When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

Answers

Answer 1

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]

Probability of you winning and fireworks going off:

100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]

0.2275 = 22.75% probability that you actually won that round


Related Questions

Need help On question 1. for geo

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Triangle 1 :

Classify by angle = obtuse (one angle in the triangle is obtuse)

Classify by sides = isosceles (has two equivalent sides)

Triangle 2 :

Classify by angles = right (an angle in the triangle is equal to 90°)

Classify by sides = scalene (none of the sides in this triangle is equal)

noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.

Answers

His fundraising goal is $90

Write the improper fraction as a mixed number 1879/12

Answers

The answer is 156 7/12

1879/12= 156.583

156* 12= 1872

1879-1872= 7

The answer is 156 7/12. in a mixed number

find the values of x and y

Answers

Answer:

x = 60 and y = 60

Step-by-step explanation:

Those are all equilateral triangles with the same angles.

lol,j,bhkgkjhkhkhkhukgiuguk

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Answer:

wioajfcskaljfcksjhnfkmdesdn,k  obviously

Step-by-step explanation:

Simplify Rewrite the expression in the form x ^ n X^ 2 * x ^ - 12 =

Answers

Step-by-step explanation:

Given

[tex] = {x}^{2} \times {x}^{ - 12 } \\ = {x}^{2 - 12} \\ = {x}^{ - 10} [/tex]

Hope it will help :)

Answer:

x^-10

Hope this helps ( :

Elizabeth has $72 to spend on painting supplies needed to repaint her house. Rollers
cost $4 each, and paintbrushes are $3 each. She needs at least 15 rollers and
paintbrushes combined and wants at least five of each.

Answers

4(15) + 3x = 72
60 + 3x = 72
3x = 12
x = 4
Answer: 4 paintbrushes

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 40 kg if a mix that will sell for $1.30 per kg?

Answers

Answer:

40kg

Step-by-step explanation:

x + y = 60, y = 60 - x

x(2.50) + y(1) = 60(1.50)

Substitute:

2.50 x + 60 - x = 90

1.50x = 30

x = 20 kg

y = 40 kg

Help me with Question 4

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This is cause the phrase two thirds refrences as two of three which is a fraction.

Find the measure of the indicated angle to the nearest degree

Answers

51 the other person was right

Keisha found three pieces of cable in her tool drawer. Here are their lengths (in meters).
4.9, 10, 14.94
What is the total length of the three pieces?

Answers

Answer:

29.84

Step-by-step explanation:

4.9+10+14.94

4.9+10=14.9

14.9+14.94=29.84

If 4x- 7 = 2x, then 2x = ?

Answers

If [tex]4x-7=2x[/tex], then [tex]2x=7[/tex].

Hope this helps.

Answer:

7

Step-by-step explanation:

We solve for x first.

So: 4x - 7 = 2x

Subtract 2x from both sides: 4x - 2x - 7 = 2x - 2x

2x - 7 = 0

Add 7 to both sides: 2x - 7 + 7 = 0 + 7

2x = 7

Divide by 2: [tex]\frac{2x}{2}[/tex] = [tex]\frac{7}{2}[/tex]

x =  [tex]\frac{7}{2}[/tex]

Now, we substitute x for  [tex]\frac{7}{2}[/tex] like this:

2 ( [tex]\frac{7}{2}[/tex]) = 7

Simplify the fractions using the greatest common factor and division 4/8 =

Answers

Answer:

2/4

Step-by-step explanation:

what is clairouts equation​

Answers

In mathematical analysis, Clairaut's equation is a differential equation of the form where f is continuously differentiable. It is a particular case of the Lagrange differential equation

What are the values of s and t?

Answers

Answer:

I think t is 72, because the angle looks equal to the known degree, which is 72. And since all the degrees have to add up to 180, 72+72 is 144 and 180-144 is 36. So angle s is 36 degrees.


1. 2a+b-c
A. O
B. 1
C. 3
D. 4​

Answers

Answer:

i think C correct me if im wrong pls

Step-by-step explanation:

Swimming pool was 9 meters wide with an area of 90 square.What is the length of the pool?

Answers

Answer:

If the area is 90 square meters then, the answer is 10 meters long (length.)

Step-by-step explanation:

HELP ME PLEASEEE DUE IN 2 MINS
[tex] \frac{ 1}{2 } \: \: and \: \frac{4}{5} [/tex]

Answers

Answer:

1.3 meters

Step-by-step explanation:

1/2 + 4/5 = 13/10

13/10 = 1 3/10

1 3/10 = 1.3

someone pls help :( I’m very confused

Answers

Answer:

ok look if you can get me a new pic then i well love to help you but i cant see what that is im so sorry but new pic and well love to help you

Step-by-step explanation:

HELP PLEASE WILL GIVE BRAINLIST


Andrea is planning on building a shed. The blueprints show a shed that is 7 inches wide and 3 inches tall. The blueprints use a scale in which 34 inch represents 3 feet.

