1 or 2
Factor of 6
DI
3
4,5 or 6
b) Is Sam more likely to win or lose?
You must calculate the probability he wins.

Answers

Answer 1

Answer:

The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.

For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.

For p=5/36, that's

(536)25+636=2511⋅36,

and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is

836+236(2511+1610+99)=244495=12−7990≈12−0.007.

Step-by-step explanation:

Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:

p(4)=336+2736p(4),so thatp(4)=13.

Repeat this reasoning for the other outcomes and then compute the total probability of winning as:

ptot=836+336p(4)+436p(5)+…


Related Questions

34x 10% discount. What the absolute FLIP
is the answer.

Answers

Answer:

You would pay $30.6, and the discount would be $3.4

Step-by-step explanation:

Because it is a 10% discount, you will only have to pay 90%. So: 0.9*34=30.6

Another way to solve it would be to calculate 10%, which would be 3.4, so 34-3.4=30.6

write f(2)=3 in coordinate
form (x,y)

Answers

Answer:

Coordinate  form is [tex](x,y)=(2,3)[/tex]

Step-by-step explanation:

Usually the form is

[tex]f(x)=y[/tex]

Here

We have [tex]f(2)=3[/tex]

Hence [tex](x,y)=(2,3)[/tex]

A school bookstore has the following items for sale.

A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.

Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.

$
11.56


Part B
Traci uses partial products to find the cost of 14 pencils.

A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.

Which explains whether or not Traci’s partial products are correct?



Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.



Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.



Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.



Traci's partial products are correct. The actual cost is $22.40.

Answers

It’s cost a total of 8 dollars

Plzzzz help meee plzzzzzzz

Answers

Answer:

the answer is d

Step-by-step explanation:

The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?

Answers

Answer:

6 inches.

Step-by-step explanation:

If the width is x inches then the length is x + 3.

S0

Perimeter = 2x + 2(x +3)

18 = 2x + 2x + 6

4x = 18 - 6 = 12

x = 3.

So the length = 6 inches.

Perimetre = 18 inch

Let the width be x

length = x+3

Perimetre of rectangle = 2(length+width)

18 = 2[(x+3)+x]

18 = 2(2x+3)

18 = 4x+6

4x = 18 - 6

4x = 12

° x = 12/4 = 3

Length = x+3 = 3+3 = 6

° The length of rectangle is 6 inch.

Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.

If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.​

Answers

Here is the remainder for both. No the remainders are not equal.

There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?

Answers

We will have 16 white counters in the bag.

Given that there are  blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:

Total = 16 + 3 + 2Total  = 21

If there are 112 more blue counters than white counters, then;

number of blues = number of white + 112

16x = 2x + 112

14x = 112

x = 8

Number of white counters = 2x = 2(8) = 16

Therefore we will have 16 white counters in the bag.

Learn more on ratios here: https://brainly.com/question/2914376

Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get

Answers

Answer:

12.55

Step-by-step explanation:

what is the equation of a line that passes through the points (0,0) and (5,2)

Answers

Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

21. Here are the ingredients for raspberry ripple ice cream.
250g raspberries
225g caster sugar
2 large eggs
4 large egg yolks
600ml double cream
A mother has 5 litres of cream to make ice cream for a party. Sugar comes in 1kg bags.
How many bags of sugar will be needed?

Answers

Answer:

10 bags for 5 litres of cream of ice cream.

2  bags of sugar will be needed.

What are comparing quantities?

Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.

here, we have,

It is given that,

600ml of  cream requires = 225g of sugar

⇒  1 ml of  cream requires = 225/600g of sugar

⇒ 5000ml of  cream requires = 225/600 * 5000g of sugar

                                                  = 1875g

                                                  =1.875 kg

Hence we see that , Sugar comes in 1kg bags.

Similarly, 1.875kg of sugar = 1kg bag + 0.875kg bag

⇒ 2 bags of sugar is needed.

Therefore, 2  bags of sugar will be needed.

