On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1 orange, 1 apple, and 1 banana are selected (does not have to be in that order).

Answers

Answer 1

Answer:

[tex]Probability = \frac{1}{24}[/tex]

Step-by-step explanation:

Given

[tex]Oranges = 3[/tex]

[tex]Apples = 5[/tex]

[tex]Banana = 2[/tex]

[tex]Total = 10[/tex]

Required

Determine the probability of 1 orange, 1 apple and 1 banana

Since, order is not important:

[tex]Probability = P(Orange) * P(Apple) * P(Banana)[/tex]

[tex]Probability = \frac{3}{10} * \frac{5}{9} * \frac{2}{8}[/tex]

The difference in the numerator is as a result of picking the fruit without replacement

[tex]Probability = \frac{30}{720}[/tex]

[tex]Probability = \frac{1}{24}[/tex]

Answer 2

Probability is simply how likely something is to happen.

The probability of 1 orange, 1 apple, and 1 banana are  [tex]\frac{1}{24}[/tex]

On lunch counter,

Number of oranges = 3

Number of apples = 5

Number of bananas = 2

If 3 piece of fruit is selected then, probability of 1 orange, 1 apple and 1 banana

                          [tex]=\frac{3}{10}*\frac{5}{9} *\frac{2}{8} \\\\=\frac{30}{720}\\\\=\frac{1}{24}[/tex]

Therefore, the probability of  selecting 1 orange, 1 apple, and 1 banana are [tex]\frac{1}{24}[/tex]

Learn more:

https://brainly.com/question/15589719


Related Questions

After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form?


Make sure to include commas in answer


8.234 E14

Answers

i’m pretty sure the answer is 8,234 x 10^-3

(x-3) (x2+2x+1)
Foil method

Answers

Step-by-step explanation:

(x-3)(x^2+2x+1)

=x^3-3x^2+2x^2-6x+x-3

=x^3+2x^2-3x^2-6x+x-3

=x^3-x^2-5x-3

___________

The coordinate grid shows the graph of four equations:
Which set of equations has (1, 2) as its solution?

A and D
C and D
A and C
B and D

Answers

Answer:

its A and C

Step-by-step explanation:

hope this helps and mark me brainliest

The Washington monument is 555 feet 5 1/8 inches tall and weighs 90,854 tons. The monument is topped by an aluminum square pyramid. The sides of the pyramid’s base measure 5.6 inches, and the pyramid is 8.9 inches tall. Estimate the slope that a face of the pyramid makes with its base.

Answers

Answer:

3.2

Step-by-step explanation:

Imagine a straight line from the top of the pyramid to the base, the point where the line will meet the base will be half the side of the pyramid. This will form a right angles triangle.

Slope is given by

[tex]\text{Slope}=\dfrac{\Delta y}{\Delta x}\\\Rightarrow \text{Slope}=\dfrac{8.9}{\dfrac{5.6}{2}}=3.17857\\\Rightarrow \text{Slope}\approx3.2[/tex]

The slope of the face of the pyramid is 3.2

HELP ME PLEASE 40 POINTS!!!!!!!

Answers

Answer:

The answer is The first one -10/27

Answer:

A

Step-by-step explanation:

fill in the two blank boxes!!! help plzzz

sorry this is not math lol its science

Answers

the packaging one is Golgi apparatus that’s all I know sorry sis

A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. If Elena’s ice cream cost $3.50 more than jada’s ice cream, how much more did Elena’s toppings weigh?

Answers

Answer:

1 ounce

Step-by-step explanation:

so basically 1 ounce per 50 cents

the measure of an angle is 126.6 what is the measure of its supplementary angle

Answers

Answer:

The answer is 53.4°

Step-by-step explanation:

Let the measure of its supplementary angle be x

Since they are supplementary , it means that the sum of their angles add up to 180°.

To find x add up subtract 126.6 from 180

We have

x = 180 - 126.6

We have the final answer as

53.4°

Hope this helps you

1) Given h(x)=x-5
a) Determine h^2
b)determine h^3

Answers

Answer:

A) x^2-10x+25 B)X^3-15x^2+75x-125

Step-by-step explanation:

H^2=(x-5)(x-5)=x^2-10x+25

H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125

What does a temperature of what does a temperature of 9°C mean?
Choose the best answer.
✓ Choose...
The Celsius temperature is 9 degrees above zero.
The Celsius temperature is zero.
The Celsius temperature is 9 degrees below zero.

Answers

Answer:

I think it the first answer

Step-by-step explanation:

Im not positive but hope that right

Help I’m stuck and confused

Answers

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that in 375 games, 300 were won by the team that was winning the game at the end of the third quarter. The margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter with the plus-4 adjustment applied is (Show work): (5)

Answers

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by  the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]

Critical z-value for 90% confidence: z* = 1.645

Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]

The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]

Hence, the required margin of error = 0.038

Read the situations below and determine which relationship is not functional.


Situation 1: a cell phone bill to the amount of minutes used


Situation 2: the perimeter of a square to the length of one of the sides of a square


Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned

Answers

Answer:

Situation 3 is not functional

Step-by-step explanation:

Here, we want to determine if there exists a functional relationship between the properties in each situation.

