If a fair coin is tossed twice the possible outcomes are HH, HT, TH or TT, where HH means both tosses are heads and HT means that the first toss is a head and the second toss is a tail, etc. Since the coin is fair, a 50-50 chance of getting a head or a tail, we assign a probability of 1/4 to each of the four outcomes. Assuming that a fair coin was tossed twice, find the probability that both tosses were heads given that at least one of the tosses was a head. Round your answer to 4 decimal places.

Answers

Answer 1

The conditional probability value rounded to 4 decimal places is : 0.2500

The relation can be used to find the conditional probability of events given :

P(HH | Atleast 1 head) = P(HHn(Atleast 1 H)) / P(Atleast 1 H)

P(Atleast 1 H) = P(HT + TH + HH)

P(Atleast 1 H) = P(HT + TH + HH) = 3(0.25) = 0.75

P(HHn(Atleast 1 H)) = P(HH) × P(Atleast 1 H) = 0.25 × 0.75 = 0.1875

Therefore, the conditional probability can be expressed as :

P(HH | Atleast 1 head) = 0.1875 / 0.75 = 0.25

Therefore, P(HH | Atleast 1 head) is 0.25

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Related Questions

Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of buttons he can sew onto the shirt with the rest of the string he has?

Answers

Answer:

12

Step-by-step explanation:

1=5/5 so 2=10/5

add 2/5 to 10/5 to get 12/5

Write that down the equation for the lines that is the graphs are depicted below

PLZ HELP 20 points

Answers

A(1,2)

Find slope of line (m)

[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Putting in y=mx+b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]

[tex]\\ \sf\longmapsto 2=2+b[/tex]

[tex]\\ \sf\longmapsto b=2-2=0[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=2x[/tex]

Answer:

y = 2x

Step-by-step explanation:

The line passes through the origin and holds the point A(1, 2).

This is a proportional relationship:

y = kx

Considering the coordinates of the point A:

2 = 1*k ⇒ k = 2

The line is:

y = 2x

Factor.
f(x)=6x2 - x - 2
([ ? ]x + [])([ ]x - [ ])

Answers

Answer: Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c = 6 ⋅ - 1 = - 6, this should be right but if it isnt,u will have every right to get mad.

Step-by-step explanation:

6. What is the area of a rectangular floor that is 7-3" long
and 4-2” wide?

Answers

362.5 feet squared. 7 ft 3 in = 87 in. 4ft 2 in = 50 in. A= bh. 87 x 50 = 4350 in. 4350/12 = 362.5 feet squared

The area of the rectangle will be 4350 Inches squared.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular floor is 7-3" long and 4-2” wide. Here 7 ft 3 in = 87 in. 4ft 2 in = 50 in.

The area of the rectangle is calculated by using the formula below:-

Area = Length x Width

Area = 87 x 50

Area = 4350 Inches

Therefore, the area of the rectangle will be 4350 Inches squared.

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Anyone know ?????? I kind of need help rn

Answers

Answer:

2.45 anytime

Step-by-step explanation:

the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45

Answer:

2.45

Step-by-step explanation:

(2.4+2.5) / 2

What is the range of the following relation?

Answers

Answer:

The range is the y-values that satisfices the graph.  0 to  all negative  numbers.

Step-by-step explanation:

The graph highest value is 0 on the y-axis and goes down ( any negative numbers).

Which data set has the same standard deviation as the data set {2, 2, 5, 6, 8} ?
{3, 4, 4, 7, 7}


{5, 6, 5, 6, 5}


{3, 3, 6, 7, 9}


{4, 4, 5, 5, 5}

Answers

Answer:

{3, 3, 6, 7, 9}

Which inequality is true? O A. 41 - 2 < 10 B. 6. . 27 > 1 C. 51 > 15 C O D. TI + 9 < 12​

Answers

Answer:

C

Step-by-step explanation:

because 52 is greater than 15

The image of point (−3, 5) under translation T is (6, -8). What is the image of point (4, 7) under the same translation?

Answers

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!

4. k(x) × g(x) × f(x)​

Answers

[tex]k(x) \times f(x)[/tex]

[tex](2x + 5) \times (x - 1)[/tex]

[tex]2 x(x - 1) + 5(x - 1)[/tex]

[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]

[tex] {2x}^{2} - 3x - 5[/tex]

________________________________

[tex]k(x) \times g(x) \times f(x)[/tex]

[tex]g(x) \times (k(x) \times f(x))[/tex]

[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]

[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]

[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]

HELP ASAP!!!
I’ll make it Brainliest

Answers

Answer:

The answer to number 1 is c.

For the second one, I think it's D but I'm not sure.

Step-by-step explanation:

The median is the middle number of a list where all the numbers are listed from least to greatest.

Please tell me if I was right on the second one.

Rick and tom share a reward of $75 in a ratio of 2:3. how much money does each of them get?

Answers

Answer:

Rick gets $30 and Tom gets $45.

Step-by-step explanation:

If Rick gets 2 parts, and Tom gets 3 parts, then there are 5 parts. If $75 is split into 5 parts, each part will be worth $15.

Hence,

Rick gets 2 * $15 = $30

Tom gets 3 * $15 = $45


my baby chickie is chuuu pretty

Answers

Answer:

Don't quite see how this should fall into the mathematics category

what is 5 +10 - 20 x 4

Answers

Answer:

-65 is the right answerrr

Let A, B, C, X be sets with A, B, and C are subsets of X. Prove the following set equalities
a) (A ∩ B)' = A' ∪ B'

Answers

Answer:

[tex] let \:x \in (A\cap B)'\\\Rightarrow x \notin (A\cap B) \\\Rightarrow x \notin A \:or\: x\notin B\\ \Rightarrow x \in A' \:or \:x \in B'\\\Rightarrow x \in A' \cup B'\\\therefore (A ∩ B)' = A' ∪ B' [/tex]

It is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.

