Mathematics College

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

URGENT PLEASE HELP !!!

Answers

It’s 36 all you need to do is add both

Answer:

36

Step-by-step explanation:

AB=AC+BE

AB=10+26

AB=36

I need help with my work! Pls, help!

Answers

Answer:

How many potatoes has he already pealed and what rate is he moving at

Step-by-step explanation:

Solve the system: 10x-9y=8 21y+15x=0.5

PLEASEEEEEEEEE HELP NEED ASAPPPPP
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

y= -1/3

Substitute y= -1/3 into x = (8+9y)/(10)

x = 1/2

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5
-13/5
-5/12

Answers

Answer:

Step-by-step explanation:

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5

-13/5

-5/12

A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?

Answers

Answer:

-7

Step-by-step explanation:

y = 4x + 8 when x = 3y

Answers

Answer:

-8/11

Step-by-step explanation:

what are you trying to isolate

Find the midpoint of the segment with endpoints of (1,-6) and (-3, 4) and
enter its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.

Answers

Answer:

Mid point = (–1 , –1)

Step-by-step explanation:

From the question given above, the following data were obtained:

(1, –6)

(–3, 4)

x₁ = 1

x₂ = –3

y₁ = –6

y₂ = 4

Mid point = (X, Y)

X = (x₁ + x₂)/2

X = (1 + –3)/2

X = (1 – 3)/2

X = –2/2

X = –1

Y = (y₁ + y₂)/2

Y = (–6 + 4)/2

Y = –2/2

Y = –1

Mid point = (X, Y)

Mid point = (–1 , –1)

If the mangos cost $20 per 10. how much did I spend on mangos​

Answers

How many mangos are you buying?

Drag the tiles to the correct boxes to complete the pairs.
A team of 10 players is to be selected from a class of 6 girls and 7 boys. Match each scenario to its probability

Answers

Answer:

Step-by-step explanation:

Answer:

The answers were correct

Step-by-step explanation:

Where does the graph of f(x) = (x + 9)(x - 4) cross the x-axis?​

Answers

hi

f(x) = (x+9)  (x-4)

if it's cross the  x axis it's means  f(x) = 0

(x+9) (x-4) = 0  means   x+9 = 0  so x = -9  and   x-4 = 0 so x = 4

answers f(x) = 0 for  x = -9 and  x = 4

what is 10% of 100,
000​

Answers

Answer:

10,000

Step-by-step explanation:

Mr. Hayes opened an account with a deposit of $3,500
1)The account earned compound interest
2) He did not make any additional deposits or
withdrawals
3)At the end of 5 years his balance was
$4,097.01
What is the annual interest rate on this account?
A) 2.8%
D) 44%
B) 32%
E) 51%
C 37%
F) None of the above

Answers

9514 1404 393

Answer:

  B)  3.2%

Step-by-step explanation:

The future value is given by ...

  A = P(1 +r)^t

Filling in the given information, we can solve for r.

  4097.01 = 3500(1 +r)^5

  4097.01/3500 = (1 +r)^5 . . . . divide by 3500

  (4097.01/3500)^(1/5) = 1 +r . . . . take the 5th root

  (4087.01/3500)^(1/5) -1 = r ≈ 0.032 = 3.2%

The annual interest rate on this account is 3.2%.

How do you know if a number is rational irrational or not real number

Answers

Answer:

A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.

Step-by-step explanation:

I hope this helped you!

i need helppp plsss

Answers

Answer:

Im pretty sure it's C U think it is

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. Determine the height

Answers

Answer:

so lets get the cones volume first the formula for a cone is V=πr2/3

so V=πr2h

3=π·22·3

3≈12.56637

and then the height of the cylinder is 4

Step-by-step explanation:

here u go! BWABWABWABWABWA

Answers

Answer:

- 100

Step-by-step explanation:

Take 10 from both sides

t/2 + 10 - 10 = -40 - 10      Combine like terms

t/2 = - 50                          Multiply both sides by 2

2*t/2 = -50*2

t = - 100

Answer:

= (-90)

Step-by-step explanation:

-90/2+10=. -80/2

2 will go into -80 ,-40 times

It takes Brent 9 minutes and 14 seconds to walk around the pond. It takes Dana 8 minutes 41 seconds to walk around the pond. How many more seconds does it take Brent to walk around the pond than Dana?

