selects a piece of candy and eats it (so it is NOT replaced!) Then selects a piece of candy and eats it. Find the probability of each event

Answers

Answer 1

Question:

There are 30 candies in a box, all identically shaped. 5 are filled with coconut, 10 with caramel, and 15 are solid chocolate.

You randomly select a piece of candy and eat it (so it is NOT replaced!), then select a second piece. Find the probability of each event

(a) The probability of selecting two solid chocolates in a row.

(b) The probability of selecting a caramel and then a coconut candy.

Answer:

[tex](a)[/tex] [tex]P(Chocolates) = \frac{7}{29}[/tex]

[tex](b)[/tex] [tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]

Step-by-step explanation:

Given

[tex]Coconut = 5[/tex]

[tex]Caramel = 10[/tex]

[tex]Chocolate = 15[/tex]

[tex]Total = 30[/tex]

For probabilities without replacement, 1 is subtracted after the first selection.

So, we have:

Solving (a): Two solid chocolates

This is calculated as:

[tex]P(Chocolates) = P(First\ Chocolate) * P(Second\ Chocolate)[/tex]

[tex]P(Chocolates) = \frac{n(Chocolate)}{Total} * \frac{n(Chocolate) - 1}{Total - 1}[/tex]

[tex]P(Chocolates) = \frac{15}{30} * \frac{15 - 1}{30 - 1}[/tex]

[tex]P(Chocolates) = \frac{15}{30} * \frac{14}{29}[/tex]

[tex]P(Chocolates) = \frac{1}{2} * \frac{14}{29}[/tex]

[tex]P(Chocolates) = \frac{7}{29}[/tex]

Solving (a): Caramel and Coconut

This is calculated as:

[tex]P(Caramel\ and\ Coconut) = P(Caramel) * P(Coconut)[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{n(Caramel)}{Total} * \frac{n(Coconut)}{Total - 1}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{30- 1}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{29}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{1}{3} * \frac{5}{29}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]


Related Questions

Some trapezoid has an area of 213.86 yd2 and a height of 18 yd. If one of the bases measures 5 yd, then the other base must measure ___ yd.

Answers

Answer:

The other base measure 18.76 yd.

Step-by-step explanation:

A = h ((a+b) / 2)

213.86 = 18 ((5 + b) /2)

(5 + b) /2 = 11.88

5 + b = 23.76

b = 18.76 yd

divide 54 books between A and B in the ratio 13:14​

Answers

Answer:

hi

Step-by-step explanation:

i think,

13:14=54

13k+14k=54

27k=54

k=54/27

k=2

13×2=26 and 14×2=28

to verify the correctness of the answer-26+28=56

have a nice day

hope it helps

The ratio of the divide is mathematically given as

26:28

What is the ratio of the divide?

Question Parameters:

divide 54 books between A and B in the ratio 13:14​

Generally,  ratios are mathematically given as

X=13/27*54

X=26

Y=14/27*54

Y=28

In conclusion, the ratio of the divide would be

26:28

Read more about Arithmetic

https://brainly.com/question/22568180

YALL PLEASE HELP, need to turn this in ASAP

Answers

Answer:

I believe the answer is 1,800 :)

Step-by-step explanation:

1,500x0.20=300+1,500=1,800

Hope this helped!

PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

A)obtuse
B)acute
C)obtuse
D)right

The circumference of a circle is 127 cm. What is the area,
in
square centimeters?
Express your answer in terms of Pi.

Answers

A≈ 1283.51
I hope this will help u

Factor the expression: 2x^2 +21x+49

Answers

Answer:

[tex](2x + 7) ( x + 7)[/tex]

Step-by-step explanation:

The table shows the amounts A (in billions of dollars) budgeted for national defense for the years 1998 to 2004.

Answers

Ok ahhh thank u po


Sana all
Sana talaga

what is the sum of 3x4

Answers

Answer:

12

Step-by-step explanation:

3 4's

3+3+3+3=12

Hope that helps :)

The sum of this question is 12

What type of function will fit these data points?

Linear
Quadratic
Exponential
None of the above

Answers

Answer: quadratic

Step-by-step explanation:

I guess if you can search up a picture of each function, you will be able to understand it. A linear graph is linear (as its name suggests), as a result, it never "goes back" to the value that has showed up. For example, the linear function y=3x+2. If you plug in a random value of y (let's say 10), then solve for x, you will only get 1 value of x. The data table that you have indicates that the y value of 0 has appeared twice. Thus, the function cannot be linear. The same thing applies to an exponential function. A quadratic function, however, can have to x values that result in the same y value. For example, the function y = [tex]x^2[/tex]-1. When you set y equal to zero....