What is a set ?

Sets are represented as a collection of well-defined objects or elements.

It is given that A , B , C , X are sets with A , B and C are subsets of X.

Let's assume X be an element of A intersection B complement. or (A ∩ B)'.

i.e.,

X ∈ (A ∩ B)'

Also , we can say that :

X ∉ ( A ∩ B)

This implies :

X ∉ A or X ∉ B

or we can also say that :

X ∈ A' or X ∈ B'

or

X ∈ A' ∪ B'

So , we can conclude that :

(A ∩ B)' = A' ∪ B'

or A Intersection B complement is equal to the union of the complements of the sets A and B.

Therefore , it is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.

Learn more about sets here :

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what’s 5 5/32 (as an mixed number ) as a decimal.

Answers

Answer:

Convert 5 5/32 to an improper fraction.

Step-by-step explanation:

Exact Form:

165/32

Decimal Form:

5.15625

Mixed Number Form:

5 5/32

Answer:

[tex]{ \tt{5 \frac{5}{32} = \frac{(32 \times 5) + 5}{32} }} \\ \\ = { \tt{ \frac{165}{32} }} \\ \\ = { \boxed{ \tt{5.15625}}}[/tex]

Graph the number on the number line. Then use your number line to find the
absolute value.

Answers

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

*Cho hình chóp
S ABCD .
có đáy
ABCD
là hình chữ nhật biết
AB a  2
. Tam giác

SAD
cân tại
S
và nằm trong mặt phẳng vuông góc với đáy. Biết
SC a  6
. Đặt

AD x x    0

. Giá trị của
x
theo
a
sao cho thể tích khối chóp
S ABCD .
lớn nhất là

Answers

Answer:

que

Step-by-step explanation:

no ablo ese idioma v

Only 40% of people between the ages of 18 and 24 read a daily
newspaper. Write the percent as a fraction in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

40% = 40/100 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

40%/100% =2/5

you just take the 40% and divide with one hundred %

What is h in h/7.5 = 3.2

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The Campbells are saving up to go on a family vacation in 5 years. They invest $2800
into an account with an annual interest rate of 1.46% compounded monthly. Assuming no withdrawals are made, how much money is in the Campbells' account after 5 years?

Answers

Answer:

look at the explanation 20,440

Step-by-step explanation:

so the invested 2,800 $  and the interest rate is 1.46 so first what I would do is 1.46 times 5 = 7.3 then 7.3 x 2,800 =20,440

so I think the answer is 20,440

not sure if this is correct but I gave it my all

or you could just do 2800 time 5 time 1.46

An item is priced at $14.29. If the sales tax is 5%, what does the item cost including sales tax?

Answers

Answer:3-5=787879. youu

Step-by-step explanation:

d
18. Emily is encouraged to read more than 4 hours each
week. It takes her 45 minutes to finish her first book.
She divides the remainder of the time equally amongst
the other six days. What is the minimum number of
minutes she should read each day?

Answers

Answer:

I think the answer is 67.5. Hope this helps! :)

1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.

Max points

Answers

9514 1404 393

Answer:

(d)  y = -1/24x² (b)  y = 1/36x²

Step-by-step explanation:

1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...

  y = 1/(4p)x²

where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...

  y = -1/24x²

__

2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...

  y = 1/36x²

Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.

Answers

Answer:

#9

given, angle BOD = 95 degree

and angle     COD = 35 degree

assume that, angle BOC = x degree

so, angle BOC + angle COD = angle BOD

or, x + 35 degree = 95 degree

so, x = 95 degree - 35 degree = 60 degree

so, angle BOC = 60 degree

#10

given, angle AOC = right angle = 90 degree

and angle    AOB = 30 degree

assume that, angle BOC = y degree

so, angle AOB + angle BOC = angle AOC

or, 30 degree + y = 90 degree

so, y = 90 degree - 30 degree = 60 degree

so, angle BOC = 60 degree

Step-by-step explanation:

1:2 is equivalent to 200​

Answers

Answer:

Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2

Meaning:

The Part is 1/2 of the Whole

Step-by-step explanation:

Which number line shows the location
of 0.3?

Answers

There is no picture attached :)

The sum of 6 times and 4 is 2

Answers

Answer:

6x +2=3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example, I'm using x)

When you put it all together, it is 6x + 2 = 3

HELP PLEAASEEEE pretty anyone

Answers

Answer: It's the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's A.

1/5k is greater than 0 if k > 0

-2/3 j is less that 0 if j >0

When you look at the second half of this, what has happened is that - 2/3 is written first and it is still minus. 1/5 k is plus just as it was before.

How much of the circle is shaded? Write your answer as a fraction in simplest form? 3/7 and 1/3 isn't shaded ​

Answers

Answer:

[tex]total = 1 \\ \frac{1}{2} + \frac{1}{7} + x = 1 \\ \frac{1}{7} + x = 1 - \frac{1}{2} \\ \frac{1}{7} + x = \frac{1}{2} \\ x = \frac{1}{2} - \frac{1}{7} \\ x = \frac{7 - 2}{7 \times 2} \\ x = \frac{5}{14} \\ \\ shaded \: portin \: = \frac{5}{14} \\ thank \: you[/tex]

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

Half the circle ( to the left ) is partly shaded

shaded part = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{7}[/tex] = [tex]\frac{7}{14}[/tex] - [tex]\frac{2}{14}[/tex] = [tex]\frac{5}{14}[/tex]

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