Suppose you have a jar with 14 red marbles and 26 black marbles. You randomly select a marble from the jar without replacement. If the marble is red, then you add 9 yellow marbles to the jar and randomly select another marble from the jar. If the first marble is black, then you add 13 blue marbles to the jar and randomly select another marble from the jar. Determine the probability of the following. (Enter each probability as a fraction.)A) the second marble is a blue marble

Answers

Answer 1

Answer: alright well if you pulled out a blue marble on the second go then you can make the connection that you had originally pulled out a black marble on the first go.

so the probability of pulling out a blue marble on the second go is 13/52

"13" is the original number of blue marbles added after selecting the black marble
"52" is me simply add up all the marble in the bag..the 14 red marbles, 26 black marbles minus the 1 pulled out and not replaced so now its 25 and the 13 blue marbles added last.

Answer 2

Answer:

Final answer:

The question relates to sequential probability. A black marble must be picked first to add blue marbles to the pot. The combined probability of these events is 169/1040.

Explanation:

The subject is probability within mathematics. In order to determine the probability of picking a blue marble as the second marble, it is important to understand that this can only happen if a black marble was chosen first (because blue marbles are only added after a black marble is chosen). Initially, we have 14 red marbles and 26 black marbles. Therefore, the probability of picking a black marble first is 26/40.

After the first black marble is chosen, 13 blue marbles are added, making the total number of marbles 53. As a result, the probability of picking a blue marble as the second draw is 13/53.

Since these are sequential events, we multiply the probabilities together. Therefore, the probability of the second marble being blue is (26/40) * (13/53), which simplifies to 169/1040 or approximately 0.1625.

Learn more about Probability here:

brainly.com/question/22962752

#SPJ2

Related Questions

Solve for x: x to the negative 3rd power is equal to 27 over 64
Which is a long-term consequence of making late payments on your bills? It will be harder to secure a new loan at a low rate. The balance in your checking account will be negative. There will be a late fee. The number of payments will increase.
What is larger 3/5 or 5/9
How do you prove (3x+2)2 is equivalent to (3x+6)(3x-2)+16i have tried expanding the brackets but I'm still really stuckthankyou in advance
16. Expand (2x - 1)(x - 3).A. 2x2 - 7X+3 B. 2x2 +7x+3C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3

Compare the numbers 5.0 and 0.5. how many times greater is 5.0 than 0.5

Answers

5.0 is 10 times greater than .5

when a number is multiplied by ten, the decimal moves one place to the right

at a concession, stand seven hotdogs and two hamburgers cost $12.75; two hot dogs and seven burgers cost $16.50. find the cost of one hot dog and one burger.

Answers

The answer is $2.25 for the hamburger and $1.25 for the hot dog. I think my answer is right. hope it helps!!

Jose Rodriguez's checking account had a starting balance of $1,234.56. He wrote a check for $115.12 for plumbing supplies and a check for $225.00 for a loan payment. Yesterday he deposited $96.75 in his checking account. What is Jose's current balance? A. $1,441.19 B. $991.19 C. $894.44 D. $1,477.93

Answers

First we need to subtract the payments he made for plumbing supplies and his loan. Then we must add the sum he deposited. So in total we have: 1234.56 - 115.12 - 225 + 96.75, which gives us 991.19. The correct answer is B.

Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.a. k[p(x)] = 5x − 12
b. k[p(x)] = 5x − 28
c. k[p(x)] = 5x2 − 12
d. k[p(x)] = 5x2 − 28

Answers

Composite functions are function of functions. The correct value of k[p(x)] for given context is given by: Option b. k[p(x)] = 5x − 28

What are function of functions and how are they represented?

Function of functions, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as

$(f\circ g)(x)$

where the x is the input to first function.

Thus, we have;

$(f\circ g)(x) = f(g(x))$

For given context, the functions are:

$k(x) = 5x - 8 \np(x) = x - 4,$

Composing them to get k[p(x)], we need to put whatever p(x) output as input to k(x).
Thus,

$k(p(x)) = 5(p(x)) - 8\n\nk(p(x)) = 5(x-4) - 8 = 5x - 20 - 8 = 5x - 28\n$

Thus,

The correct value of k[p(x)] for given context is given by: Option b. k[p(x)] = 5x − 28

Learn more about composite functions here:

brainly.com/question/24780056

Answer:

k [p(x)] = 5x -28 .

Option (b) is correct .

Step-by-step explanation:

As given the expression in the questions are

k(x) = 5x - 8

p(x) = x - 4

k [p(x)] = k (x-4)

= 5 × (x-4) -8

= 5× x - 5 × 4 - 8

= 5x - 20 - 8

= 5x - 28

Thus

k [p(x)] = 5x -28

Therefore k [p(x)] = 5x -28 .

Option (b) is correct .

Jane Hilman went to her bank. She had a balance of $2,539.78 in her savings account. She withdrew $150.00 and the teller credited her account with $6.19. What is her new balance?The new balance will be $ ____

Answers

Answer:

New Balance of Jane Hilman savings account = $2395.97

Step-by-step explanation:

Amount of money Jane Hilman had in her account = $2539.78

Amount of money withdrew by her when she went to the bank = $150

Amount of money left in her account after withdraw = 2539.78 - 150

= $2389.78

Also, Teller credited her account with $6.19

And we need to find the new balance of Jane Hilman account

Thus, New Balance of Jane Hilman savings account = 2389.78 + 6.19

= $2395.97

$150-$6.19=$143.81

2,539.78-143.81=2395.97

Once you have a single variable isolated in one of the two equations in a system, the second step of using substitution to solve the system of equations is to __________. A. solve for the second variable in the other equation. B. solve for the second variable in the same equation. C. substitute the expression equal to the solved variable into the other equation. D. substitute the expression equal to the solved variable into its original equation.

Answers

Answer:

Step-by-step explanation:

Given that there is a system of equations in two variables. When we have a single variable isolated in one of the two equations in a system, we can use substitution method.

So we substitute this variable in terms of other variable in the second equation so that we get now an equation in one variable. We can solve this by mathematical operations easily.

Hence correct answer is

C. substitute the expression equal to the solved variable into the other equation.

I think C, not sure though :)

Other Questions

Can u estimate 3.657 and 2.908

Katie went to buy a new tv and finds one for $550.00. In the state of Texas, there is a 6% sales tax on items. How much did Katie pay for the TV including the tax?

Find the remainder when f(x) = x3 − 14x2 51x − 22 is divided by x − 7.

What is the result when the following code is run? double x = 1; double y = 1; int i = 0; do { y = x / 2; x = x + y; i = i + 1; } while (x < 2.5); System.out.print(i + " ");