Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They are having trouble deciding who will do what task, so they came up with a method based on probability. Letitia grabs some spoons and puts the is a bag. Some have purple handles and others have green handles. Scott has to pick two of the spoons. If their handles are the same, Scott will wash. If they are different colors, he will dry. It turns out there are two purple spoons and three green ones. What is the probability of Scott washing the dishes?

Answers

Answer 1

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

[tex]P = 2[/tex]

[tex]G = 3[/tex]

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

This gives:

[tex]P(G_1\ and\ G_2) = P(G_1) * P(G_2)[/tex]

[tex]P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{10}[/tex]

[tex]P(P_1\ and\ P_2) = P(P_1) * P(P_2)[/tex]

[tex]P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{1}{10}[/tex]

Note that: 1 is subtracted because it is a probability without replacement

So, we have:

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

[tex]P(Same) = \frac{3}{10} + \frac{1}{10}[/tex]

[tex]P(Same) = \frac{3+1}{10}[/tex]

[tex]P(Same) = \frac{4}{10}[/tex]

[tex]P(Same) = \frac{2}{5}[/tex]


Related Questions

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.

Two power providers are marketing their electricity plans to residential customers. Everyday Electric Company offers a plan with a base cost of $50 per month plus $0.075 per kilo-watt-hour (kwh) used. Consumer Power Limited offers a plan with a base cost of $30 per month plus $0.125 per kilo-watt-hour (kwh) used. Which graph correctly compares the cost of these competing electricity plans?`

Answers

Answer:

D

Step-by-step explanation:

Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8

Answers

Answer would be 1
Add all the temperatures together. Divide the sum by the amount of temperatures are are and boom there is your answer

What is the value of x in the equation below?
12 – 2(x-1)=6

Answers

X=25 in this equation. But if u divide by 12 it’s -25
X=-2
You would distribute the -2 and Zoe 1 and 1*-2=-2



Please help me I will give u points whenever u wanna only Percy answers pleaseee ❤️
And don’t forget about explain

Answers

Answer:

this point is 72 digri ok

The answer to this question is 72 I believe so

Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12​

Answers

Answer:

x = 0, -2

Step-by-step explanation:

Ali travelled 75% of her journey to work by taxi. If his total journey is 12km, what distance did she travel by taxi? don't send in file please​

Answers

75/100 multiply by 12 that gives 9km

find the value of two numbers if their sum is 39 and their difference is 1

Answers

20+19=39

20 is 1 more than 19 making 19 1-less than 20. The difference is 1 between the two numbers

which is the simplified form for
2(3a+5)+8(a-1)

a. 20a+10
b. 18a+9
c. 12a+14
d. 14a+2


miku nakano here

Answers

LOL.

2(3a + 5) + 8(a - 1)

= 6a + 10 + 8a - 8

= 6a + 8a + 10 - 8

= 14a + 2

Answer: Choice C. [ 14a + 2 ]

Which number completes the sequence ?

Answers

Answer:

12

Step-by-step explanation:

1st circle - [tex]1+3+6=10[/tex]

3rd circle - [tex]6+2+5=13[/tex]

2nd circle is proboably the same way.

could someone help me with this

Answers

The answer is:

5.7•10^-3

Each letter in the word THEORETICAL is placed on a separate piece of paper and placed in a
hat. A letter is chosen at random from the hat. What are the odds against pulling a T?

Answers

Answer:

sorry men this is not the answer

Step-by-step explanation

Felicia is solving the expression - 5(3x + 2) + 10x. Gregory is solving the expression -12 - 4x +?+?x.
Both students simplified their answers to get the same expression. What are the values
missing from Gregory's expression?

Answers

Answer:

-5x-10 is the expression. the missing values would be 2 and -x i believe

What’s the answer ?

Answers

The answer should be D
Last one
Is the correct answer

Finding slope..

Photo included^

Answers

Answer:

slope=2/3

y intercept=4

Step-by-step explanation:

-6,-5,-4,-3,...rule
What is answer ​

Answers

Answer:

[tex]a_{n}[/tex] = n - 7

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 1 , then

[tex]a_{n}[/tex] = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7

Determine the approximate length of the segment AD *

Answers

Answer:

35/6

Step-by-step explanation:

The right angle triangle ABC which has another triangle BCD, the length of segment AD is,  9.73 cm

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Two triangle,

ΔABC and ΔBCD

Side lengths are ,

AC =  19cm

BC  =  8cm

DC  =  11cm

AC² = AB² + BC²

19² = AB² + 8²

AB = 17.23

Another  ΔBCD

11² = DB² + 8²

DB = 7.5

The length of AD =  AB - DB

                             =  17.23 - 7.5

                             =   9.73

Hence, the length of the segment is 9.73 cm

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https://brainly.com/question/343682

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Joshua has 3.95 pounds of candy. He is placing the candy into 5 equal size bags. How much candy will be in each bag?





