6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?

Answers

Answer 1

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

https://brainly.com/question/1349408


Related Questions

What is 8c + c = , is it 8cc, 9c, 8c2, 8c

Answers

Answer:

9c

Step-by-step explanation:

if you take 8c and add another c, it equals 9c

Answer:

9C

Step-by-step explanation:

1 * w^3
how do you multiply these together

Answers

9514 1404 393

Answer:

  w^3

Step-by-step explanation:

The multiplicative identity element is 1. That means 1 times anything is just that thing.

  1 × w^3 = w^3

_____

Additional comment

That is one of the reasons why a coefficient of 1 is (almost) never shown.

In algebra, multiplication can be indicated a number of ways.

  ab . . . . placing values next to each other (sometimes with a small space)

  (a)(b) . . . . placing values next to each other with either or both in parentheses

  a·b . . . . . using a multiplication symbol between the values.

There are several different multiplication symbols in common use:

  * — asterisk

  · or • — centered dot

  × — centered "x" multiplication symbol

  x — the lower-case letter x (when it cannot be confused with a variable)

  . — a period (when it cannot be confused with a decimal point). This is uncommon in the US, but is seen occasionally when some of the other symbols are not available. It is more common outside the US.

_____

The multiplication of a constant and a variable expression cannot actually be accomplished. It can only be "indicated." If you wanted to multiply 2*w^3, that product would be indicated in any of the ways described above. Perhaps the simplest and least-confusing to most people is ...

  2w^3

Multiplying 1*w^3 can be indicated the same way: 1*w^3. In view of the special treatment given to a coefficient of 1, we would not simplify this to

  1w^3

Rather, we would simplify it to ...

  w^3

16. A craft shop sold 150 pillows. Small pillows were $6.50 each and large pillows were $9.00 each. If the total amount collected from the sale of these items was $1180.00, what is the total number of each size pillow that was
sold?

Answers

Answer:

82 large pillows, 68 small pillows

Step-by-step explanation:

Suppose all pillows sold were small pillows:

150×$6.50=$975

$1180-$975=$205

$9-$6.50=$2.50

$205÷$2.50=82 (no of large pillows sold)

No. of small pillows sold

=150-82

=68

The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon
race in yards?
Plz help

Answers

Answer:

46,145

Step-by-step explanation:

26x1760= 45,760 + 385= 46,145

The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

How to measure the length?

Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.

Yards-This unit is used when the size of a small space has to measure, such as length of bed, ladder etc. There are total 1760 yards in one mile.Miles-This is the basic unit of length measurement of size. The size of roads, distance between two cities are measured in miles.

The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,

[tex]26\times1760=45760[/tex]

Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,

[tex]45760+385=46145\rm\; yards[/tex]

Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

Learn more about the length measurement here;

https://brainly.com/question/777464

#SPJ2

sin⁻¹(-[tex]-\frac{\sqrt{3} }{2}[/tex]

Answers

Answer:

240,300

[tex] \frac{4\pi}{3} . \: \: \frac{5\pi}{3} [/tex]

A savings account has $51.75 and increases by $15 each week. The amount of money in the account isla linear function of time. Which statement best describes the rate of change and initial value of this function

Answers

Answer:

The answer is C

Step-by-step explanation:

I know this because I worked it out and I am in University

Answer:The rate of change is the money deposited per week, and the initial value is the amount of money at the start.

Step-by-step explanation:

6 miles in 2 hours how fast you go

Answers

Speed is presented as miles per hour (mph) or kilometres per hour (kmph). To take the above example: You walk 6 miles in 2 hours. 60/20 = 3mph.

Answer: 3mph
You would be going 3mph

Number Relationships
Find the unknown number in the group to make related multiplication
and division sentences. Write the multiplication and division sentences.
4, ?,68

Answers

Answer:

17

Step-by-step explanation:

the unknown number needs to be a number that is associated with the minimum and maximum numbers. 17 is four times the minimum number plus 1 and 17 is four times the amount of. 17 to equate to 68.

what is the slope between these 2 points?
(-4,5) and (2,1)

-3/4
-2/3
3/8
-1/5

Answers

Answer:

b

Step-by-step explanation:

y2-y1/x2-x1

memorize this formula so you always know slope for 2 points given.

y is the second number in parentheses.

whichever you choose as y2 or y1, the x values will match those numbers as well.

(y2-y1) = (1-5)

(x2-x1) = (2+4)

(-4)/6

-2/3

Dos rectas se cortan formando un ángulo de 135°. Si se sabe que la recta final tiene una pendiente igual a 4, podríamos indicar que las rectas son:

Paralelas


b.
Semirectas


c.
Secantes


d.
Perpendiculares

Answers

Las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)

Las dos rectas en cuestión no pueden ser paralelas pues sus pendientes son distintas y, por consiguiente, se intersecan en algún lugar del plano.

Tampoco pueden ser semirrectas pues el enunciado indica que existen dos rectas y las rectas no tienen principio ni fin.

Mucho menos pueden ser perpendiculares, pues el ángulo es distinto a 90°.

En consecuencia, las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)

Invitamos cordialmente a ver esta pregunta sobre rectas: https://brainly.com/question/21478732

Solve : (6a -5b -8c) - ( 15b + 2a - 5c)

Answers

Answer:

4a - 20b - 3c

Step-by-step explanation:

6a - 5b - 8c - 15b - 2a + 5c

= 4a - 20b - 3c

I HOPE IT WILL HELP YOU.