For there to exist a functional relationship, then one of the factors in the situation must be dependent on the other factor in the situation.

Let us consider the situations individually now;

Situation 1

There exists a functional relationship here. This is because the higher the minutes used, the higher the cell phone bill and the lower the minutes used, the lower the cell phone bill. This is because there exists a fixed rate of charge per minute

Situation 2

There exists a functional relationship here too.

This is because, the we cannot find the perimeter of the square without knowing the measure of the sides of the square. That is why there is a mathematical formula that links the perimeter of the square to the sides of the square.

In a case where we have the perimeter as P and the sides as L

Then the functional equation linking both is;

P(l ) = 4 L

Situation 3;

There is no functional relationship here. The amount owed per each credit card is tied to the credit card in question.

There is no way the total amount owed by a person is distributed across the number of credit cards the person have. Each credit card has its own money charged on it monthly due to the activities on it which is independent on the activities of the other credit cards

Find FH. please and thank you :)

Answers

Answer:

[tex]22[/tex]

Step-by-step explanation:

If FG= 8

and GH=14

G is a midpoint

To find FH you would add 8 and 14.

[tex]8 + 14 = 22[/tex]

Answer:

add it FH +GH

=8+14

=22 ans.....

Customer bill is $333.00 20% from bill is?

Answers

Answer:

$16.65

Step-by-step explanation:

333.00 divided by 0.20

A man bought 500 mangoes and found 1/4 of them rotten .If he sold the rest of mangoes at 3.36 each making 12% profit ,what was the cost price of each mango?​

Answers

Answer:

The cost price of each mango was $3

Step-by-step explanation:

The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is

500 - 125 = 375 mangoes

Selling them at $3.36 each, he had revenue of

375*3.36=$1,260

That amount includes the 12% profit, that is, it's 112% of the cost price, thus the cost price of all mangoes is

1,260 / 112 * 100 = $1,125

The price of each mango was $1,125 / 375 = $3

The cost price of each mango was $3

Please help!!!!!! If the measure of angle 8 is 35 what is the measure of angle 4?

Answers

Answer:

35

Step-by-step explanation:

Comman knowlege. Also there is a fancy name for them because thay are the same way... Corresponding Angles

Answer:

35 degrees

Step-by-step explanation:

It is congruent to 8 and lined up so it is also 35 degrees.

Container A and container B have leaks. Container A has 800ml of water, and is leaking 6 ml per minute. Container B has1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

50 minutes

Step-by-step explanation:

First set up an inequality to find you answer like

800 - 6x = 1000 - 10x

then subtract 800 from both sides leaving you with

-6x = 200 - 10 x

Then add 10 x to both sides giving you

4x = 200

The simplify from here by dividing 200 by 4

200/4 = 50 giving you your answer

question 11 I mark as brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Yes correct I did not know

f(x)=1/3(4-x)^2 ................

Answers

No I am not answering just for the points but what is the x value?

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain View Park today, 72 had a license, and 18 did not. (No one fished at both parks.)Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license?

Answers

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

X = a fisher at Clearwater Park had a fishing license

Y = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

        = 48 + 32

        = 80

N (Y) = n (Y) + n (Y')

        = 72 + 18

        = 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

[tex]P(X'\cap Y)=P(X')\times P(Y)[/tex]

                 [tex]=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32[/tex]

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Plz help this is a quick question

Answers

Answer:

No it is the ticked one........

Hope it helps.......

2+2=4 because 2 fingers and then another 2 fingers

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes? That's right. ummmm lol

You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
A. x + 15 ≥ 60
B. x – 15 ≥ 60
C. x – 15 ≤ 60
D. x + 15 ≤ 60

Answers

Answer:

D is the correct answere

A small school with 606060 total students records how many of their students attend school on each of the 180180180 days in a school year. The mean number of students in attendance daily is 555555 students and the standard deviation is 444 students. Suppose that we take random samples of 555 school days and calculate the mean number of students \bar x x ˉ x, with, \bar, on top in attendance on those days in each sample.

Answers

Answer: 180,842,239

Step-by-step explanation:

Answer:

55

1.8

Step-by-step explanation:

Khanacademy

Slope -2/3 through (-9,10)

Answers

Answer:

y  =  − 2 /3 x  + 4

Step-by-step explanation:

Answer: y=-2/3x + 4

Step-by-step explanation:

jessie worked four more hours than Ben. They worked a total of 25 hours. How many hours did each boy workz?

Answers

Answer:

jessie: 14.5

ben: 10.5

A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month

Answers

Answer:

she uses 72 gallons

Step-by-step explanation:

just do 144/2 and the answer is 72

if you wanna check your answer just do 72x2 and it equals 144

72 galloons because 144 divided by 2 which is the price per gallon then it is 72

(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)

Answers

Answer:1

Step-by-step explanation:6-5/3-2=1/1

What are the values for a and b?

Answers

Answer:

a= 10 b= 6

Step-by-step explanation:

When multiplying exponents they should be added together and when dividing they should be subtracted from each other.

2+8=10 & 10-4= 6

Ddghhhdww a12:-689fggggfa ehh
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