In the Japanese game show Sushi Roulette, the contestant spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a “wasabi bomb.” When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb. Find the probability that it takes 3 or more spins for the contestant to get a wasabi bomb. Show your method clearly.

Answers

Answer 1

Answer:

P = 0.545

Step-by-step explanation:

Here we can find the probability Q, in which you need one or two spins to win the game, and then:

P = 1 - Q

Will be the probability that it takes 3 or more spins to win.

Case where you need only one spin:

There are 3 out of 12 possible outcomes, then the probability of winning with only one spin is:

p = 3/12.

Case where you need two spins to win:

Here we should get a normal sushi roll in the first spin and a wasabi bomb in the second.

The probability of getting a sushi roll in the first spin is equal to the quotient between the number of sushi rolls (9) and the total number of possible outcomes (12), then:

p1 = 9/12

For the second spin we need to get a wasabi bomb, assuming that the susi roll is not replaced (so now there are 8 sections with sushi rolls and 3 with wasabi bombs, if you get the empty section you roll again or something like that)

Now the probability of getting a wasabi bomb is equal to the quotient between the number of wasabi bombs remaining (3) and the total number of outcomes remaining (11), this is:

p2 = 3/11

The joint probability is the product of the two individual probabilities:

p = p1*p2 = (9/12)*(3/11)

Now, the total probability of winning with one or two spins is equal to the sum of the probabilities for each case, then:

Q = (9/12)*(3/11)  + 3/12 = 0.455

Then the probability of needing 3 or more spins to win is:

P = 1 - Q = 1 - 0.455 = 0.545

Answer 2

The probability that it takes 3 or more spins for the contestant to get a wasabi bomb is 0.545 and this can be determined by using the given data.

Given :

In the Japanese game show Sushi Roulette, the contestant spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a wasabi bomb.When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb.

The probability to win the game in the first spin is:

[tex]\rm P_1=\dfrac{3}{12}=\dfrac{1}{4}[/tex]

The probability to win the game in the second spin is:

[tex]\rm P_2 = \dfrac{9}{12}\times \dfrac{3}{11}[/tex]

[tex]\rm P_2=\dfrac{9}{44}[/tex]

The probability to win in 1 or 2 spins is given by:

[tex]\rm Q = P_1+P_2=\dfrac{9}{44}+\dfrac{1}{4}[/tex]

Q = 0.455

So, the probability that it takes 3 or more spins for the contestant to get a wasabi bomb is:

P = 1 - Q

P = 1 - 0.455

P = 0.545

For more information, refer to the link given below:

https://brainly.com/question/795909


Related Questions

what is 9×10005

1 90,000
2 80,900
3 90,045​

Answers

Answer:

its 90,045

Step-by-step explanation:

just use a calculator

Option 3. 90,045

when you multiply you should get 90,045

HELP ASAP WILL GIVE BRAINLY!!

Answers

Answer:

7 units. I hope I was able to help kiddo :)

It should be 7 units tell me if I’m wrong tho

Find the distance between each points A(6,8) B(-1,8)

Answers

Answer:

7

Step-by-step explanation:

[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]

[tex]\sqrt{((-1)-6)^{2} +(8-8)^{2} }[/tex]

simplify to get 7 as answer

The distance between (6,8) and (-1,8) is 7.

It is required to find the distance between each points.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

By the use the distance formula to find the distance between (6,8) and (-1,8).

∵The distance between two points is given by

=[tex]\sqrt{(x_{2}-x_{1} )^{2}+ (y_{2}-y_{1} )^{2} } \\\\[/tex]

Distance between the point (6,8) and origin(-1,8) =

[tex]\sqrt{(-1-6 )^{2}+ (8-8 )^{2} } \\\\=\sqrt{(-7 )^{2}+ (0 )^{2} }\\\\=7[/tex]

Hence, the distance between (6,8) and (-1,8) is 7.

Learn more about distance here:

brainly.com/question/21389325

#SPJ2

I NEED THIS FOR A QUIZ PLS

Answers

C since hyptnotuse has a much greater length and is not shorter than the leg of it
The answer for this question would be C

Change x-2y=4 into slope-intercept form.

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

What is the outlier in the following data set:
15,11,10,8,9,1,8,7,5,4,2,3, and 37?

Answers

Step-by-step explanation:

The steps to find an outlier:

1. Put the data in numerical order.

2. Find the median.

3. Find the medians for the top and bottom parts of the data. This divides the data into 4 equal parts.

The median with the smallest value is called Q1. The median for all the values - usually just called the median is also called Q2. The median with the largest value is Q3.

