You select 6 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards

Answers

Answer 1

Answer:

Step-by-step explanation:

There are two different techniques that I can think of for arriving at the answer. The first method utilizes combination, sometimes referred to as the “choose” operator. First, we need to know how many 6 cards hands are possible, which can be calculated using 52 choose 6, which in notation looks like  (526)   =20,358,520 . This is our denominator.

Now that we know how many total 6 cards hands there are in a normal deck, we need to find the numerator, which is how many 6-card hands can be made up of all hearts. Since there are 13 hearts in the deck, we can find that number with  (136)   =1,716 .

Completely written out in mathematical notation, the probability of drawing 6 cards that are all hearts, appears as follows:

(136)(526)=171620358520≈0.0000843≈0.00843%  

__________________________________________________

The second method that results in the same value can be found by multiplying together the chances of drawing the individual cards at each step, for example, there is a  1352  chance of the first card drawn being a heart,  1251  for the second, and so on.

This second method looks like:

1352×1251×1150×1049×948×847≈0.0000843≈0.00843  

Incidentally,  13!46!7!52!  is another way to notate this second method.

Personally, I find the first method to be cleaner and easier to work with, but some may find the second more intuitive.

Answer 2

Answer: 11/51

Step-by-step explanation: After you've picked the first card, if it's a face card then there are only 11 faces cards left, out of a total of 51. So the probability of the next card also being a face card is 11/51.


Related Questions


Plz guys help I need help

Answers

The answer would be 56 pounds
56 pounds your welcome

Solve for y. Thank you.

Answers

Answer:

[tex]y = \sqrt{ \frac{wz}{x} } [/tex]

hence c. Patrick Mahomes is right.

Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto

Answers

Answer:

1 7/12

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

Fred went to an arcade to play video games. He paid $2 for every 11 tokens he bought. He spent a total of $16 on tokens. Which equation can be used to determine t, the number of tokens Fred bought?

Answers

Answer:

D

Step-by-step explanation:

Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.

Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.

In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person

Answers

1/10 because amongst 10 balls there is only one 10th ball there by making only one possible chance of getting ball no 10

4.5=2c I need help plz

Answers

Answer:

[tex]c=2.25[/tex]

Step-by-step explanation:

[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]

Swap the sides > =2c=4.5 then divided both sides c=2.25 there’s ya answer

A person just purchased the vending machine shown. Each compartment has the dimensions of 5 inches by 7 inches by 17 inches. What is the volume of the compartment?

Answers

Answer: 595

Step-by-step explanation:

Which graph is the answer

Answers

Answer:

D

is the answer

Step-by-step explanation:

5 + 8x < 6x + 12

8x - 6x < 12 - 5

2x < 7

x < 3.5

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What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5

Answers

Answer: 5(1-x) over x

Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).

Solve the formula A=2πrh+2πr2 for h.

Answers

Answer:

h = (A - 2πr²)/(2πr)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

A = 2πrh + 2πr²

Step 2: Solve for h

[Subtraction Property of Equality] Subtract 2πr² on both sides:                 A - 2πr² = 2πrh[Division Property of Equality] Divide 2πr on both sides:                            (A - 2πr²)/(2πr) = hRewrite/Rearrange:                                                                                        h = (A - 2πr²)/(2πr)

What is the answer for this?

Answers

12+c-2d. Distribute the 4 to everything in the ( ). The multiply and reduced

Pleaaaaaase help this is due today

What does the statement “ The shortest distance between two points is the straight line between them” have to do with the Triangle Inequality Conjecture?


Do not answer this with one, none, or a ridiculous response please... this is serious

Answers

Answer:

https://geometryhelp.net/triangle-inequality-theorem/

Step-by-step explanation:

This is from that site. Visit it and you may find what you're looking for.

If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.

Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.

PLEASE HELP I ATTACHED A PICTURE

Answers

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?

Answers

Answer:

Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].

Step-by-step explanation:

When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].

However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.

Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.

[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].

Integrate with respect to [tex]x[/tex]:

[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].

In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].

Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of missing a basket?

Answers

Answer:

3/15, 1/5, or 0.2 probability. Highly unlikely

Explanation:

12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.

~Hope this helps~

92 divided by the sum of 49 and 36?

Answers

Answer:

92/85

Step-by-step explanation:

What percentage of 10000 is 1847?

Answers

The answer is 18.47%, if not then I’m sorry

the answer is,

541.42%

I think this is the answer.

Express 13/3 as mixed fraction​

Answers

Answer:

4*1/3

Step-by-step explanation:

easy we know for each 3/3 == 1

so:

3*4 == 12

1/3 is left over so,

4*1/3

Answer:

the answer is 4 1/3, i recommend using the app mathaway

Please help I need due rn

Answers

Answer:

4 3/12

Step-by-step explanation:

= 4.25 = 4 1/4 = 4 3/12

A baseball has a diameter of 2.8 inches. How many baseballs will fit in a cylindrical barrel
that has a diameter of 4 ft and a height of 6 ft?

Answers

Answer:

5935 base balls

Step-by-step explanation:

Volume of a cylinder : pi * r² * h

r = Radius, h = height = 6ft

Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft

V = π * 2^2 * 6

V = 75.398223 ft³

Diameter of baseball = 2.8 inches

2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³

Hence,

75.398223 ft³ / 0.0127037ft³

= 5935.1370

= 5935 base balls

Hey Can someone help me please

Answers

x= 2 ; you can use the fórmula for axis of symmetry , which is -b/2(a)

Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.

Answers

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

2x²+2 (2x) +5=0

solve indices

Answers

Step-by-step explanation:

2x²+4x+5=0

.....

solve it by using the factorisation method or completing the square method

don't mind the hand writing

am I correct btw

Which of the following statements are not true about parallelograms?
Select all that apply.

1. The area of a parallelogram is half of the product of its length and width.

2. The angles formed by the diagonals of a parallelogram are complementary to each
other.

3. The diagonals of a parallelogram bisect each other.

4. A diagonal divides a parallelogram into two congruent triangles.

5. Two consecutive angles of a parallelogram are supplementary.

Answers

9514 1404 393

Answer:

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

Find the y-intercept for the parabola defined by
this equation:
y=x^2 + 8x + 12
Separate the values with a comma.

Answers

You can solve for the y-intercept by replacing x with 0 and solving for y.

y= x² + 8x + 12
y= (0)² + 8(0) + 12
y= 12

When x= 0, y= 12
(0, 12)

Write the equation of the line of reflection in the following picture

Answers

Answer:

it is reflected in the x-axis so y=0

(please answer thank you!)

The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.

Answers

Answer:

The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Step-by-step explanation:

Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:

X + X + 1.15 + X + 1.15 = 8.60

3X + 2.30 = 8.60

3X = 8.60 - 2.30

X = 6.30 / 3

X = 2.10

Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!

Answers

Answer:

t = 10

Step-by-step explanation:

15 = 1.5 × t

15/1.5 = t

10 = t

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7 more than a number ?

A)n+7
B)7+n
C)7-n

Answers

Answer:

B)7+n

Step-by-step explanation:

Answer:

A but see below.

Step-by-step explanation:

A is likely the best answer, although B is also correct. However you should write things in the other they are given.

n + 7 is the very best way to answer.

7 + n is not wrong but maybe not wanted.

Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet

Answers

28 inches = 2 1/3 feet
3.5 feet = 1 1/15 meters
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