How wide and tall will the actual shed be?

Drag and drop the height and width of the actual shed into the boxes.

Shed Height Shed Width
6.75ft 15.75 12ft 28ft

Answers

♡ The Question ♡    

Andrea is planning on building a shed. The blueprints show a shed that is 7 inches wide and 3 inches tall. The blueprints use a scale in which  34 inch represents 3 feet.  

How wide and tall will the actual shed be?  

Drag and drop the height and width of the actual shed into the boxes.

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

Shed Height --> 12 ft!

Shed Width --> 28 ft!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The dimension of the actual shed.

Length = 0.26 feet

Wide = 0.62 feet

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

1 minute = 60 seconds

1 hour = 60 minutes

1 km = 1000 m

1 m = 100 cm

We have,

Shed dimensions in the blueprint:

Wide = 7 inches

Length = 3 inches

The scale factor:

34 inch = 3 feet

This means,

Multiply 7/34 on both sides of (1).

7/34 x 34 inch = 7/34 x 3 feet

7 inch = 21/34 feet

7 inch = 0.62 feet _____(A)

Multiply 3/34 on both sides of (1).

3/34 x 34 inches = 3/34 x 3 feet

3 inches = 0.26 feet ______(B)

From (A) and (B) we get,

Wide = 0.62 feet

Length = 0.26 feet

The actual dimension of the shed.

Length = 0.26 feet

Wide = 0.62 feet

Thus,

The dimension of the actual shed.

Length = 0.26 feet

Wide = 0.62 feet

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

1.7 m+ 3.7 m +3.7 m +3 m +5.9 m​

Answers

answer:

18 m

step-by-step explanation:

simply add up all the numbers given1.7 + 3.7 + 3.7 + 3 + 5.9 = 18 then, put the units given

Answer:

18m

Step-by-step explanation:

(1.7 + 3.7 + 3.7 + 3 + 5.9)m = 18m

Hope that helps!

find the equation of the line containing the points shown​

Answers

Answer:

y= 6x - 22

Step-by-step explanation:

(4,2) and (5,8)

m= (y2-y1)/(x2-x1)

m= (8-2)/(5-4)

m= 6

y-y1= m(x-x1)

y-2= 6(x-4)

y-2= 6x-24

y= 6x - 22

Mark brainliest pls!

The graph shows the relationship between a sphere's radius and volume.



Select all the statements that are true about the relationship.



Group of answer choices

If the radius doubles, the volume doubles.

If the radius doubles, the volume becomes about 4 times bigger.

If the radius doubles, the volume becomes about 8 times bigger

The relationship is linear.

The relationships is not linear.

Answers

Answer:

C and D

Step-by-step explanation:

Answer:

C and e

Step-by-step explanation:

Solve this system by substitution, y = 1 -3x - 4y = 14 *Remember to write your answer as a coordinate point (x, y). 1​

Answers

Step1- substitute 1 into the y
= -3x-4 x 1=14
=-3x -4=14
=-3x=14+4
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X=18/-3
X=-6


please help fast thanks​

Answers

Answer:

3/4             5/7             5/4

32/33        20/21          27/13

1/2             16/25          9/14

16/49         3/2             13/15

should be the answers

Step-by-step explanation:

ASAP NEED TO KNOW IF IM CORRECT 5/6 x 575=2,875/6

Answers

Answer:

Yes, that is correct.

The answer 149.166666667 or 479 1/6

The exact answer is 149.166666667

In fraction form the answer is 2,875/6

Answer:

Yes you are indeed correct [tex](\frac{5}{6} )(575) = \frac{2875}{6}[/tex]

Step-by-step explanation:

[tex](\frac{5}{6} )(575) = \frac{2875}{6}[/tex]

how can I do this, can you explain me

Answers

Answer:

Step-by-step explanation:

Start with h(t) = -16t^2 + initial height, which here is h(t) = -16t^2 + 1296.  Set this = to zero, which corresponds to the object hitting the ground (h = 0):

0 = -16t^2 + 1296.  Dividing all terms by -16, we get t^2 = 81, whose positive square root is 9.  It takes 9 seconds for the object to hit the ground.

Decrease 60 by 0.75 of itself ​

Answers

Answer:

15

Step-by-step explanation:

(0.75 of 60)  

0.75 * 60 = 45

(decrease 60 by answer)

60 - 45 = 15

yes, 15
60 x .75 =45
60-45 =15

Find the circumference of the circle. Use 3.14 for . Round to the nearest hundredth, if necessary.
12.5 in.


The circumference of the circle is about
inches.

Answers

Answer: i got 78.54

rounded is 78.5

hope that helps

What is the 5 ^ (th) term in the sequence ?

Answers

Answer:

the answer is -16

Step-by-step explanation:

n= 5 so 5 - 1 = 4 so it's -1(2)^4 right

2^4 is equal to 16 and then -1(16) = -16

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