4. Subtract...Q3 - Q1. This value is the InterQuartileRange or IQR. Remember that the range means taking the largest minus the smallest. This is a special range having to do with the quartiles.

5. Multiply...1.5 * IQR

6. Take your answer from #5 and do 2 things with it. A). Subtract it from Q1 and B) Additional to Q3.

7. Look at all your data points. If any are SMALLER than Q1 - 1.5 *IQR, they are outliers. If any are LARGER than Q3 + 1.5 *IQR, they are also outliers.

For your data....the median, Q2 is

(43+38)/2 = 40.5.

Q1 = (30+26)/2 = 28.

Q3 = (54+52)/2 = 53

The IQR is 53 - 28 = 25

1.5 * IQR = 37.5

Q1 - 37.5 = 28 - 37.5 = -9.5. There is no data value less than -9.5.

Q3 + 37.5 = 53 + 37.5 = 90.5. there is no data value greater than 90.5.

My conclusion is that there are no outliers in this data.

I hope this helps!

HELPP PLSSS IM REALLY STUCKKKK

Answers

akmsosmwbssklwmajslsnjslwnskwlwhxlsnsn

what is -x+y=30
x=7y

Answers

Answer:

the answer is 37

im 100% positive

Step-by-step explanation:

Find the volume of the cone 3ft and 2 ft. Round your answer to the nearest tenth if necessary. Use 3.14 for pie

Answers

Answer:

37.68 ft^3

Step-by-step explanation:

The parameters used in describing a cone is radius and height

Hence

Radius= 3ft

Height = 2 ft

The volume of a cone is given as

[tex]v=\frac{1}{3} \pi r^2 h[/tex]

substitute

[tex]v=\frac{1}{3}*3.14*3^2*2^2\\\\v=\frac{1}{3}*3.14*9*4\\\\v=\frac{1}{3}*113.04\\\\v=37.68 ft^3[/tex]

Hence the volume is 37.68 ft^3

hellllpp, with both number 1 and 2, first one to answer gets brainliest, be sure of your answer please!​

Answers

Answer:pretty sure 1 is 23 and 2 is 211200

Step-by-step explanation:

1. 92/4 is 23

2. Just used a calculator on

Florence makes y cards in 3 minutes. how many cards does she make in 1 minute

Answers

Answer:

y:3

y/3:1

She can make y/3 cards in one minute

Step-by-step explanation:

Answer:

Florence would have made 1/3y card in 1 minute

Step-by-step explanation:

the the total amount is y and y is also 3 then 3 is 3 times more than 1

sorry if it doesn't make sense.

Question 1 (1 point)
Ryan is going to paint the room represented by this net. Determine the square footage Ryan needs to paint (Hint 'The ceiling
and floor will not be ppainted.)

Answers

It’s is b why u covering your camera lol

Can someone help me please ?

Answers

No , because if you were to add 4+6 in the second equation you’ll get 10 then subtract the 4 on the right side that would give you. 2d + 6 = 5. So 2d + 4 = 5 is not the same as 2d + 6 = 5

What is the area of the object above? A. 90 sq cm B. 104 sq cm C. 140 sq cm D. 98 sq cm

Answers

Answer:

A. 90

Step-by-step explanation:

12 x 4 = 48

14 x 3 = 42

42 + 48 = 90

A certain type of bacteria doubles every hour. If you have two cells of this bacteria, how many will you have at the end of the day (there are 24 hrs. in a day)?​

Answers

Answer:

16777216

Step-by-step explanation:

You put 2 to the pour of 24 hours so:

2^24 = 16777216

60 point question please answer
convert to vertex form using the points given

Answers

Answer:

dgbsbansksonfnkzkanehfb

Step-by-step explanation:

xhzbjzjajsnfjksms

Write the equation of the line parallel to 2y=6x-7 that passes through the point (3,-2)
I

Answers

Step-by-step explanation:

I think this is the answer

After a battle six people were killed and 45 were injured. There were 467 people involved in all. What percent of the total people involved, to the nearest whole percent, were either killed or injured.

Answers

Answer:

11%

Step-by-step explanation:

When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5 games and paid $32. Write and solve linear equation to find the cost to rent the shoes.​

Answers

I think the equation would be
y=4.95x +7.25
The cost of the shoes in this instance would be 7.25.
Since he play 5 games, and each one cost 4.95, you would multiply the two getting 24.75. Since he paid 32, you would subtract what he paid total from the amount for just the games and you would get 7.25.
Using the equation y=4.95(5) + 7.25, it would equal 24.75+7.25 which is equal to 32.
I hope this is right and the answer you were looking for, have a good day.

