Suppose you are going to draw two cards from a standard deck without replacement. What is the probability that the first card is an Ace and the second card is a Jack?

Answers

Answer 1

Answer:

4/663

Step-by-step explanation:

1/13 = probability of ace (as 1st card)

4/51 = probability of jack (as 2nd card) -->

4/663

Answer 2

The probability that the first card is an Ace and the second card is a Jack without replacement will be 0.00603318 or 4/663.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

Without replacement will be dependent events.

Probability of dependent events

P(A and B) = P(A) × P(B/A).

Probability of the first card as  Ace = 4/52 ( 4 are Aces out of 52 cards)

Probability of the second card as jack = 4/51 ( since 1 ace has been removed)

P( Ace and Jack ) =  4/52 ×  4/51 = 4/663 = 0.00603318

Hence the probability that the first card is an Ace and the second card is a Jack will be 0.00603318.

For more information about the probability,

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Related Questions

14)
Solve the equation for x.
6(4x - 10) = 84
A)
2
B)
3
4.
6

Answers

Answer:

ig D)))))))...

Step-by-step explanation:

......

6*4x = 24x

6*(-10) = -60

24x - 60 = 84

Add 60 to both sides

24x = 144

Divide both sides by 24

x = 6

A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a second blue marble is drawn?

Answers

Answer:

[tex]\frac{25}{64}[/tex]

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

[tex]=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}[/tex]

When 8=8 is it infinite solutions, no solutions

Answers

Answer:

infinite

Step-by-step explanation:

no solution would be something like 8=4 because it is not true

Answer:

Infinite solutions

Step-by-step explanation:

Simplify 4x-3(x-2y)+ .5(6x-8y)

Answers

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

The function h(x) shown is the result of combining two functions, f(x) and g(x), by addition. Which statement could be true of the two functions? The domains of both f(x) and g(x) must be (–[infinity], [infinity]). The domains of both f(x) and g(x) must be (0,[infinity]). The domain of f(x) is (–[infinity], 0), while the domain of g(x) is (0, [infinity]). The domain of f(x) is (–[infinity], 0], while the domain of g(x) is [0, [infinity]).

Answers

Answer: The domains of both f(x) and g(x) must be (–∞, ∞). your welcome

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

BJ added a cell phone to his familys plan his phone costs $5 a month how much does his phone cost him over 6 months?



help meeeeeeeee fammmm​

Answers

Answer:

30

Step-by-step explanation:

6 x 5 is 30.

prime numbers less than 30

Answers

Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

Answer:

Hey!

All the Prime numbers under 30 are...

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-by-step explanation:

HOPE THIS HELPS!!

Find the surface area of the prism. Write your answer as a fraction or mixed number.

Answers

Answer:

2⅔ ft²

Step-by-step explanation:

A cube has 6 square faces

6 × (⅔)²

6 × 4/9

8/3

2⅔

Answer:

[tex] 2\frac{2}{3} {ft}^{2} [/tex]

What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters

Answers

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

9(p-4) = -18 Please help guys!

Answers

Answer:

Step-by-step explanation:

Someone please help

Answers

Answer:

42

Step-by-step explanation:

The difference of each letter times 2 get you the next number in the sequence.

can someone help me with this question ​

Answers

Answer:

Female:

Total 26

Male:

Rovers 9

City 8

Total 24

Total (along the bottom):

Rovers 20

United 10

Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)

Answers

Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

Answer:

[tex]23n + 13[/tex]

Step-by-step explanation:

[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which radical equations produce imaginary values of y for the given values of x?

There may be more than one correct answer. Select all that apply.

Answers

Answer:

Option 2

Option 4

Option 5

Option 6

Step-by-step explanation:

y is imaginary when the value under the radical is negative

x + 1 < 0

x < -1

2x - 12 < 0

2x < 12

x < 6

6 - x < 0

x > 6

x - 1 < 0

x < 1

The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. The ten committee members want to conduct a survey to determine which theme Maplecrest's 2000 students prefer. There will be three choices (Disco Fever, The Crazy Eighties, or Hip Hop Til You Drop) and the committee will go with the theme that gets the most votes.
Which of the following survey methods will allow the committee to make a valid conclusion about which theme Maplecrest's student body prefers?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Each of the 10 committee members can ask 10 friends to obtain a sample of 100 students.

(Choice B)
B
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.

Answers

Answer:

B

Step-by-step explanation:

To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey.  The first scenario would only allow friends of the committee members to be selected,  but the second one would give a chance to all students.

B is the answer . Hope that helps

Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely

Answers

Answer:

more likely

Step-by-step explanation:

how to get the answer ?