Answers

Answer:

0 min 33 sec

Step-by-step explanation:

 9 min 14 sec

- 8 min 41 sec

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

 8 min 60+14 sec

- 8 min 41 sec

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

 8 min 74 sec

- 8 min 41 sec

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

0 min 33 sec

A water bottle holds 3/5 of a liter of liquid how many of these water bottles could be filled for 9/10 of a litter of juice

Answers

Answer:

its n44

Step-by-step explanation:

trust

please hurry.........................................................................

Answers

Answer:

1 4/5 pounds

Step-by-step explanation:

You can check my answer by multiplying it by the total number of loaves. This is because there are a certain number of loaves, and the answer I got was the weight of 1. 1 4/5 * 5 = 9.

1 4/5 pounds is the only answer here

PLEASE HELP I WILL MARK BRAINLIEST
Part A
At most, Marc can spend $50 on sandwiches and chips for a picnic his art club is having. He already bought chips for $6 and will buy sandwiches that cost $4.50 each. Write an inequality to show how many sandwiches (s) he can buy.

Part B
Solve the inequality to show the maximum amount of sandwiches he can buy.

Answers

Answer:

Part A: y=4.50x+6

Part B: $46.50=4.50(9)+6

Marc can buy up to 9 sandwiches ($40.5) plus chips ($6) without going over $50.

Can someone help of you dont know dont answer​

Answers

For question 2 the answer is: B and for question 3 the answer is: D

Answer:

the answer is A for both of the questions

1) A basket contains six apples and five
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
The first piece of fruit is an apple and the
second piece is a peach.
A) Dependent B) Independent
HE
FEN

Answers

Step-by-step explanation:

are you sure that math cauz that looks difficult or maybe its the fact that I'm in the 4th grade

A saleswoman is paid $15 per hour and $7 for each sale she makes. She wants to earn more than $146 in an 6-hour work period.

Which inequality represents the number of sales, x, the saleswoman must make in an 8-hour period to earn more than $146?

Answers

Answer:

43

Step-by-step explanation:

There are a total of 66 students in the fourth grade at Northp Elementary school. Class A has five more students than Class B. Class C has 2 less students than class B. How- many students are in class A?​

Answers

Answer:

12

Step-by-step explanation:

66 = A+B+C

A = 5+B

C= B-2

66= 5+B+B+B-2

66=3+3B

63=3B

B=7

A=5+B = 5+7 =12

Exam
AABC ~ AQRS
Find the missing side length, m.
B
10
m
А
6
9
m = [?]

Answers

Answer:

m = 15

Step-by-step explanation:

Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:

QR/AB = QS/AC

QR = m

AB = 10

QS = 9

AC = 6

Plug in the values

m/10 = 9/6

m/10 = 3/2

Cross multiply

2*m = 3*10

2m = 30

m = 30/2

m = 15

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter

Answers

Answer:

jngijmgjim

Step-by-step explanation:

gvnjv jg

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Part 2 of this question is..
What is Linda's Variation among all 10 days? We found the answer is 20 minutes but how do I show the work?

Answers

Answer:

20

Step-by-step explanation:

Need help ASAP!!!!!!!

Answers

Answer:

4) 90-37 = 53°

5) Supplementary

6) 90-62 = 28°

Answer:

4. 53 degrees

5. Supplementary angles

6. 28 degrees

Step-by-step explanation:

4. Complementary angles equal 90 degrees. 90-37=53

6. Both are complementary angles. 90-62=28

PLEASE HELP................................!

Answers

Answer:

-6 and -4 only

Step-by-step explanation:

What is a six sided shape called?

Answers

Answer:

hexagon

Step-by-step explanation:

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