A die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue. Each face is equally likely to land faceup when the die is tossed. In the game, a player tosses the die until blue lands faceup, and the number of tosses before blue lands faceup is counted. For example, a player who tosses the sequence shown in the following table has tossed the die 3 times before blue lands faceup. What is the probability that a player will toss the die at least 2 times before blue lands faceup? A 0.1406 B 0.4219 C 0.4375 D 0.5625 E 0.5781

Answers

Answer 1

Answer: 0.5625

Step-by-step explanation:

Answer 2

Using the binomial distribution, it is found that the probability that a player will toss the die at least 2 times before blue lands face up is:

D 0.5625

For each toss, there are only two possible outcomes, either blue lands face up, or it does not. The probability of blue landing face up on a toss is independent of any other toss, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

2 out of the 8 faces are blue, hence [tex]p = \frac{2}{8} = 0.25[/tex]

The probability that a player will toss the die at least 2 times before blue lands face up is P(X = 0) when n = 2, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]

Hence, option D is correct.

A similar problem is given at https://brainly.com/question/24863377


Related Questions

Please help me Asap i really need this

Answers

Answer:

B

Step-by-step explanation:

Answer:

B brainlist

Step-by-step explanation:

A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.
Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.
NO LINKS

Answers

Answer:

Part A. The absolute error is 0.2

Part B. The percent error is 1.45

Step-by-step explanation:

Hope this helps! :)

P.S I can tell that you have experience with the bots who ask you to go press a link. :)

A study finds that the number of gallons of water used each month per household in a
residential neighborhood are normally distributed with a mean of 470 gallons and a
standard deviation of 50 gallons. A household is randomly selected. What is the
probability that the household uses 480 gallons of water or less per month?

Answers

Answer:

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 470 gallons and standard deviation of 50 gallons.

This means that [tex]\mu = 470, \sigma = 50[/tex]

What is the probability that the household uses 480 gallons of water or less per month?

This is the pvalue of Z when X = 480. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{480 - 470}{50}[/tex]

[tex]Z = 0.2[/tex]

[tex]Z = 0.2[/tex] has a pvalue of 0.5793

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

Help me plssss NO LINKS PLSSSSSSS

Answers

Answer:

perimeter- 36 in.

area- 77 [tex]in^2[/tex]

Step-by-step explanation:

to find the perimeter you add all of the sides, so

7 + 7 + 11 + 11 = 36

*** the opposite side of the 7 is also 7, same with the 11 :)

to find the area for a rectangle, you use the formula A=b*h

so, the base(b)=7 and the height(h)= 11

therefore, 7 * 11 = 77

I hope this helps!! :) if it does, brainliest?? :)

Please help, homework is do in 41 mins

A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport

Width= ? feet,
Length= ? feet

Answers

Answer:

It is 10 because 5 times 10 is 50

Answer:

A) = 5

B) = 10

C) = (5 x 10)= 50

Step-by-step explanation:

Area of a rectangle a x b = c

Where a is the short side

Where b is the long side

And c is our area

Okay now we we have to think what numbers give us 50 so ( 1 x 50 , 5 x 10 , 2 x 25)

So since now we have the numbers we look for a number that is twice the other and is - 5 the other one and the only numbers are 10 and 5 so in conclusion

A= 5

B= 10

C= 50

which group of solid figures have curved surfaces​

Answers

Answer:

manyuhsjshd djdjjdbejsjjdue

at the convince store, 24 pack of water bottles are selling for $3.99 for 1 pack, or $9.99 for 3 packs. hiw much money per pack would you save by purchasing 3 packs insyead of 1?​

Answers

Answer:

you would save .66 per pack so .66×3=1.98

Step-by-step explanation:

9.99÷3=3.33, 3.99-3.33=.66

Enter the correct value so that each expression is a perfect-square trinomial.

x2 – 10x +

Answers

Answer:

x^2 - 10x + 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Edge… you’re welcome

ABC is a straight line, work out the size of angle x

Answers

The value of x is: 180° - 100° - 45° = 35°

Joe ran 12 laps around the field to run a total of 1 km on Sunday. How many laps will he need to run on Monday to run 4/6 of a km?

Answers

Answer:

[tex]4 \div 6 \times 12 = 4 \times 2 \\ \\ 4 \times 2 = 8[/tex]

so, 8 laps

please mark it brainliest

5. Solve for x:
22x-2
20x + 10

Answers

Answer:

22x-2=20x+10? Is this the question?

x=6

Step-by-step explanation:

22x-20x=10+2

2x=12

x=6

X=6 i’m pretty sure

What is the degree of vertex F

Answers

Answer: 1

Step-by-step explanation:

Drag each item to the appropriate space on the proof.