Answers

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction

Answers

Answer:

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = 1

b = - 2

c = - 1

Now,

Discriminant

D = b² - 4ac

= (-2)² - 4(1)(-1)

= 4 + 4

= 8

=2√2 > 0

Real and Distinct roots

x = - b +- √b² - 4ac/2a

= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)

= 2 +- √4 + 4/2

= 2 +- √8/2

= 2 +- 2√2/2

= 2 +- √2

x = 2 + √2 or x = 2 - √2

Answer:

x = 2 + √2 or x = 2 - √2

Step-by-step explanation:

Edge 2021

Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.
What was the discounted price of the bike?​

Answers

Answer:

The discounted price is $260

Step-by-step explanation:

Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.

What was the discounted price of the bike?​

To find the discounted price of the bike, if Jack bought a motorbike that originally costs $1300 and got a discount of 20%, we will follow the steps below;

find 20% of $1300

20% of $1300 = 20% × $1300  =[tex]\frac{20}{100}[/tex]  × $ 1300 = 20×$13 = $ 260

Therefore, the discounted price is $260

Write 21 9/1000 in decimal form

Answers

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

What does 2+2 equal

Answers

2+2=4

a^2+b^2=c^2
15^2-4^2
=225-16
=209

Answer: 14.4

Step-by-step explanation: To find the third side of the triangle, we have to  use the pythagorean theorem...

a² + b² = c²

a² + 4² = 15²

a² + 16 = 225

225 - 16 = 209

[tex]\sqrt{209}[/tex]

a ≈ 14.4 (If rounded it would be 14)

I hope this helps!

A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.

Answers

Answer:

[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]

Step-by-step explanation:

Answer:

(x+9.3)^2+(y-4.1)^2=13

Step-by-step explanation:

Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?

Answers

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

Write the ratio of the first measurement to the second measurement. Compare in millimeters. Diameter of ball​ A: 44 mm diameter of ball​ B: 7.2 cm The ratio of the diameter of ball A to the diameter of ball B is

Answers

Answer:

11:18

Step-by-step explanation:

Here, we are interested in calculating the ratio of diameter of ball A to that of ball B

what to do here is to ensure that both diameters have measurements that are same units.

Thus, mathematically;

44 mm to 7.2cm

But, mathematically;

10 mm = 1 cm

Thus 7.2cm = 7.2 * 10 = 72mm

Thus, our ratio becomes;

44:72

divide through be 4, we have

44/4 : 72/4

= 11 : 18

Answer:

11:19

Step-by-step explanation:

solve 6n + 12 - 8n = 22

Answers

Answer:

n = -5

Explanation:

6n + 12 − 8n = 22

[ Simplify both sides of the equation ]

6n + 12 − 8n  =22

6n + 12 + −8n = 22

(6n + −8n) + (12) = 22 [Combine Like Terms]

−2n + 12 = 22

−2n + 12  =22

[ Subtract 12 from both sides ]

−2n + 12 − 12 = 22 − 12

−2n = 10

[ Divide both sides by -2 ]

-2n / -2 = 10 / -2

n = -5

Answer:

n = -5

Step-by-step explanation:

6n + 12 - 8n = 22

Combine like terms

-2n +12 = 22

Subtract 12 from each side

-2n +12-12 = 22-12

-2n =10

Divide each side by -2

-2n/-2 = 10/-2

n = -5

-36 divided by what gives -4

Answers

Answer:

-36 divided by 9= -4

Step-by-step explanation:

-36 divided by 9= -4

USE A CALCULATOR OR DO THE INVERSE

Answer:

9

Step-by-step explanation:

-36/x=-4

x=-36/-4

Note, -/-=+

Therefore, x=9

Hope you understand

yo was the answerrrrrr n how u do it???????

Answers

Answer:

A pizza with 8 slices has price: 12$, then each slice cost:

12/8 = 1.5$

Hope this helps!

:)

Answer:

$1.50

Step-by-step explanation:

Total cost of pizza: $12

The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.

12/8 = 1.50

one slice of pizza costs $1.50

answer these questions
1. 3 1/2 + 3/4 =
2. 5/6 0f 54 =
put both answers

Answers

Look at the attached picture...

Hope it will help you....

The price of a watch was increased by 20% to £162. What was the price before the increase?

Answers

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

Answer:

sh.129.60

Step-by-step explanation:

20%...€162

€162 times 80 over 100

€81 times 8....over 5

€648 divide 5

......ans...... €129.60

if 40 m of cloth is sold at taka 1500.there is a profit of 11 percent.what is the cost price

Answers

Answer:

hi

Step-by-step explanation:

hi

I’m not sure how to do the problem but I found a problem like it and an explanation on how to do it hope this helps
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