0 =  [tex]x^2[/tex]-1

0 = (x+1)(x-1)

x = -1 or 1.

Hope this helps :)

please help please it would me me sm <3

Answers

Answer:

25

Step-by-step explanation:

4x25=100

100-25=75 degrees

Answer:

25°

Step-by-step explanation:

(4x-25)=75

4x=100

x=25

What is AB?

Triangle ACB is right angle triangle. The length of AC is 12 and BC is 35.

Answers

Answer:

the answer is 35

Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

The required value of AB is 33 units for the given right triangle.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Assume BC is the hypotenuse,

Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.

AB² + AC² = BC²

AB² + (12)² = (35)²

AB² + 144 = 1225

AB² = 1225 -144

AB² = 1081

AB = 32.8785

Rounded to two decimal places,

AB = 33 units

Therefore, the required value of AB is 33 units.

Learn more about Pythagoras's theorem here:

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The perimeter of a rectangle is 20m and the length is x m find the
area of the rectangle in terms of x

Answers

Answer:

2(x+y)

Step-by-step explanation:

perimeter=20cm

length=x

Take the radius to be y

area of a rectangle=2(length+width)

therefore area of a rectangle=2(x+y)

Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
Stefan sells Jin a bicycle for ​$104 and a helmet for ​$17. The total cost for Jin is 110 ​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

Stefan spent 108.9$ and made 12.1$

Step-by-step explanation:

Hey I'm Aiden I can help you, I will take Brainlest, Your welcome :)

take 10% of 121 and subtract it from 121 and you get the price he paid and made

If the ratio of shirts to jeans is 5 : 3 and the no. of shirts are 15, what is the no. of jeans?

Answers

Answer:

9

Step-by-step explanation:

let x be number of jeans

3/5 = x/15

x=(3/5)15

x=9

Answer:

9 jeans

Step-by-step explanation:

The 5 part of the ratio relates to 15 shirts , then

15 ÷ 5 = 3 ← value of 1 part of the ratio , then

3 parts = 3 × 3 = 9 ← number of jeans

Which is NOT true?
A 9 + 4 = 17 - 4
B 8 + 7 = 14 + 3
C 11 = 19 - 8
D 5 + 8 = 20 - 7

Answers

Answer:

B is not true

Step-by-step explanation:

8+7= 15 and 14+3= 17

15 is not equal to 17

Answer:

B is the one equation that is NOT true.

Step-by-step explanation:

A: 9+4 is 13, and 17-4 is 13 as well. This equation is true, 13=13.

B: 8+7 is 15, and 14+3 is 17. This equation is false, because 15 is not equal to 17. Although we have our answer, we need to still check the other equations.

C: 11 is, well, 11, because nothing changed on that side of the equation. 19-8 is 11, so this is true because 11=11.

D: 5+8 is 13, and 20-7 is 13. This equation is also true, because 13=13.

The only equation that is not true, is B. (8+7 = 14+3)

Which of the following statements is not true if f(x) = 2x2 + x – 3 and g(x) = 2x3 + 3x2 – 2x – 3?

Answers

Answer:

Option 3 is not true for f(x) and g(x).

The incorrect statement will be;

⇒ f (x) × g(x) = 4x⁵ + 8x⁴ - 13x³ - 17x² + 3x + 9

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The function are,

⇒ f(x) = 2x² + x - 3

And , g(x) = 2x³ + 3x² - 2x - 3

Now,

Since, The function are,

⇒ f(x) = 2x² + x - 3

And , g(x) = 2x³ + 3x² - 2x - 3

Hence, We get;

⇒ f (x) + g(x) = 2x² + x - 3 + 2x³ + 3x² - 2x - 3

                   = 2x³ + 5x² - x - 6

⇒ g (x) - f (x) = (2x³ + 3x² - 2x - 3) - (2x² + x - 3)

                   = 2x³ + 3x² - 2x - 3 - 2x² - x + 3

                   = 2x³ + x² - 3x

⇒ f (x) × g(x) = (2x² + x - 3) (2x³ + 3x² - 2x - 3)

                 = 4x⁵ + 6x⁴ - 4x³ - 6x² + 2x⁴ + 3x³ - 2x² - 3x - 6x³ - 9x² + 6x +9

                = 4x⁵ + 8x⁴ - 7x³ - 17x² + 3x + 9

Thus, The incorrect statement is,

⇒ f (x) × g(x) = 4x⁵ + 8x⁴ - 13x³ - 17x² + 3x + 9

Learn more about the divide visit:

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HELP ASAP PLZ!!! Question in picture!