To learn more about Comparing quantities :

brainly.com/question/1572596

#SPJ2

Write the inequality that represents the solution set to the given inequality below.

|x−3|<15

Group of answer choices

12 x>−18


−12>x>18

Answers

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

B. Does x = 5 satisfy the equation above. Explain?

C. is x =1/2 a solution of the equation above? Explain? ​

Answers

Answer:

B

Step-by-step explanation:

3(x +1) =3x +3

Plug it in

3(5+1)=3(5)+3

3(6)=15+3

18=18

which option has the greater slope
A.y=3x+2
B the picture below

I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!​

Answers

Answer:

A. Y=3x+2

Step-by-step explanation:

Y=mx+c

m - slope coefficient of x

and so you can easily find the slope if you are asked directly like this seen in option A.

the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1

m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.

as you can now see, the slope from the pic which is 1/3 is less than that of option A.

Determine which have two variables that represent a proportional relationship. Explain your reasoning

Answers

Answer:

Step-by-step explanation:

Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx.   the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

In the image shown, line n is a transversal cutting parallel lines 1 and m. Angle 2= 2x+50 Angle 8= x+76. What is the measure of angle 2?
A. 102
B. 104
C.105
(there is no D btw :))

Answers

B 104 I just took that

Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*

Answers

Answer:

unit rate 1:8

Step-by-step explanation:

4➗64
4 divided by 64

Answers

Answer:

The answer for your problem will be 0.0625

What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.

Answers

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

P = 2(L + W)

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508

Help for brainliest plz

Answers

Answer:

oh uhm that is 3,4 <3

Step-by-step explanation:

It will be 3,4 that will be your answer

SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!

Answers

X^2-x-11=-x-7
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up

Please help me..........

Answers

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer

Answers

Answer:

2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0

Step-by-step explanation:

i have no idea what math this is or what its looking for so please comment how to improve the answer


[tex]8a⁴ × (9a)⁴ [/tex]

find the value of it
8a⁴ × (9a)⁴ ​

Answers

8a⁴ × (9a)⁴= 8a⁴ × 9⁴a⁴= 8a⁴ × 6561a⁴[tex]= (8 × 6561) a ^{4 + 4} [/tex][tex]= 52488 a ^{8} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Dan made 85% of his free throws. If he took 45 shots how many did he make?

Answers

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

Answer:  38

Work Shown:

85% = 85/100 = 0.85

85% of 45 = 0.85*45 = 38.25

Rounding to the nearest whole number, we get the result 38

As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.

What is the slope of the following line?

Answers

the answer is y= - (1/2) x +2

Answer:

1/2

Step-by-step explanation:

becase 1(0,0) 2(2,1) = 1/2

estimate the area of the following irregular shapes
will give brainliest.

Answers

Answer: You just need to count the shaded squares, and if half of the square is shaded, it counts as 1. Therefore, the area is 42 square units.

If f(x) = â’2 8, what is f(â’1. 8)? 4 6 10 12.

Answers

Answer:

f(x) = [x] - 2 + 8

[x] is the notation for 'greatest integer function'

f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4

The answer is 4

Step-by-step explanation:

The value of the function  f(x) = [x] - 2 + 8 when x = -1.8 is 12

Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)

To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:

f(-1.8) = -1.8 - 2 + 8

f(-1.8) = -3.8 + 8

f(-1.8) = 11.8

Since x is in a square bracket, we will round the value up to the nearest whole number, hence;

f(-1.8) = 12

Therefore the value of the function  f(x) = [x] - 2 + 8 when x = -1.8 is 12

Learn more on functions here; https://brainly.com/question/10439235

Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Answers

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

Please help in this!

Answers

Step-by-step explanation:

Correct option is C)

41−

21+

19−

9

=

41−

21+

19−3

=

41−

21+

16

=

41−

21+4

=

41−

25

=

41−5

=

36

=6

[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]

Answer:

a) 6

Hope you could get an idea from here.

Doubt clarification - use comment section.

Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2


Answers

Answer:

the 3rd one is not linear

y= x to the 2nd power

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