Find the values of x and y round your answer to the nearest tenth if necessary

Answers

Find the values of x and y round your answer to the nearest tenth if necessary?

Answer
X=22
Y=28

please help with geometry

Answers

Step-by-step explanation:

the answer is:

x=180-90-70=20°

what is 4x - y = - 20 in y=mx+b form

Answers

Answer: y = 4x + 20

Step-by-step explanation:

4x - y = -20

=> -y = -4x - 20

=> y = 4x + 20

Answer:

4x - y = - 20 in y=mx+b form is:  y = 4x + 20

Step-by-step explanation:

Given the equation

[tex]4x - y = - 20[/tex]

What is the slope-intercept form of linear/line function?

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

[tex]m[/tex] represents the slope[tex]b[/tex] represents the y-intercept

Converting the equation into the slope-intercept form of the line equation

[tex]4x - y = - 20[/tex]

Add -4x to both sides

[tex]4x-y+\left(-4x\right)=-20+\left(-4x\right)[/tex]

simplify

[tex]-y=-20-4x[/tex]

Divide both sides by -1

[tex]\frac{-y}{-1}=-\frac{20}{-1}-\frac{4x}{-1}[/tex]

Simplify

[tex]y=4x+20[/tex]

Therefore, 4x - y = - 20 in y=mx+b form is:  y = 4x + 20

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students left 1292 seats vacant.what percentage of the seats in the theater were filled by the 6th graders on the trip

Answers

We have that the  percentage of the seats in the theater were filled by the 6th graders on the trip  is mathematically given as

X=24%

From the question we are told

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students left 1292 seats vacant.what percentage of the seats in the theater were filled by the 6th graders on the trip

Percentage

Generally the equation for the filled percentage   is mathematically given as

[tex]X=\frac{Filled seat}{total seat}*100\\\\Therefore\\\\X=\frac{1700-1292}{1700}*100[/tex]

X=24%

For more information on percentage visit

https://brainly.com/question/8011401?referrer=searchResults

Could you please help? I'm stuck on this.

Answers

Answer:

99

Step-by-step explanation:

6 x 6=36

9 x 15=135

135-36=99

please help it should be ez for you guys ;-; brainiest to best answer :D

Answers

Answer:

1: -16/0 or undefined

2: 0

Step-by-step explanation:

Answer:

17

≈ 0.31

Step-by-step explanation:

Do the rise over run tactic for both of these points :

[tex]\frac{Y2 - Y1}{X2 - X1}[/tex]

Substitute : (8,7) and (8, -9)

[tex]\frac{(-9 ) -8}{7-8}[/tex]

[tex]\frac{-17}{-1}[/tex]

[tex]17[/tex]

Substitute : (-5, 8) and (4, 8)

[tex]\frac{8- 4}{8- (-5)}[/tex]

[tex]\frac{4}{13}[/tex]

≈ [tex]0.31[/tex]

True OR False. For Multi-Step Equations: Combine Like Terms first, then Distribute.​

Answers

Answer:

True

Step-by-step explanation:

leonard has 32 jazz CD's and 48 classical CD's. write down the ratio of the number of jazz CD's to the number of Classical CD's. give your ratio in its simplest form

Answers

Answer:4   : 3

Step-by-step explanation:

32:48

8 : 6

4 : 3

please someone help on this

Answers

Answer:

1 solution

no solution

infinitely many

1 solution

Step-by-step explanation:

1. 2.3x-7=-7

2.3x=0

x=0

2. 3x=5+3x

0x=5

x=5/0

That’s undefined

3. 40-4x=4(10-x)

40-4x=40-4x

They both are equal no matter what. So, infinitrly many

4. -7+x=-(x+7)

-7+x=-x-7

2x=0

x=0

1 solution I.e 0

Answer:   1-  One solution

                2- No solution

                3- Infinite

               4-  one solution

Step-by-step explanation:  Hope this helps. pls mark me brainliest. :)

Activity 2 of 2
Part B: What is the probability that a member chooses whole wheat bread, ham, and Swiss cheese?
O A. 1

Answers

Answer:

1/12

Step-by-step explanation:

I got this question on one of my quizzes

WHC 1    WWBHC 1   Explanation: there are 12 samples and they asked us to                  

WHS 2    WWBHS 2  pick 1 so it would be 1/12

             (whole wheat bread, ham, swiss)

WHA 3    WWBHA 3

WTC 4     WWBTC 4

WTS 5      WWBTS 5

WTA 6      WWBTA 6  

Which represents the numbers in order from least to greatest?
9%, 9/10, 9. -9/1

Answers

Answer:

9% 9. -9/1 9/1

Step-by-step explanation:

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