5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer 1

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

Answer 2

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470


Related Questions

Y-9=26
Can anyone help me with this question

Answers

Answer:

Y = 35

Step-by-step explanation:

w=x^2-2yx make y the subject of the formula

Answers

Answer:

[tex]y=\dfrac{x^2-w}{2x}[/tex]

Step-by-step explanation:

The given equation is :

w=x²-2yx

We need to find the value of y.

Subtract x² from both sides.

w-x²=x²-2yx-x²

w-x² = -2yx

Dividing both sides by -2x

[tex]\dfrac{w-x^2}{-2x}=\dfrac{-2yx}{-2x}\\\\y=\dfrac{w-x^2}{-2x}\\\\y=\dfrac{x^2-w}{2x}[/tex]

So, the value of y is equal to [tex]\dfrac{x^2-w}{2x}[/tex].

Suppose that the people in a certain city are catching cold. It is observed that after one​ week, 40% of the people who were sick are still sick. Of the people who were​ well, 30% are sick after one week.​ If, at some particular​ time, 20% of the people are​ ill, find the proportion of people who are sick after two weeks

Answers

Answer:

the proportion of people who are sick after two weeks is 33.2%

Step-by-step explanation:

Given the data in the question;

Let there be 100 people in the city;

20% of them are sick( 20/100 × 100) = 20 people

so 80% are fine = ( 100 - 20 ) = 80

after one​ week, 40% of the people who were sick are still sick

40/100 × 20 = 8%

of the 80% of people who were well, 30% got sick after one week

30/100 × 80 = 24%

so after one week. 8% + 24% = 32% of the people were sick,

hence 68% are fine.

now, after second week 40% of sick and 30% of not sick people previously will be sick

∴ Total people who are sick after two weeks    

⇒ 40/100 × 32 + 30/100 × 68

= 12.8 + 20.4

= 33.2

Therefore, the proportion of people who are sick after two weeks is 33.2%

GIVING BRAINLIEST! AND 20 POINTS!
The two triangles below are similar. To the nearest tenth, what is the measurement of the missing side?

Answers

Answer:

4.1

Step-by-step explanation:

Divide 1.2 and 2.3

Where is the point (5. - 1) located in the coordinate plane?
A. In quadrant II
B. On the yaxis
C. In quadrant IV
o D. In quadrant III

Answers

Answer: A.

Step-by-step explanation: 5 is in one of the first 2 quadrants, and since the second number is a negative, it goes in the 2nd quadrants.

5. If rectangle ABCD is similar to rectangle MNOP, which of the following must be true? Explain how you know.
a)
b)
BC.NO
CD OP
2C - ZO
ZB ZM
c)

Answers

the correct answer is a b and c

Answer:b and c

Step-by-step explanation:

Which is the lower rate?
(a) 2,133 km in 6 hours
(b) 1,498 km in 7 hours

Answers

Answer:

2133 km in 6 hours is lower than 1498 km in 7 hours

Step-by-step explanation:

write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15

Answers

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

[tex]f(n) = [f(n-1)]^{2}[/tex]

And the following initial condition:

[tex]f(1) = 3[/tex]

The second term of the sequence is:

[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]

The third term of the sequence is:

[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]

The fourth term of the sequence is:

[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]

The first 4 terms of the sequence are: 3, 9, 81, 6561

please answer i know the picture is a little blurry but please i will give you brainliest!!

Answers

Answer: the 1st one.

Step-by-step explanation: becuase today I was helping out a freind with this.  So it the first one

pls help <33333333333

Answers

Answer:

a

Step-by-step explanation:

Answer:

180-(60+70)=50

180-50=130 so a

Step-by-step explanation:

An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective

Answers

Answer:

probability that a rivet is defective is 0.00868

Step-by-step explanation:

given data

rivets = 20

all seam need reworking P = 16% = 0.16

solution

we consider here probability of a defective rivet = p

and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)

so that for non-defective = 1 - P [all the rivets are non-defective]

and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]

= [tex]1 - (p})^{20}[/tex]     ....................1

so

1-0.16 = [tex]1 - (p})^{20}[/tex]

0.84 = [tex]1 - (p})^{20}[/tex]

[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p

solve it we get

p = 0.00868

so, probability that a rivet is defective is 0.00868

Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Answers

The answer is B. When dividing exponents, you divide the coefficients and subtract the exponents from the numerator to the denominator.

So, in this case, 16/8 is 2 (eliminating C and D). Then, you subtract the exponents on r and s. For r, that’s 6-2 so the answer will be r^4. For s, that’s 3-6 so the answer will be s^-3, or 1/s^3. Put it all together and you get 2r^4/s^3, or B.

