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

1. Is the number 5 prime, composite,
or neither?

Answers

1. Is the number 5 prime, composite,or neither?The number 5 is prime since it can only be divided by itself and 1.Hope I helped. :)

Answer:

5 is a prime that's the answer

What is the volume of this cone?
Use a ~ 3.14 and round your answer to the nearest hundredth.
7 in
5 in
cubic inches

Answers

Answer:

Volume = 183.26 cubic inches

Step-by-step explanation:

Volume of cone = ⅓πr²h

Where,

r = 5 in.

h = 7 in.

Plug in the values into the formula

Volume = ⅓*π*5²*7

Volume = 183.26 cubic inches (nearest hundredth)

Find the 59th term of the arithmetic sequence -8, -13, -18

Answers

Step-by-step explanation:

first term = a = -8

common difference = d = -13+8 = -5

59 th term = a + (59-1) d

= -8 + 58 (-5)

= -8 -290= -298

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hi hi this was a great day i you had to go out for the

HELP ME PLEASE, GONNA GIVE 25 POINTS!!

Answers

9(2b-5) is the answer

Answer:

(330) -4 (-45) (390)

Step-by-step explanation:

According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?

Answers

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

what equation represents a line whose slope is 1/2 and whose y-intercept is 3

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

anUm, y = mx + b format. M would be the slope, b is the y intercept. and obviosuly x and y are the x and y components :D

y=mx+b where m is the slope and b is the y intercept, m=1/2 and b=3

y=x/2+3 or more neatly

y=(x+6)/2

Y intercept (3,1) and (-4,-6)?​

Answers

Answer:

y-intercept:  (0, -2)

Step-by-step explanation:

Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1):  The change in x is 7 and that in y is also 7.  Thus, the slope is

m = 7/7, or m = 1.

Using the point-slope form and the point (3, 1), we get:

y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2

Comparing this to y = mx + b, we see that the y-intercept is -2.

Paul's
house
5 miles
Clara's
house
12 miles
What is the shortest possible distance between the houses?

O A. 8.5 miles
B. 13 miles
C. 14.5 miles
OD. 17 miles

Answers

I’m geussing it would be A because it’s the smallest therefore probably the lowest distance

The math team went to lunch to celebrate Ms. Renft's birthday on February 11th. The
cost of the meal with tax was $148. 60. The math team left a 15% tip. What was the
total cost of the meal including tip?

Answers

Answer:

$171.12

Step-by-step explanation:

Including the tip and cost, it is 171.12. Multiply 148.6 by 1.15, which includes the total cost plus another 15% for the tip.

Can someone please solve this, thankyou <3

Answers

Step-by-step explanation:

[(4³)² × 5⁶] ÷ 6⁶

(4⁶ × 5⁶) ÷ 6⁶

(4 × 5)⁶/6⁶

20⁶/6⁶

=

[tex]( \frac{20}{6} )^{6} [/tex]

=

[tex] (\frac{10}{3} ) ^{6} [/tex]

Correct answer below :

I need help! This is due in 30 minutes!!!

Answers

Answer:

It's supplementary

Step-by-step explanation:

They both create 180 degrees when added together because they ar both on a single line.

Answer:

Supplementary angle

Step-by-step explanation:

Need help with math points and brainlest

Answers

answer: 10 ft (now i’m just typing to make it 20 letters long lol)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

Using complete sentences, describe the net of a rectangular prism with a length of 12 centimeters, a width of 9 centimeters, and a height of 5 centimeters.

