An honest coin is tossed 4 times in a row. Find the probability of each of the following events. ​(a) E1​: ​"The coin comes up tails exactly​ twice." ​(b) E2​: ​"All 4 tosses come up the​ same." ​(c) E3​: ​"Exactly one-third of the tosses come up ​." ​(d) E4​: ​"The first 2 tosses come up heads ​."

Answers

Answer 1

Answer:

3/8 ; 1/8 ; 0 ; 1/4

Step-by-step explanation:

Given that:

For a coin toss :

Sample space = {HHTT, HTTT, THTT, TTTT, HHHT, HTHT, THHT, TTHT, HHTH, HTTH, THTH, TTTH, HHHH, HTHH, THHH, TTHH}

Probability = required outcome / Total possible outcomes

a) E1​: ​"The coin comes up tails exactly​ twice."

p(E1) = 6/16 = 3/8

​(b) E2​: ​"All 4 tosses come up the​ same." ​

{TTTT, HHHH}

p(E2) = 2/16 = 1/8

(c) E3​: ​"Exactly one-third of the tosses come up ​head."

1/3 of 4 ; p = 0 ; outcome is not a whole number

​(d) E4​: ​"The first 2 tosses come up heads ​."

P(E4) = 4/16 = 1/4


Related Questions

1/2(10x-6)=4x+10 what is the value of x that makes the equation true?

Answers

Answer:

x=13

Step-by-step explanation:

Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.
Targets hit 111 222 555
Points 333 666 151515
Plot the ordered pairs from the table.
Are Natalie's points proportional to the number of targets she hit?

Answers

Answer:

The answer is A

Step-by-step explanation:

The graph should look like this.

The graph for the points is attached with the answer the graph is linear.

What is an ordered pair?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.

Given that the points are:-

Targets hit    1      2         5

Points           3     6         15

The graph of the point will be linear. The points will come at the linear stage.

The graph of the points is attached with the answer below.

To know more about an ordered pair follow

https://brainly.com/question/11139505

#SPJ2

What is 1 divided by 34

Answers

Answer:1/34

Step-by-step explanation:it is unfactorizable

(that's a line by the 2 not a 12) PLS HELPP

Answers

Answer:

x lessthen or equel to 3/2

Step-by-step explanation:

I’ll mark Brainly! That is if you want it, I put a picture help me out please!

Answers

Answer:

a=-4 b=-2 c=-1 d=1 e=2

Step-by-step explanation:

0.38 is ten times as much as

Answers

Answer:

0.38 is ten times as much as 0.038

How many digits you need to write all 3 digit numbers

Answers

Answer: 720

Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.

• The volume of a cube is 17 cubic inches. What expression represents the length of one side of the cube?
(remember the cube problem from the review yesterday!)
If the volume of a cube is an integer value of cubic inches, when will the length of one side of the cube be
irrational?

Answers

Step-by-step explanation:

The volume of a cube is 17 cubic inches.

The formula used to find the volume of a cube is given by :

[tex]V=x^3[/tex]

x is the side of the cube

[tex]x=(V)^{1/3}\\\\x=(17)^{1/3}\\\\x=2.57\ \text{inches}[/tex]

The fraction that cannot be written in the form of p/q is irrational no. If the cube root a number is not possible, then the length is considered to be irrational.

PLEASE HELP ME WITH THIS QUESTION PLS!!

Answers

Answer:

Okays so John is going 50mph

50 is 1 hour

100 is 2 hours

150 is 3 hours

200 is 4 hours

250 is 5 hours

300 is 6 hours

350 is 7 hours

400 is 8 hours

450 is 9 hours

500 is 10 hours

550 is 11 hours

600 is 12 hours

650 is 13 hours

700 is 14 hours

750 is 15 hours

He will go 750 miles from his starting point in 15 hours

The answer is: 750 miles

I hope this helps you!


What angle is this?

Answers

corresponding angles

The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter
of 80 inches, find the length and width.
I need 2 answers.

Answers

Answer:

Hi there!

Your answer is:

width=15

Length=25

Step-by-step explanation:

L=2w-5

P=80

Perimeter formula

L+L+W+W=P

(2w-5)+(2w-5)+w+w=80

6w-10=80

+10

6w=90

/6

w=15

Plug in width in length formula

L=2w-5

2(15)-5

30-5

L=25


WZ=WZ is what logic property
please help!!

