Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.​

Answers

Answer 1

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]

Finally, the probability of getting the remaining ace out of the 49 cards is:

[tex]\displaystyle \frac{1}{49}[/tex]

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]

[tex]\displaystyle P= \frac{1}{270,725}[/tex]

P=0.0000037

P=0.00037%


Related Questions

5. Which line appears to have an x-intercept of -5 and a y-intercept of 3?

Answers

Answer:

I need a picture but if you count 3 up and and left 5 whichever line hits both of those points is the answer

who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec

Answers

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

The medians of ADEF are DK, EL, and FJ. They meet at a single point M.
(In other words, M is the centroid of ADEF.)
Suppose ML = 9, MJ=8, and DK = 24.
Find the following lengths.
Note that the figure is not drawn to scale.

Answers

Answer:

FJ = 24

DM = 16

EM = 18

Step-by-step explanation:

I remember that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side. Therefore the median is split into two parts where one side is always twice as long as the other. So given that segment ML is 8, the other part of the segment (DM) must be 16 as 16 is 2/3 of 24 and 8 is 1/3 of 24 and 1/3 + 2/3 = 1.

Therefore, since MJ is 8, FM must be twice as long so it is 16. Add them up to get FJ, and 8 + 16 is 24.

Finally for EM, since the longer part of the median is twice the length of the smaller part EM must be 18 since 9 × 2 = 18, and 2/3 of 18 is 27, 9 + 18 = 27.

» Which expression shows 35 + 15 written as a product of two factors?

Answers

Answer:

[tex]35 + 15 = 5 * 10[/tex]

The factors are 5 and 10

Step-by-step explanation:

Given

[tex]35 + 15[/tex]

Required

Express as a product of two factors

[tex]35 + 15[/tex]

Start by factorizing the expression:

[tex]5(7 + 3)[/tex]

Add the expression in the bracket

[tex]5(10)[/tex]

Replace bracket with *

[tex]5 * 10[/tex]

Hence:

[tex]35 + 15 = 5 * 10[/tex]

The expression which shows 35 + 15 written as a product of two factors is 5(7 + 3).

What is meant by expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Let the expression be 35 + 15

Express as a product of two factors

35 + 15

Factorizing the expression we get

5(7 + 3)

simplifying the above expression, we get

5 (10)

Hence:

35 + 15 = 5 × 10

Therefore, the correct answer is option b) 5(7 + 3).

The complete question is:

Which expression shows 35 + 15 written as a product of two factors?

a) 5(6 + 3)

b) 5(7 + 3)

c) 7(5 + 2)

d) 7(5 + 3)

To learn more about expression refer to:

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please help so I can pass

Answers

your answer would be F.

For f(x) = 3x2 - 2, find F(x) =
f(x)dx

Answers

Answer: below

Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)

Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.

Upvote

1

Downvote

Add comment

ldodiifqbsnzifkflxkx

Brainlest to whoever can tell me what pi stands for

Answers

Hi!

Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.

Hope this Helps!