Answers

Answer:YOUR ANSWER IS C

Step-by-step explanation:

Answer:

y=11/2x-10

20 character minimum

I need help on this question it's confusing

Answers

Answer:

Well what's the question lol

Answer:

show the question

Step-by-step explanation:

Someone please help me.

Answers

Answer:

with what life

Step-by-step explanation:

A spinner has 10 congruent sections labeled with colors as shown. If the spinner is spun twice, what is the probability that the first spin will land on

yellow and the second spin will land on green?

Answers

The congruent 10 - labeled color spinner isn't attached and could not be found.

However, we could solve the problem hypothetically.

Answer:

Kindly check explanation

Step-by-step explanation:

The events here are independent events :

Probability = required outcome / Total possible outcomes

Total possible outcomes = number of divisions on spinner = 10

Required outcome = number of specified color

Therefore, Probability that first spin lands on yellow :

Number of yellow divisions on spinner / total number of divisions

Let number of yellow divisions = 3

Therefore. Probability that first spin lands in yellow = 3 / 10

Probability that second spin lands on green :

Number of green divisions on spinner / total number of divisions

Let number of green divisions = 2

Therefore. Probability that first spin lands on green = 2 / 10

P(first) * P(second)

3/10 * 2/10 = 3/10 * 1/5 = 3/50

Recall ; this is an hypothetical situation and not the original problem.

The probability that the first spin will land on yellow and the second spin will land on green is; 2/5

Conditional Probability Problem

The spinner is missing but from online search, it is discovered that from the 10 congruent sections labeled, the colors are as follows;

Yellow - 2 sections

Green - 2 sections

Red - 3 sections

Blue - 3 sections

Thus, probability of getting yellow on first spin is;

P(yellow on first spin) = 2/10

Probability of getting green on second spin is;

P(green on second spin) = 2/10

Thus, probability that the first spin will land on yellow and the second spin will land on green is;

P(1st on yellow and 2nd on green) = 2/10 + 2/10

P(1st on yellow and 2nd on green) = 2/5

Read more about conditional probability at; https://brainly.com/question/26474913

Please answer correctly! I will mark you Brainliest!

Answers

20-10=10

10-3=7

7cm

Then the volume is 7cm

Step-by-step explanation:

volume of cuboid=lbh =10*3*20 =600cm3

Are these proportional?
6/9 and 2/3

Answers

Answer:

yes.

Step-by-step explanation:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

6/9 divided by 3/3= 2/3

proportional

Help Please! Find The Circumference Of A Circle With D=22.1.

Answers

Answer:

72.25663

Step-by-step explanation:

C=2πr=2·π·11.5≈72.25663

Please help thanks!!!

For question 3, you don’t need to calculate it. Please explain the steps of how you would work it out.

Answers

Answer:

30 or 780 is your answer for the first one. i dont know how to work out the answer for the 2 one im sorry :(

Step-by-step explanation:

13+12+5 = 30

13 x 12 x 5 = 780

I would go for 780

it seems more like to be the answer

PLS ANSWER THIS AND GET BRAINLIEST !!!
A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?


A. There is no correlation between amount of bread bought and amount of rice purchased.

B. There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

C. There is a correlation between amount of bread bought and amount of rice purchased. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer:  C

Step-by-step explanation: C because there is obviously a correlation yet we cannot determine if there is causation or not.

What’s the answer????

Answers

Answer:

I believe its 10 but forgive me if I'm wrong

48/6 = 8 highlights in each box

Urgent !!!! Can someone please help me

Answers

Answer:

The answer is D

Step-by-step explanation:

They are using 135 times the weeks, but the car already had 100 miles on it to start.  Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D

Write a simplified polynomial expression that can be used to represent the perimeter of the rectangle. 3x-7 and x-7​

Answers

Answer:

P = 8x-28

Step-by-step explanation:

Given that,

Length = (3x-7)

Width = (x-7)

We need to find the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by :

[tex]P=2 (l+b)\\\\P=2(3x-7+x-7)\\\\P=2(4x-14)\\\\P=8x-28[/tex]

So, the perimeter of the rectangle is equal to 8x-28.

Question is in picture

Answers

Answer:

the answer will be 14,3 ok but check it

Help with number one only,no bad answers or links please.

Answers

Answer: 180 ft^3

Step-by-step explanation:

Answer: 180 ft is the answer

Step-by-step explanation:

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