Answers

Answer:

it is b

Step-by-step explanation:

Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean algebra (show your work and write the property you are applying). State if they cannot be simplified.

A. A’B + AB

B. XY + X(WZ + WZ’) the answer is B.

In the interval (41-50), 50 is the
_______limit

Answers

The upper limit is the answer

Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How many packages can rebecca wrap

Answers

Answer:

She will have 8 pieces.

Step-by-step explanation:

Nico and Albert are finishing up a science project. They measured the length in inches of three insects. They also found the average measurement of two more insects from a website. Bug Length Bug Length in inches Lady bug StartFraction 3 Over 8 EndFraction Ant One-fourth Firefly StartFraction 7 Over 8 EndFraction Honeybee 0.8 Deer tick 0.2 Which list shows the lengths from shortest to longest? 0.2, one-fourth, StartFraction 3 Over 8 EndFraction, 0.8, StartFraction 7 Over 8 EndFraction 0.2, one-fourth, StartFraction 3 Over 8 EndFraction, StartFraction 7 Over 8 EndFraction, 0.8 One-fourth, 0.2, StartFraction 3 over 8 EndFraction, StartFraction 7 Over 8 EndFraction, 0.8 0.8, one-fourth, StartFraction 3 Over 8 EndFraction, 0.2, StartFraction 7 Over 8 EndFraction

Answers

Answer:

Step-by-step explanation:

Given the length of the bugs as shown;

Lady bug = 3/8

Ant = 1/4

Firefly = 7/8

Honey bee = 0.8

Deer tick = 0.2

Before we arrange the length in ascending order (shortest to longest), we will have to represent them in percentage.

Lady bug = 3/8×100

= 300/8

= 37.5%

Ant = 1/4×100

Ant = 25%

Firefly = 7/8 × 100

Firefly = 87.5%

Honey bee = 0.8×100

Honey bee = 80%

Deer tick = 0.2×100

Deer tick = 20%

On rearranging in ascending order:

20%, 25%, 37.5%, 80%, 87.5%

Based on the insect

Deer tick, Ant, ladybug, honey bee, Firefly

Based on their length:

0.2, 1/4, 3/8, 0.8, 7/8

Answer:

a

Step-by-step explanation:

got it right on edge 2021

Which building is located in Quadrant​ II?

Answers

The quadrants are labeled with quadrant I (numeral one) and the upper right part is quadrant II (Roman numeral two)

Billy puts $4900 in a bank that pays 6% annually.
How much will be in the bank after 4 years?
Put it in the chart by what he gets every year

Answers

If it's adding to the 4,900 in the bank just add the numbers to 4,900.

After 4 years. 1,176.

Year 1: 294

Year 2: 588

Year 3: 882

Year 4: 1176

Year 5: 1470

Year 6: 1764

The pairs of polygons are similar. Give the scale factor of Figure A to figure B

Answers

Answer:

2/5

Step-by-step explanation:

Use two corresponding sides.

In triangle A, look at the side between 1 mark and 2 marks on the angles. Its length is 10.

In triangle B, look at the side between 1 mark and 2 marks on the angles. Its length is 4.

To find the scale factor from A to B, divide a length in B by its corresponding length is A.

4/10 = 2/5

Answer: The scale factor from A to B is 2/5.

Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.

Recall:

Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.The ratio of any of their corresponding side length = scale factor

Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:

A side length of Figure A = 10Corresponding side length of Figure B = 4

Scale factor of Figure A to Figure B = 10/4 = 5/2

Learn more about similar polygons on:

https://brainly.com/question/2264759

A ramp has a horizontal distance of 10 feet and a vertical rise of 3 feet. Find the length of the ramp. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Tye length of the ramp can be gotten using Pythagoras theorem.

Horizontal distance = 10ft.

Vertical distance = 3ft

Length of the ramp² = 10²+3²

Length of the ramp² = 100+9

Length of the ramp² = 109

L² = 109

L =√109

L = 10.44ft

Hence the length of the ramp is 10.4ft to the nearest tenth

answer please asap and explanation would be appreciated

Answers

The answer is 120 for sure, I believe

(2) 1. To earn money for gifts, Debbie sold decorated pinecones. If she sold 100 pinecones at $0.25 each, how much money did she earn?​

Answers

Answer:

$25

Step-by-step explanation:

100 pinecones sold at $0.25 each is written as 100×.25 or one quarter of 100, which is 25.

