Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

Answers

Answer 1
There are 49 total marbles, the chance of you getting a red is 17/49, and if you don’t replace the marble and pull out another one, the probability of that being red is 17/49*16/48=17/147. That’s approximately a .12% chance.
16/48=1/3
Answer 2

The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

A jar contains 17 red marbles and 32 blue marbles.

If we pull out 2 marbles at random, we need to find the probability that both are red.

The number of possible outcomes,

[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]

The number of possible outcomes of selecting both the red marbles.

[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]

The probability that both the marbles are red,

[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]

Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]

Learn more about the probability here:

brainly.com/question/11234923

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Related Questions

Please Help!
what is the resultant of the two vectors shown above?​

A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)

Answers

Answer:

D 5 5 it has to be the answer

Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below
the regular cost. How much will the book cost before taxes if Judy is to buy it while it is on sale?
Round to the nearest cent.

Answers

Answer:

$49.28 is the sale cost.

Step-by-step explanation:

0.35 x 75.82 = 26.537

75.82 - 26.537

= 49.283 and round

The selling cost of the book will be equal to $49.28.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below the regular cost.

The selling cost of the book will be calculated as,

Selling Cost = 0.35 x 75.82 = 26.537

Selling Cost  = 75.82 - 26.537

Selling Cost  = 49.283

To know more about an expression follow

https://brainly.com/question/2222681

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A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?

Answers

Answer::2,075,673,600 batting orders may occur.

Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.

Find the discriminant of the quadratic equation.

2i2+6i=4

Answers

[tex] {2i}^{2} + 6i = 4 \\ {8i }^{2} = 4 \\ 8i = \sqrt[2]{4} \\ 8i = 2 \\ i = \frac{2}{8} \\ i = \frac{1}{4} [/tex]

- BRAINLIEST answerer

Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?

Answers

Answer:

Step-by-step explanation:

300(0.70) + 200(0.95) = (300 + 200)x

                             400 = 500x

                                  x = 0.80

                                          80%

In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 16.9 kilogram. What was the puppy’s weight increase?.

Answers

16.9 minus 13 equals to 3.9 increase

Answer:

3.9

Step-by-step explanation:

16.9 take away 13 and you get 3.9 kilograms

which is the first question in brainly

Answers

Answer:

this question

Step-by-step explanation:

Answer:

The first question was this: https://brainly.com/question/420 ur welcome :)

Step-by-step explanation:

Is this a function or not a function?

Answers

Answer:

This is indeed a function

Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.

Answers

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]

So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is

[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]

[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]

6 + 2f = 8

f =

what the awnser i need help

Answers

Answer

f= 1

step by step explanation

4 examples of one step equation

Answers

Answer:

Step-by-step explanation:

x + 14 = 20

4 = x²

x/4 = 50

x - 7 = 1

4/2 - (-2/3)

im confusedddd lol

Answers

Answer:

2.66666666667

or

266666666667/100000000000

Step-by-step explanation:

9514 1404 393

Answer:

  2 2/3

Step-by-step explanation:

The minus signs cancel, so the sum is ...

  4/2 +2/3

The improper fraction on the left reduces to 2, so this is ...

  2 +2/3

That sum is simply the mixed number 2 2/3.

Can someone answer these questions? Thank you!

Answers

Answer:

It's not a function

Because it's not a function, you don't have to answer b and c

Solve

-x + 4 = x + 6

Answers

Answer:

-1

Step-by-step explanation:

1. subtract 4 from both sides

-x = x+2

2. subtract x from both sides

-2x = 2

3. divide both sides by 2

simplify

x= -1

Hope this helps :)

If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.

Answers

50%=100%/2

26*2 = 52

Original price is 52 dollas

Answer:

52

Step-by-step explanation:

please mark brainlest

SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of 4

Answers

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

Find the probability if three dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)

Answers

Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.

For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, 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:

There are three throws, hence [tex]n = 3[/tex].A five is one of the six sides, hence [tex]p = \frac{1}{6} = 0.1667[/tex]

The probability that it comes up five exactly once is P(X = 1), hence:

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

[tex]P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472[/tex]

0.3472 = 34.72% probability that it comes up five exactly once.

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

1. BC=DA
how do i find the reason

Answers

Answer:

sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.

1. A line that passes through the
points (4,1) and (8,3)

Answers

Answer:

If they want the slope, it is 4/2

Step-by-step explanation:

In a scale drawing of a painting. 1 centimeter represents 5 inches.

scale 1 cm :5 in

Answer the following

(A) The height of the real painting is 25 inches. What is the height of the painting in the scale drawing?

______ cm

(B) In the scale drawing, the lenght of the painting is 6 cm. What is the lenght of the real painting?

____ inches
Please no links just answers :)

Answers

Answer:

a(5

b)30

Step-by-step explanation:

in the first one you divide 25 by 5

in the second one you multiply 6 times 5

What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?

(Giving brainliest, 5 stars and a thanks)

Answers

Answer:

3/7

Step-by-step explanation:

it is -1/21 as a fraction

What is 2,000/3.67 estimate

Answers

Answer:

an estimate would be 2000/4 so it would be 500

Step-by-step explanation:

hope this helped <3

A table is on sale for 32% off. The sale price is $459.
What is the regular price?

Answers

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]

$675 is the regular price. $459 is 68% of the original price. (100-32=68). To find the original price you would do 459 divided by 0.68 and would get 675. To check that you would do 675 times 0.68 and would get 459. I hope this helps

Phil uses the model below to help him with multiple decimals. write a multiplication equation to represent the decimal model.​

Answers

Multiplication equations can be modeled using decimal models.

The multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

From Phil model, we have the following highlights

50 boxes are shaded vertically90 boxes are shaded horizontally

So, the multiplication expression is:

[tex]\mathbf{\frac{50}{100} \times \frac{90}{100}}[/tex]

Express as decimals

[tex]\mathbf{0.50 \times 0.90}[/tex]

Multiply

[tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

Hence, the multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

Read more about decimal models at:

https://brainly.com/question/19979966

8x + 1/3 = 2/3 what is the answer?

Answers

Answer:

1/24

Step-by-step explanation:

8x + 1/3 = 2/3

    - 1/3   - 1/3

8x = 1/3

8x/8 = (1/3)/8

x = 1/24

What is the answer to the equation 56/3+7=

Answers

Hey there!

56/3 + 7

= 56/3 + 7/1

= 56/3 + 21/3

= 56 + 21/ 3 + 0

= 56 + 21/3

= 77/3

≈ 25 2/3

≈ 25.666667

Therefore, your answer is: [77/3] which is approximately [25.666667]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Help help math please please

Answers

Answer:

x = 42

Step-by-step explanation:

2x + 8 + 2x + 4 = 180

4x + 12 = 180

4x = 168

x = 42

I don’t know but I really need answers I don’t know but I really need

Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?

Answers

Answer:David bought an identical mailbox for $ 19.95 at a different store.

Step-by-step explanation:

David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough

PLEASE ASAP HELPPPP PICK THEM ALL!!

Answers

Answer:

B

Step-by-step explanation:

Help, with my homework. Please represent 2x^-5x-12 using algebra tiles

Answers

Answer:

2−4−12

Step-by-step explanation:

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