The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (16r⁶s³) / (8r²s⁶)

Simplify the expression, then we have

⇒ (16r⁶s³) / (8r²s⁶)

⇒ 2r⁴ / s³

The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ6

what would be the ° from SQT​

Answers

Answer:

79°

Step-by-step explanation:

Line pu is a straight line meaning it has a measure of 180°.

37+34+30=101

180-101=79

Please help!! Thank you so much! (I hate school) :,)

Answers

The first and second one

(7x2)=14+5=19
(28/2)=14+5=19


Have a nice day!:)

Please help me answer this with the correct answer :)


Explain your answer


I will give braisnlt :)

Answers

Answer:

Hey

Step-by-step explanation:

Where is the question

There’s no question present to help with

WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT

Answers

Answer:

How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation

Step-by-step explanation:

You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?

Answers

Answer:

in 2030 the land will aproxmatly be worth $113750

Step-by-step explanation:

An air conditioning System can circulate 480 cubic feet of air per minute. How many cubic yards of air can circulate per minute?

Answers

Answer:

1440 cubic yards

Step-by-step explanation:

There are 3 feet in a yard. Multiply 480 x 3 using the algorithm and you get 1440.

12 + y = y + 12*
Commutative Property
Associative Property
Identity Property
Distributive Property

Answers

Answer:

Commutative

Step-by-step explanation:

Identity equals adding 0

Associative means grouping diff. ways

Distributive is distributing into sections

does anyone know when the next season of cobra kai is coming out? ​

Answers

Answer:

Early 2022

Step-by-step explanation:

No sorry, maybe this year.


It is a collection or set of units or
entities from whom we got the data.
universe
variable
population
sample​

Answers

Answer:

Population.

Step-by-step explanation:

Population can be defined as a collection or set of units or entities from whom we got the data.

This ultimately implies that, a population is the larger set from which other units can be picked from.

Hence, a population is an entire collection of outcomes or objects from which we can obtain or collect data. For example, the number of new born babies in a hospital, a country and the total number of football players in a soccer league.

Population = Movies.

Subset (sample) = comedy movies, horror movies, romance movies, and action movies.

Is the following set a function?
{(-3, -27), (-2, -18), (1, -9), (0, 0), (1,9), (2, 18), (3, 27)}
A) Yes
B) No

Answers

Answer:

yes i think

Step-by-step explanation:

No because there’s two 1s and the x

How many 1/6 are in 2/3

Answers

Answer:

4

Step-by-step explanation:

2/3 ÷ 1/6 = 2/3 · 6/1 = 4

Answer:

It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.

Hope you enjoy !

What is the value of s?

Answers

Answer:

68 is the answer

If 4 tickets cost $28.96, how much is one ticket?

Answers

Answer:

7.24

Step-by-step explanation:

Divide 28.96 by 4

28.96/4=

7.24

Answer:

$7.24

Step-by-step explanation:

28.96 ÷ 4 = 7.24

hope this helps...

QUCIK!!!!

Find the equation of the line with Slope = 5 and passing through (7,43). Write your equation in slope
intercept form

Answers

Answer:

Y=5x+8

Step-by-step explanation:

43=5(7)+b Substitute in the ordered pair and solve in parathensis

43=35+b Subtract 35 from both sides

43-35=-35+b Did you subtract?

8=b The variable is 8.

y= 5x+8 Rewrite the equation in slope intercept form

6. The sum of two numbers is 30. The sum of the
first number and three times the second number
is 54. What is the product of the two numbers?

Answers

The numbers are 18+12=30 or 18 and 12.
18+12x3=54
The product of the numbers is 216.

If a man is driving at a rate of 80 km per hour, how many kilometers will he travel in 30 minutes? A. 30 km B. 40 km C. 60 km D. 240 km

Answers

Answer: B 40 km
Explanation

i guss d is the answer of it

Need help don’t know what to do I’m confused

Answers

Answer:

-x + y = 8

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

          = [tex]\frac{10-7}{2-(-1)} = \frac{3}{3} or 1[/tex]

slope = 1, m represents the slope

y - y1 = m(x - x1)

choose any point ( -1, 7 ) or ( 2,10 )

y - 7 = 1( x + 1 )

y - 7 = x + 1

-x + y = 8

Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has the higher Y- Intercept ? ( please help 90 points!!! will give the brainliest and thanks!!!!!) pleaseee help quickly

Answers

Answer:

equation b the y intercept is the constant which is 1

Step-by-step explanation:

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