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]

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https://brainly.com/question/15589719


Related Questions

In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was
determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken What is the probability that fewer than 4 are retired people

Answers

Answer:

a) 0.1108

(b) 0.0173

Step-by-step explanation:

We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.

Firstly, the binomial probability is given by;

where, n = number of trails(samples) taken = 25

r = number of successes

p = probability of success and success in our question is % of

retired people i.e. 20%.

Let X = Number of people retired

(a) Probability that exactly seven are retired people = P(X = 7)

P(X = 7) =

= = 0.1108

(b) Probability that 10 or more are retired people = P(X >= 10)

P(X >= 10) = 1 - P(X <= 9)

Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9

So, P(X >= 10) = 1 - 0.98266 = 0.0173.

during his vacation, dalyn rents a small boat from a rental service that charges a flat fee of $40 plus $10 per hour (including taxes). The total charge comes to $100. Which equation can be used to calculate the number of hours, x, that Dalyn rents the boat?

Answers

Answer:

(100 - 40) ÷ 10 = amount of hours

= 6 Hours

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Video games made up 77.8% of the total revenue for a small specialty store.
A) 0.0778 B) 7.78 C) 77.8
D) 0.778
Timod at home while attending classes

Answers

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?

Answers

Answer:

0.0263

Step-by-step explanation:

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Answers

In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?

Answers

Answer:

A. [tex]\frac{m}{65} = h[/tex]  

I hope this helps!

Swear no one answers but plz show work ?!

Answers

For question 1: formula is
A) 2^x=8, Whats x? Answer: 3
B) x=6^2 then answer: 36
C) 2^x=1/4 Whats x? Answer: -2
D) x^2=9 then you square root it and you’ll get +3 and -3. Since you can’t have (-) answer: 3
E) undefined because a logarithm of a negative number does not exist in set of real number
Hope this helps :)

I needs help how do i shave my ba. lls​

Answers

Answer:

WHAT THE FAWK SRE YOU SAYING AND WRITING

Answer:

truste me dont!

Step-by-step explanation:

Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5

Answers

Answer:

c

Step-by-step explanation:

The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the

coordinates of B?

Answers

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

1. which group weighed the most per item on the scale? how much did it weigh?

which group weighed the least per item on the scale? how much did it weigh?

And also complete the table.

Please help it is due right now ASAP​

Answers

Answer:

cars weighed the most per item and desks the least

Plizzz helppp I don't know how to do it helpp​

Answers

Answer:

Lol I'll help you. So for the 1st problem, you need to subtract 7x from 4x but if your looking for and answer then x=2. For the 2nd problem subtract 3x-5x and 7 + 9 which brings you to -2x - 16 which means you would have to find x in this problem which means x has to be a negative. The negative answer is x= -32 since a negative x a negative is a positive. Which brings you to 16-16 and then 0. For the third one, you need to change the problem. Turn it into 5x - x = 4 + 8 which brings you to 4x = 12 making x =3. and for number 4 you need do the same as we just did and do 11x - 6x - 3x and then do 20 - 6 which brings you to 2x = 14 which makes  x=7.

Step-by-step explanation:

Oh yeah I guess you can get me some stuff to get me some food lol I love it

Please help me for a TEST review tomorrow!!

Answers

Answer:

Hope you understand my writing!

A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?

Answers

Answer:

30b+10v

Step-by-step explanation:

What is the Esquire root of 3?​

Answers

Answer:

1.732

Step-by-step explanation:

.......................

Answer: 1.7321


Explanation: The square root of a number is a value that, when multiplied by itself, gives the number. For 3 , that number is 1.7321 .

I hope you find this helpful.

What isthmus solution to the equation 2x+2=10

Answers

Answer:

addition

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10-2=8

8/2=4

Hope this helps!

Question
An amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for this
loan is below. Payments of $1,530.73 are made monthly.
Payment #
1
2
Payment Interest
1,530.73 966.67
1, 530.73964.79
1.530.73 962.90
Debt Payment
564.06
565.94
567.83
Balance
289, 435.94
288, 870.00
288, 302.17
3
4
X
5
Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commas
or the dollar sign in your answer.
Provide your answer below:

Answers

The Answer is

$287732

I wish you all the best of luck

What is 27 5/6 - 2/7?

Answers

Your answer would be 27 23/42

Answer:

my calculator says 1159/35

Step-by-step explanation:

Five more than Bob’s age is 23. How old is Bob? equation

Answers

Answer:

18 Years Old

Step-by-step explanation:

23 - 5 = 18 Years Old

Hope this helps! <3

Answer:

18 yeara old

Step-by-step explanation:

let Bob's age be 'x'

5 more than Bob's age means

5+x ...is 23

Therefore, 5+x=23

x= 23-5

18

Bob is 18 years old.

Hope it helped.

Answer this please and thank you

Answers

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x

Answers

Answer:

O-O is this highschool stuff sorry couldnt help

Step-by-step explanation:

Solve the inequality. Graph the solution. -4s<6s +1

Answers

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

Answers

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Show your work:
−15x = 0

Answers

Answer:

Step-by-step explanation:

-15x = x = 0/-15

x = 0

Step-by-step explanation:

-15x=0

-15x/-15=0/-15

x=0

-15(0)=0


Which relation is a function?
(8,-4), (8,2), (3, -3), (3, 1), (-1,-1)
(2.0), (4,0), (2, 1), (4, 1), (2, 3)
(2, 1), (4,2), (6,4), (7,5), (8, 6)
(3, 8), (7, 6), (5,5), (4,4), (3, 2)

Answers

3.) (2,1), (4,2), (6,4), (7,5), (8,6)

This is my last question.

Answers

Answer:

NOM and POR

(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)

what is the product 7/11 and 3/7?​

Answers

Answer:  3/11

Step-by-step explanation:

you must do cross canceling to simplify the expression

then just do multiplication from left to right

7/11 times 3/7 the 7 can be crossed out and turned into a 1

then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11

Can you help me please

Answers

It would be 94/2 because bisect is half of the angle and 94 divided by 2 is 47

0.8 kg is more or less than 0.6 kg

Answers

Answer:

More than

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3

Answers

Yesss I get it periodttt poooh

Answer:

0.0018

Step-by-step explanation:

P(z>2.88)=1-0.9980= 0.0018

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