Answers

Answer:

it would be 12 multiple by 9 then add the 5 centimeters

Step-by-step explana

HELP HELP HELP HELP HELP PLZ I BEG I PLEAAD I BEG I BEG I BEG I BEG IM HAVINF A FREAKING ANXIETY ATTACK PLEASE PLEASE B00ST THIS I NEED ANSWERS IMMEDIATLY PLEASE PLEASE IMMA FAIL

Answers

Answer of question 1:

x = 4

m = 2

n = 5

Answer of question 2:

x = 81

m = 4

n = 3

Hope it helps you. Do mark me as brainly. Thanks

Answer:

0.25

Step-by-step explanation:

WILL GIVE BRAINLIEST GIVE EXPLANATION

Answers

Answer:

5z+30

Step-by-step explanation:

5(z+6)

^ multiply each term in the parentheses by 5

5z+5x6

then,

5z+5x6 (multiply the numbers)

the answer will be 5z+30

find x of 25:100::x:160​

Answers

Answer:

40

Step-by-step explanation:

25: 100 :: x: 160

25:100 :: 40 :160

i did in this way but i cant show the correct explanation do u want explanation or is final answer enough?

~~~~~~~~~

Here is the way i idid, its not the proper way ik i forgot the correct way

but here it is for ur reference

25 x 4 = 100 :: 4x = 160

x = 160 / 4 = 40

how many quarts are in a gallon ​

Answers

Answer:

4

Step-by-step explanation:

1 US liquid gallon = 4 US liquid quarts

Answer:

1 gallon = 4 quarts

Step-by-step explanation:

What is the midpoint of the segment with endpoints (4,1) and (-1,6)

Answers

Answer:

( 1.5 , 3.5 )

Step-by-step explanation:

Answer:

(3/2, 7/2)

Step-by-step explanation:

We find the mean (average) of 4 and -1, obtaining 3/2 by combining 4 and -1 and then dividing the result by 2.  Thus, the x-coordinate of the midpoint is xm = 3/2.

Similarly, we find the mean of 1 and 6, obtaining ym = 7/2.

Thus, the midpoint is (3/2, 7/2).

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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The enrollment of students in evening classes at a local university decreased by 6% between two recent years. If the total number of students attending evening classes in both years was 13,925 , find how many students enrolled in evening classes in each of the years.

Answers

Answer:

First year: 13925; Second year: 13090

I will give brainliest!!!

Answers

Answer:

In between 4 and 6

Step-by-step explanation:

Since there are 2 negative signs it automatically goes to positive so u would go to positive 5, which is in-between 4 and 6!

Hope this helps!! :D

Simplify 2/4 please and thank you

Answers

Answer:

1/2

Step-by-step explanation:

2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.

Basically, the simplification process would look something like this...

2/4 ÷ 2/2 = 1/2

Tomas buys a bag of 5 peaches for $3.55.
Write and solve an equation to find how
much money, m, Tomas paid for each peach-

Answers

Answer: 3.55÷5=m  3.55÷5=0.71 so Tomas paid $0.71 per peach

Step-by-step explanation:

helppppppppppp pleaseeee

Answers

Answer:

25

Step-by-step explanation:

4x-2=14 i already know this just wanted to ask something

Answers

Answer:

4x-2=14

4x=14+2

x=16/4=4

The distance from the ground to where the ladder is touching the wall is 7
feet. The distance from the wall to the base of the ladder is 4 feet. What is
the length of the ladder?
wall
ladder

Answers

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

144 like exponent and with 12 like base

Answers

Answer:

That is not a question, Brainly is an educational app and I suggest you use it that way.

The volume of a cylinder is 54 cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 18 cm
B. 9 cm
C. 6 cm
D. 3 cm

Answers

A is the answer if im wrong sorry

Answer:

The answer is C. 6

Step-by-step explanation:

My explanation is i got u bro u can trust me frfr but if you need all the work lmk

calcule:(-2)⁰+(-2)¹+(-2)²+(-2)³

por favor​

Answers

Answer:

-5

Step-by-step explanation:

A triangular prism and two nets are shown:

A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 17 inches. Net A has 3 rectangles having dimensions 5 by 17, 17 by 12, and 17 by 13, and two triangles having legs 12 inches and 5 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 17, and two triangles having legs 5 inches and 12 inches.

Which is the correct net of the prism and what is the surface area of the prism?

a
Net A with 570 square inches
b
Net A with 590 square inches
c
Net B with 502 square inches
d
Net B with 514 square inches

Answers

Answer:

B) i did the test no worries

Step-by-step explanation:

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