Answers

each one should be 0.79 pounds. this was found through basic division.
0.79 pound of candy in each bag

WILL GIVE BRAINLIEST FOR BEST ANSWER NO LINKS!!!!*Use the data from the dot plot below to answer the question. The data shows games of a soccer season and the number of goals scored in each game.
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Question 5 options:


3



0, 7



1, 4, 5, 6



2

Answers

0, 7

0 and 7 have the least amount of dots.

can someone help me I’m stuck on this and can’t figure it out

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

19.99 - 3.998(20%) = 15.992 which when rounded is 15.99

How to write the equation for ¨The quotient of x and three increased by 12 is 20. What is x?

Answers

Answer:

x/3 + 12 = 20

Step-by-step explanation:

PLSSS HELP IMMEDIATELY!!!! i’ll give brainiest, if u don’t provide just a link! answer choices: (4,6) , (0,1) , (0,0) , (5,4)

Answers

Answer:

try (4,5)

Step-by-step explanation:

that is where the points meet I think it is that I am not sure sorry if it is wrong

Sorry the lines aren’t even but this should be correct

do perpendicular lines intersect at a 60 degree angle?

Answers

No, they intersect at a 90 degree angle.

Answer:

Perpendicular angles create a 90 degree angle

Step-by-step explanation:

The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.




Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D?​

Answers

I am stuck on same one

Answer:

x, y) → (1.5x, 1.5y)

Step-by-step explanation:

In 1945, what concern did the Allies have about invading the Japanese mainland with ground forces? They were worried they did not have enough soldiers. They were worried there would be too great a loss of life. They were worried the Japanese were developing an atomic bomb. They were worried the Japanese had a stronger fleet in mainland ports.

Answers

Answer:

b

Step-by-step explanation:

i need points

In 1945, the concern which the Allies had about invading the Japanese mainland with ground forces was:

B. They were worried there would be too great a loss of life.

What is an Invasion?

This refers to a military tactic where the armed forces of a country or a place go into enemy territory with the aim of defeating the troops and claiming the territory.

With this in mind and from the events in history, we can see that after the bombing of Pearl Harbor by the Japanese Navy, there were concern by the Allies of invading the Japanese mainland with ground forces because they feared the great loss of life.

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What is the twelfth term in the sequence with nth term formula 5/6+1/2n? Give your answer as a top-heavy fraction in its simplest form.

Answers

Given:

The formula for nth term of a sequence is:

[tex]\dfrac{5}{6}+\dfrac{1}{2}n[/tex]

To find:

The 12th term in the given sequence.

Solution:

Consider the formula for nth term of a sequence:

[tex]a_n=\dfrac{5}{6}+\dfrac{1}{2}n[/tex]

Putting [tex]n=12[/tex], we get

[tex]a_{12}=\dfrac{5}{6}+\dfrac{1}{2}{12}[/tex]

[tex]a_{12}=\dfrac{5}{6}+6[/tex]

[tex]a_{12}=\dfrac{5+36}{6}[/tex]

[tex]a_{12}=\dfrac{41}{6}[/tex]

Therefore, the 12th in the given sequence is [tex]\dfrac{41}{6}[/tex].

PLEASE HURRY ILL GIVE BRAINLIEST Emma is going to invest in an account paying an interest rate of 3.7% compounded continuously. How much would Emma need to invest, to the nearest dollar, for the value of the account to reach $1,130 in 18 years?

Answers

Answer:

581

Step-by-step explanation:

The formula is V=BH Base= 1/2BH Solve ---

Answers

Answer:

V = 36 cm³

Step-by-step explanation:

V = 1/2(3)(4)(6) = 36 cm³

6р + 22 – 10
Help me please

Answers

Answer:

P = -2

Step-by-step explanation:

6p +22 =10

     -22    -22

6p= -12

6       6

p=  -2

Im pretty sure thats it.

A sofa is 7 feet 5 inches long. How many inches is the sofa?

Answers

89 inches!

Because each foot is 12 inches and 12*7=84 and 84+5=89!

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