Alice and Bob play a game that begins with flipping a fair coin twice. If the coin lands heads up on both flips, Bob wins. If the coin lands heads up on only one flip, Alice wins. If the coin lands tails up on both flips, they flip two more times, and this process continues until there is a winner. What is the probability that Bob wins the game?

Answers

Answer 1

Answer:

0.25 (or [tex]\frac{1}{4}[/tex])

Step-by-step explanation:

As the coin is fair, there is an equal chance the coin lands on heads or tails, therefore:

Probability of heads = 0.5 (or [tex]\frac{1}{2}[/tex])

Probability of tails = 0.5 (or [tex]\frac{1}{2}[/tex])

For Bob to win, the coin must land on heads twice, To work this out, we multiply the two events together.

Probability of 2 heads = 0.5 (probability of landing heads up) x 0.5 (probability of landing heads up) = 0.25 (or [tex]\frac{1}{4}[/tex])


Related Questions

please help me and thank you.

Answers

Answer:

[tex]482.5\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]

Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]

Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]

It’s the last one 482.5

hi, i know this is basic math and stuff but I still need some help​

Answers

Answer:

the answer is :

20 for the first figure

12 for the second figure

30 for the last figure

Answers:

Perimeter = 22 cmPerimeter = 22 cmPerimeter = 30 cm

==============================================

Explanation:

The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.

So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).

For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.

It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.

Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?

Answers

Answer: 625 miles

Step-by-step explanation:

100-40=60

so she has 60% for her distance so lets munis 40 from it and add 250 to 250

250+250=500

60-40=20

20 is half of 40 so whats half of 250? its 125

so she drove 625 miles for her road trip 2 and 1/2 a day

"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol

Answers

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45

If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC

Answers

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]

The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there

Answers

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18

Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it take him to earn the rest of what he needs?

Answers

Answer:

it will take him 9 weeks to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get 9.

A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?

Answers

Here you go! I decided to write it down for you. Sorry for the bad handwriting! :)

URGENT PLEASE HELP: Simplify

Answers

Answer:

cot (x)

Step-by-step explanation:

cot x

---------------

cos x  sec x

We know that sec = 1/ cos

cot x

---------------

cos x  1/ cos x

cot x

---------------

1

cot (x)

Answer:

You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.

Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done

Answers

Answer:

gradient of horizontal slope is 0

Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

A. -12/5
B. -4
C. 4

Answers

Answer:

C. 4 is the right answer!

Step-by-step explanation:

How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.

Answers

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

Use elimination to solve the system of equations:

3x + y = 10
- 4x - 2y = 2

Work:

Answers

4
x
+
y

2
z
=
0
4
x
+
y
-
2
z
=
0
,
2
x

3
y
+
3
z
=
9
2
x
-
3
y
+
3
z
=
9
,

6
x

2
y
+
z
=
0
-
6
x
-
2
y
+
z
=
0
x
+
2
y
=
4
x
+
2
y
=
4
,
2
x
+
4
y
=
8
2
x
+
4
y
=
8
3
x
+
y
=
4
3
x
+
y
=
4
,
6
x

7
y
=
2

My grades depend on this question! Please help! Brainliest will be given out for this!​

Answers

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006


Find the surface area and no links

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

John is 8 years younger than Ahmad. If the sum of their ages is 38, how old is John?

Answers

Let x equal Ahmad’s age.
Since John is 8 years younger than Ahmad, the equation would be as follows:

x+x-8=38

Solve for x:

2x-8=38
38+8=46
2x=46
x=23

23 is Ahmad’s age, subtract 8 from this and you’ll get 15 for John’s age.

In the diagram of right triangle ABC, AB = 4 and BC = 7.
What is AC, to the nearest hundredth?
1
5.74
2
5.75
3
8.06
8.08

Answers

Answer:

5.74

Step-by-step explanation:

The value of AC in the given right triangle is 5.74 units.

What is Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².

Given that, the right triangle ABC, AB = 4 and BC = 7.

According to Pythagoras theorem,

AC² = AB²+BC²

AC² = 7²+4²

AC = √33 = 5.74

Hence, The value of AC in the given right triangle is 5.74 units.

For more references on Pythagoras theorem, click;

https://brainly.com/question/343682

#SPJ2

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.

Answers

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?

Answers

Answer:

36

Step-by-step explanation:

6 x 6

Maria needs to be at the airport terminal at 15:20. It will take

2 1/3






hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.

What is the latest time she should leave home?

Give your answer as a time in the 24-hour clock.

Answers

Answer:

12:30

Step-by-step explanation:

Please help me it’s for a quiz

A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.

Answers

Answer:

*cough**cough* Ms. Roth?

Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.

Answers

Answer:

<1

Step-by-step explanation:

pls help me with this problem mam confused

Answers

Answer:

96 yd^2

Step-by-step explanation:

Multiply l • w: 3 • 8 = 24 in

Convert inches to yards using the scale on the right:

24 • 4 = 96 yd^2

Find all the missing elements.
Round to the nearest tenth.
a = 10
b = 7
C = 6
A = [?]°
B = [ ]° C = [ ]°

Answers

Answer:

A= 100.3

B= 43.5

C =36.2

Step-by-step explanation:

Answer:

The answer for Acellus people is

A = 100.3

B = 43.5

C = 36.2

Step-by-step explanation:

Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?

Answers

Answer:

5

Step-by-step explanation:

so we can say that 5 standard deviations include all the data values.

Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart

Answers

Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

¿Cómo expresarías la siguiente cantidad 1149,8x1018, en su equivalencia a notación científica?

Answers

Respuesta:
hay tres respuesta creo en el problema te los dire los tres:
Primero tu pregunta:
Cómo corregirías esta equivalencia?
1149,8 x 10¹⁸ = 1,15 x 10¹⁸
Recordemos:
-en la notacion cientifica no se aproxima, solo se reduce
-Requisito: La notacion cientifica debe estar dentro de los estandares de 1-10
sabiendo esp te dare un ejemplo y asi se te hace mas faci:
1149,8 x 10¹⁸ = 1,15 x 10¹⁸ esta es mal
1149,8 x 10¹⁸ = 114,98 x 10¹⁸ + 1 ( esto se suma xq se movio la coma a la derecha)
PSDT: esta sumando el exponente ese pequeño(yo no puedo ponerlo pequeño xd)
Bueno segun esto avanzamos hasta que cumpla el requisito
y quedaria asi:
1149,8 x 10¹⁸ esta es la forma mala
asi quedaria: 1,1498 x 10 sobre 21 ( arribita del 10 va 21)
Que procedimientos ayudaron a encontrar la respuesta?
-la multiplicacion y division
-la reduccion de numeros
-la notacion cientifica
- la formula del volumen
Porque el volumen se expresa en unidades cubicas?
porque segun se el evolumen abarca 3 dimenciones (largo, ancho y altura) y tiene que haber unamedida por lo cual se expresa en Metro cubico que
Explicación paso a paso:

se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B

Answers

Answer:

i dont know spanish

Step-by-step explanation:

Could someone please help me please ASAP?

Answers

C I think it is c because it is literally like doubling it but I’m not 100% sure but good luck and have a good day
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