Yours Truly,

~~~PicklePoppers~~~

If △EFG ≅ △HJK, complete each part.

Answers

Answer:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH

Step-by-step explanation:

Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.

Thus:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)

△EFG ≅ △HJK,

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE △JKH

Given that

△EFG ≅ △HJK,

Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.

Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are  equal to the corresponding angles of other triangle and  all the  sides of one triangle are equal to  corresponding sides of other triangle.

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE △JKH

For more information please refer to the link below

https://brainly.com/question/25063327

If Mis a centroid of triangle WOR and WM = 16, what is WX?

8
24
10
32

Answers

Answer:

WX = 24

Step-by-step explanation:

Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1

Therefore,

WM/ MX = 2/1

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

WX = WM + MX

WX = 16 + 8

WX = 24

The value of the side WX  is equal to 24. The correct option is B.

What is the centroid of the triangle?

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.

A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.

Here, the ratio of the two sides will be given as:-

WM/ MX = 2/1

Calculate the value of MX to get the value of WX.

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

The value of WX will be:-

WX = WM + MX

WX = 16 + 8

WX = 24

Therefore, the value of the side WX  is equal to 24.

To know more about triangles follow

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what is the slope of (12,22) (-20,19)

Answers

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

Can someone help me with this math problem

Answers

Answer:

$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound

Step-by-step explanation:

Answer:

Brand A is $14

Brand B is $12.5

Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.

Step-by-step explanation:

For brand A you need to first divide 70 by 5 which equals to 14

Then you divide 105 by 12 which equals 12.5

The Last problem i gave to you in the answer box.

Hopefully you understood everything.

Have a good day

Consider the line 4x+2y=-7.

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

Answers

Answer:

To find slop from the given equation,

Slope (m) =

[tex] \frac{ - \: cofficients \: of \: x }{cofficient \: of \: y} [/tex]

So, slope of this equation is - 2

For perpendicular case,

M1 . M2 = - 1

Thus, m2 = 2 ( for this equation)

Similarly,

For parallel case,

M1 = m2

Thus, m2 = - 2 ( for this equation)

Keep asking sir/maam

Anyone know how to do this? pls explain how

Answers

23. 47
24. 11
25. 61
26. 43
27. 266
28. 9

Helpp me pls for this one

Answers

Answer:

5

Step-by-step explanation:

no clue what to do lol

Answers

Answer:

Thanks for the free points

Answer:

So, the answer for b is 20.

The way to figure this out is:

angle N is congruent to angle S

angle M is congruent to angle M

side NM is 10

because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)

Hope that helps! Let me know if it does! ;P

if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me

Answers

Answer:

ok

Step-by-step explanation:

Find the area of the figure. (Sides meet at right angles.)
3 in
s in
5 in
9 in
8 in

Answers

Answer:

Area is 69 in^2

Step-by-step explanation:

the big square is 9*9=81

the small rectangle is 4*3=12

81- 12= 69 in^2

The Area Is 69.......

what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)​

Answers

Answer:

y= -5x - 21

Step-by-step explanation:

parallel lines have the same slope, so you know the slope.

you need to use the point slope formula y-y1=m(x-x1)

with this equation, this looks like y - -1 =- 5(x - -4)

double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)

distribute the -5. you should get y + 1 = -5x - 20

subtract 1 to move it from the left side to the right and you get your answer!

y = -5x - 21

plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)

Answers

Answer:

2/3

Step-by-step explanation:

3-1/5-2=

2/3

What quadrant does -495 lie in?

Answers

It would lie between 180 and 220

Simplify this expression.
20.25 − 912 + 11

Answers

Answer:

20.25-923

Step-by-step explanation:

20.25-923

912+11=923

20.25-923 person above

1o Divide
$ 20,000 in the ratio 3:2​

Answers

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

I need help plz someone help me

Answers

Answer:

broooooooooooo how do you not know that not trying to be rude but anyways the answer is number 3

-5x - 5y = 10 ???
6x + 3y = -30 ????
4x + y = -2 ??
x + y = 1 ???
what is X and Y !!

Answers

Well you can’t if you can’t figure out what x and y is then it’s an equivalent expression so x and y are 1

HELP !
CLICK ON THE PHOTO FOR THE QUESTION. ALOT OF POINTS GIVEN.

Answers

Answer: Does this help?↓↓↓

Step-by-step explanation:

That for every 5 gallons of water 1.5 pounds of salt is needed to meet...

Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

Answer:

You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.

Can ya help me
PLEASE EXPLAIN

Answers

Answer: D

Step-by-step explanation:

The point in the grid if you divide by 2 will give you the prime points. Also it flips over the y axis.

Just here for reassurance!
I agree the answer is D!

Find the equation of the following set of points. Then give the slope of a line
Perpendicular to the found equation.
{(1, 6), (3,-4)}

Answers

equation- y=-5x+11
Mperpendicular=1/5

HELP PLS BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

83

Step-by-step explanation:

Answer:

x = 59

y = 83

Step-by-step explanation:

First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.

Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.

Using the Triangle Sum Theorem again, you will find that x is 59.

6
Estimate each percent.
70% of 103
(1 Point)
Enter your answer



Will make Brainlylist

Answers

Answer:72.1

103*.7=72.1

I hope this is good enough:

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