Thank you.

I HOPE YOUR DAY GOES GREAT.

Which equation describes a relationship such that x = 0 must be excluded from the domain?

Answers

Answer:

Example: f(x) = (1 + x + x^2) / x, x=0 is excluded from the domain, since division by zero is undefined.

Step-by-step explanation:

This is because it only has an x-intercept and does not intersect they-axis. Vertical lines cannot be written in standard form because the slope is undefined. The equation of the line is given by the x-intercept of the line. In this case x=0 goes though the origin (x=0), which means this is the equation of the y-axis

The surface area of a piece of paper is 345 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2

Answers

Step-by-step explanation:

345cm²=34500mm²

:;

cm in mm(*10)

cm² in mm²(*100)

cm³ in mm²(*1000)

I'd appreciate the brainliest

which quanity is proportional to 5/25

Answers

Answer:

1/5

Step-by-step explanation:

what is 5/8 - 1/2 ??

Answers

Answer:

1/8

Step-by-step explanation:

First convert 1/2 to eighths:

1/2 = 4/8

5/8-4/8= 1/8

Hope this helps! :)

simplify the expression.

-1 (x+9)

Answers

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer

One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?

Answers

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

A.-8
B.12
C.-20
D.32

Answers

Answer:

C. -20

Step-by-step explanation:

Step 1: [tex]\frac{mn}{p}[/tex] + (-n)  Write down equation

Step 2: [tex]\frac{2(12)}{-3}[/tex] + (-12)   insert values into equation

Step 3: [tex]\frac{24}{-3}[/tex] - 12 Simplifying fraction and parentheses

Step 4: -8 - 12 Simplifying fraction 24/-3 = -8

Answer: -20

please help me with this sum​

Answers

Answers:

781 × 8 = 6248

231 × 7 = 1617

421 × 6 = 2526

531 × 5 = 2655

681 × 2 = 1362

951 × 4 = 3804

741 × 3 = 2223

361 × 3 = 1083

931 × 7 = 6517

821 × 2 = 1642

Which is 14 divided by 0.50?​

Answers

14÷0.50

=28

Hope this helped you- have a good day bro cya)

It should be 28................

f(x)=-9/x, a=-11, I don't know how to do this and I really need help with this. Please help

Answers

Answer:

9/11

Step-by-step explanation:

f(X)=-9/X

f(a) =-9/-11

f(a)= 9/11

Which of the following equations represent linear functions?

Answers

Answer:

a

Step-by-step explanation:

a linear function have a shape of y=ax+b

y=8x-3 is linear where a=8 and b=-3

Answer: y = 4(2x) - 3

Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.

fill in the table using the function rule. Y=2x-1​

Answers

Answer:

what table?

Step-by-step explanation:

BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!

Simplify the radicals below.

Answers

Answer:

2(∛6 )

Step-by-step explanation:

∛12 × ∛ 4 = [tex]\sqrt[3]{12*4}[/tex] = ∛48 =  [tex]\sqrt[3]{2^{3} *6}[/tex] = 2(∛6 )

6
LA
3
2
1
-6
-5
-4
-3
-2
- 1
1
2
3
4
- 1
N-
-2
What is the slope of line segment AB?
A
NIN
B)
3
4
o
4
3
D
IN

Answers

Answer:)

Step-by-step explanation:

The area of the table should be
10 ft2. You want the length of the table to be 1 ft shorter than twice its width.
What should the dimensions of the table be?

Answers

Answer: width : 2.5 ft. and length : 4 ft.

Step-by-step explanation:

The area = W × L

[tex]10=W(2W-1)[/tex]

[tex]10=2W^{2} -W[/tex]

[tex]0 = 2W^{2}-W-10[/tex]

[tex]0=(2W-5)(W+2)[/tex]

W = 2.5 and -2

You can't use -2 so

[tex]L = 2(2.5)-1[/tex]

[tex]L = 4[/tex]

please give me a brainliest answer

Question 3 options: A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and 8 buses of 40 seats, but only has 9 drivers available. The rental cost for a large bus is $800 and $600 for the small bus. Calculate how many buses of each type should be used for the trip for the least possible cost. Let L

Answers

Answer:

8

Step-by-step explanation:

canh square roots be rational numbers ?

Answers

When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
Very good question, i’ll try to answer this as best as I can so here we go hope you enjoy

All rational numbers have the fraction form
,
a
b
,
where a and b are integers(≠0
b

0
).

My question is: for what
a
and
b
does the fraction have rational square root? The simple answer would be when both are perfect squares, but if two perfect squares are multiplied by a common integer
n
, the result may not be two perfect squares. Like:
49→818
4
9

8
18

And intuitively, without factoring, =8
a
=
8
and =18
b
=
18
must qualify by some standard to have a rational square root.

Once this is solved, can this be extended to any degree of roots? Like for what
a
and
b
does the fraction have rational
n
th root?

Have a blessed day God bless.

A glass block window is made of two different-sized glass squares. The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches. Find the total area of the small glass squares?

Answers

Given,

A glass block window is made of two different-sized glass squares.

The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches.

40 × 10 = 400

How many dots are in the 5th step?

Answers

Answer:

add 5 + 4, which is 9 and that's 81 dots

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