19/25 writen as a decimal

Answers

Answer:

0.76

Step-by-step explanation:

0.76 is a decimal and 76/100 or 76% is the percentage for 19/25.

Answer:

0.76

Step-by-step explanation:

you would do 19/25

(to do fractions to decimal, take the top number and divide it by the bottom, dont forget to do mixed number if needed to though!)

Equation is y=1.5x+4 find an answer for:

Write an equation in standard form whose line is less steep and translated down 7 units.

Answers

Answer:

  6x -5y = 15

Step-by-step explanation:

The given line has a slope of 1.5 and a y-intercept of 4. We assume that "translated down 7 units" means the y-intercept needs to be -3. "Less steep" will mean the slope is less than 1.5. We can make the slope be 1.2, so it will be less steep.

Then the slope-intercept form of the desired line is ...

  y = 1.2x -3

Adding 3-y, this becomes ...

  1.2x -y = 3

Multiplying this by 5 to put it into standard form, we have ...

  6x -5y = 15

_____

Additional comment

Since the lines have different slopes, each point on the original line will be translated up or down by a different amount. We chose the y-intercept as the point to be translated by the specified amount. The question could be more clear on that point, as well as whether lines with negative slope (say, -2) are considered to be "less steep."

Which of the following combinations of coins have a value of 140% of a dollar?

140 pennies
14 dimes
10 dimes and 4 nickels
5 quarters and 3 nickels

Answers

Answer:

Step-by-step explanation:

140 pennies is 1 dollar and 40 cents

14 dimes is a dollar equals 140 cents

10 dimes and four nickles equals  75% of a dollar

5 quarters and three nickles equals a dollar and 40 cents

About how many downloads did song 1 have at minute 12?
A. 3200
B. 6100
C. 5500
D. 2500

Answers

Answer:

Answer B. (6100)

Step-by-step explanation:

If you look at the graph, at the 12th minute the song is near 60 in hundreds and the nearest number to that is answer B, therefore my answer is correct. Have a good day :)

B ( 6100 ) hope this helps! :))

at a local zoo, adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720. if the zoo had 420 visitors tgat day, how many adults and how many children visited?

Answers

Answer:

150 adults, 270 kids.

Step-by-step explanation:

We can make a set of equations with the given information:

Adult=X

Kids=Y

3x+1y=720

x=y=420

420-X=Y

3x+420-x=720

2x+420=720 720-420=300

300/2=150

X=150, there were 150 adult visitors which means there are 270 children

Daniel is on vacation. He goes to a shopping mall to buy some keychains for his friends as souvenirs. At the shopping mall, he
spent $3.87 on a sandwich. If each keychain costs $2.28 and he has $20.00 with him, what is the maximum number of keychains he
can buy?
A. 9
B.
10
C. 7
8

Answers

Answer:

7

Step-by-step explanation:

20.00 - 3.87 = 16.13

2.28 x 7 = 15.96

Number of key chain he can buy is 7 keychain

Given that;

Amount spend in shopping mall = $3.87

Cost of each key chain = $2.28

Amount he has = $20

Find:

Number of key chain he can buy

Computation:

Assume;

Number of key chain he can buy = a

So,

2.28a + 3.87 = 20

2.28a = 16.13

a = 16.13 / 2.28

a = 7.074

Number of key chain he can buy = 7

Learn more:

https://brainly.com/question/2583837?referrer=searchResults

Define the word evaluate. in complete sentences

Answers

Answer:

A woman evaluates a gemstone to determine it's value. Licensed from iStockPhoto. verb. To evaluate is defined as to judge the value or worth of someone or something.

I hope It's right. Sorry if it isn't.

Have a wonderful day/night :)

Please help fast please please fast

Answers

Answer:

y^7

Step-by-step explanation:

all you have to do is add y^2 and y^5 together and that gets u y^7

High Hopes^^

Barry-

Answer:

[tex]y^{5}[/tex]×y²=[tex]y^{b}[/tex]

[tex]y^{5+2}[/tex]=[tex]y^{b}[/tex]

b=7

Step-by-step explanation:

divede decimals by a whole number in this question 3.9÷3​

Answers

Answer:

The answer is 1.3, 1 3/10

Answer:

1.3

Step-by-step explanation:

we divide as if it were normal division. we divide 3 by 3 and get 1 and then we bring our decimal point up and finally divide the 9 by 3 and get the answer of 1.3

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