Answers

Answer:

The answer is attached

Step-by-step explanation:

See the picture for matching reasons

someone please help me answer this!!

Answers

Answer:

2 in the first blank

3in the second

Step-by-step explanation:

25^(1/3)=2.924

Goods include kennels, leads, toys and similar accessories for pets.

Look at the table.

About what percentage of the total amount is spent on Goods?

Answers

Answer:

Where is the table? Is there supposed to be an image attached?

Step-by-step explanation:

Help me with this question please

Answers

Answer:

y = x² - 8x + 18

Step-by-step explanation:

vertex form based on vertex of (4,2) and point (2,6)

y = a(x - 4)² + 2

find 'a':

6 = a(2 - 4)² + 2

6 = 4a + 2

4 = 4a

a = 1

Convert y = (x - 4)² + 2 to standard form:

y = x² - 4x - 4x + 16 + 2

y = x² - 8x + 18

there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw​

Answers

Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.

You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.

If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.

Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.

5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe

7

Related Questions (More Answers Below)

Step-by-step explanation:

Which of the following statements is true of an essay's conclusion?

a.) It provides new evidence to support your argument.

b.) It hooks your reader.

c.) It includes the first statement of your thesis.

d.) It creates a sense of completeness.

Answers

The answer is option D.

Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's diameter? Use 3.14 for pi.
Will mark brainlest.

Answers

Answer:

diameter = circumference / pi

circumference = 15cm

diameter = 15 / 3.14

               = 4.77707006369 cm

hope this answer helps you.....

please mark as brainliest... thank you!

Please help!! I’ll give branliest!!!

Answers

Answer:

4.88

Step-by-step explanation:

sinA=opposite/adjacent

sin24=x/12

12(0.40673664307)=x

x=4.88083971691

Figure ABC is similar to figure XYZ.

What is the value of x in meters?
FOR BRAINLIST!!!

Answers

Answer:

D. 10m

Step-by-step explanation:

I hope you trust me

multipaction equation that will help find the number 23

Answers

Answer:

23*1, -23*-1

its prime sorry bestie

it's a prime equation sorry

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus five. A) Does not exist B) 0 C) 5 D) -5

Answers

Answer:

lim as x---->0 of (x²-5) = -5 which is D

Find the area of the circle. Leave your answer in terms of
4.1.
A) 4.2025
B) 8.405
C) 16.81
D) 11.2​

Answers

A) 4.2025

Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi

It’s a hope this helps

Hope has 3 pencils, 5 pens, and 7 erasers. Which fraction represents the
number of pens she has to the total number of school supplies?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

Hence, your answer is 1/3.

Brainliest would be appreciated!!!!

Which statement best explains the relationship
between lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

they are parallel because their slopes are equal.

Answer:

A

Step-by-step explanation:

hope this helped!

Evaluate: 2x-5y for x=-7 and y=-2

Answers

Answer:

-4

Step-by-step explanation:

1. Substitute the x values and y values

2(-7) -5(-2)

-14 +10

-4

£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?

Answers

Answer:

Amount June get = £45

Step-by-step explanation:

Given:

Total amount divided = £150

Amount Nick get = 2 x Amount June get

Amount June get = 3 x Amount Sushil get

Find:

Amount divided between Nick June and Sushil

Computation:

Assume;

Amount Sushil get = a

Amount June get = 3 x Amount Sushil get

Amount June get = 3a

Amount Nick get = 2 x Amount June get

Amount Nick get = 2 x 3a

Amount Nick get = 6a

Amount Sushil get + Amount June get + Amount Nick get = Total amount

So,

a + 3a + 6a = 150

10a = 150

a = 15

So,

Amount Sushil get = £15

Amount June get = 3a

Amount June get = 3 x 15

Amount June get = £45

Amount Nick get = 6a

Amount Nick get = 6 x 15

Amount Nick get = £90


A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the circular flower bed.

Answers

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

Find the slope of the line by comparing the change in y to the change in x.

Answers

Answer:

3/4

Step-by-step explanation:

i was just learning this stuff

The slope of the line = 3/4

What is slope?

"It is the ratio of change in the y values to the change in x values"

From given graph,

Consider AB,

assuming scale of 1 unit on each axis,

change in y = 3 and the change in x = 4

Therefore, the slope of the line  = 3/4

Learn more about the slope of the line here:

https://brainly.com/question/1583658

#SPJ2

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