Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)

Answers

Answer 1

Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇


Related Questions

A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?


Write a division equation to represent this situation, then answer the question.



Answers

9514 1404 393

Answer:

  (9/10)/(2/5) = ratio of work times

  2 1/4 times as long

Step-by-step explanation:

Given:

  2/5 hours work in the morning

  9/10 hours work in the afternoon

Find:

  an equation for how many times as long was afternoon work compared to morning work

  the equation solution

Solution:

  a/m = r . . . . ratio of afternoon work to morning work

  (9/10)/(2/5) = r . . . equation

  (9/10)/(4/10) = r

  9/4 = r = 2 1/4 . . . solution

The builder worked 2 1/4 times as long in the afternoon as in the morning.

a pice of land was sold for rs. 1,20,000 a broker who recived 1.5% of commision. THe broker gets amount of Rs.____

Answers

Answer:

If you meant rs.1,200,000 then the answer would be rs.18,000

If you meant rs.120,000    then the answer would be rs.1,800

Step-by-step explanation:

Please mark B R A I N L I E S T

my favorite snack after a long day at school

Answers

Answer:

My dog

Step-by-step explanation:

Answer:

cheese doodles is it.

Also subscribe to Random Topics trending in youtub.

Step-by-step explanation:

A store buys lawnmowers from the manufacturer and marks

up the price by 40% to arrive at a retail price. Fill in the

blank: The wholesale price is times the retail price.

Answers

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle

will mark brainliest asap.

answer choices

Yes, it is a right triangle because 72 + 52 = 82.

No, it is not a right triangle because 72 + 52

82.

Yes, it is a right triangle because 72 + 52

82.

No, it is not a right triangle because 72 + 52 = 82.

Answers

Answer:

Step-by-step explanation:

O=0O

KO[K]

subtract -2/3- (-2/5)

Answers

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?

Answers

Answer:

478miles

Step-by-step explanation:

32=1gallons 32×15 = 510miles

15g

510- 32= 478miles

Help me and also show steps thanks will mark brainliest.

Answers

2. If you follow the main equation y=mx + b using the numbers provided by the table, you will be able to generate the adequate equation. In this case is: y=7/3x + 1

3. Every second the bird drops 50 FT of altitude.

APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.

Answers

Step-by-step explanation:

x=9

therefore,

each sides length is 9

5x-7=3x+11

=5x-3x=7+11

=2x=18

=x=9

See the attachment plsss

Question 1 of 5 Find the difference. (12m + 1) - (5m - 4) O A. 7m + 5 O B. 17m-3 O C. 17m+ 5 D. 7 m - 3​

Answers

Answer: 7m + 5

Step-by-step explanation:

Distribute the Negative Sign:

=12m+1+−1(5m−4)

=12m+1+−1(5m)+(−1)(−4)

=12m+1+−5m+4

Combine Like Terms:

=12m+1+−5m+4

=(12m+−5m)+(1+4)

=7m+5

(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.

Answers

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade

Answers

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

Will somebody help real fast I will give brain??​

Answers

Answer:

the aswer is A

Step-by-step explanation:

Answer:

D. -4,1,7,15

Step-by-step explanation:

Range is the y axis

All of the following are terminating decimals except _____.

Answers

We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.

help me please click link to go to question

brainly.com/question/19566932?answeringSource=feedPublic%2FhomePage%2F2

Answers

Answer:

okay thank you. ummmm yes well it's not loading

1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment

of $25 per month. What is the rate of change, including units ?

Answers

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

[tex]y=450-25x[/tex]     ...(i)

The slope intercept form is

[tex]y=mx+b[/tex]     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

[tex]m=-25[/tex]

Therefore, the rate of change is -25 dollars.

Solve and graph.
3<4-2x<6

Answers

Answer:

X ( - 1, 1/2)

Step-by-step explanation:

4 - 2x > 3

4 - 2x < 6

Then solve the inquality for x

X< 1/2

X > - 1

Then u get the answer x ( - 1, 1/2)

Note: [ 1/2 is 1 over 2]

Step-by-step explanation:

3<4-2x 4-2x<6

-1<-2x -2x<2

1/2>x x>-1

x<1/2

the graph shown in pic

9. Which of the following equations has NO solution?

A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2​

Answers

Answer:

C. a +2 = a - 2

Step-by-step explanation:

a + 2 = a - 2

a + 4 = a

4 = 0

Which expression is equivalent to sqrt(80)?

Answers

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K

Answers

Answer:

(-5,5)

Step-by-step explanation:

what is the measure of the larger angle in this degree?​

Answers

Answer:

A straight line is equivalent to 180 degrees with that in mind,

(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15

Now to find the measurement of the larger angle,

9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.

The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Saturday nights

Answers

what city lol? sorry i just need to answer so i can ask question bc i’m lost lol

1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI

Answers

Answer:

The correct answer is B

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1

Answers

A. 40%
B. 56.25%
C. 33.3333%
D. -88.8888%

What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125

Answers

Answer:

-125

Step-by-step explanation:

The answer is B . -125

Solve for x helppp(10 points)

Answers

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

126×(−55)+126×5 STEP explanation ​

Answers

Your answer is: -6300

Hope this helps and happy holidays!!

A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?

Answers

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer: 20 tablets
I did the equation I’m my head

Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.

Answers

Answer:

C or the graph with continuous acceleration (straight line)

Step-by-step explanation:

It's the right answer on edguinity

Answer:

c

Step-by-step explanation:

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