A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.​

Answers

Answer 1

Answer:

The probability of the given scenario occuring is about 0.0153.

Step-by-step explanation:

A standard deck contains 52 cards.

We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.

So, the probability that the first card is a spade is 13/52 or simply 1/4.

Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.

This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.

Now that we've drawn two cards without replacing them, the total number of cards left is 50.

And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.

Then the probability of the third card being hearts will be 12/50 or 6/25.

Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:

[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]

The probability of the given scenario occuring is about 0.0153.


Related Questions

You have only quarters and dimes in your pocket. In total, you have 15 coins. The total value of all of these coins is $3.00. How many quarters and how many dimes do you have?

Answers

Answer: 10 quarters, 5 dimes.

Explanation:

10 x .25 = 2.50

5 x .10 = .50

2.50 + .50 = 3.00

Find the value for x and y if x+(xy)^1/2+y=14 and x^2+xy+y^2=84​

Answers

Answer:

[tex]xy = 4 [/tex]

Step-by-step explanation:

Taking the first equation , we have ,

[tex]\implies x + (xy)^{\frac{1}{2}} + y = 14 \\\\\implies x + \sqrt{xy}+ y = 14 \\\\\implies x + y = 14 -\sqrt{xy}\\\\\implies (x+y)^2 = (14-\sqrt{xy})^2 \\\\\implies x^2+y^2+2xy = 196 + xy -28\sqrt{xy} \\\\\implies x^2+y^2+xy = 196 - 28\sqrt{xy}[/tex]

Now according to second equation,

[tex]\\\\\implies 84 = x^2+xy+y^2 [/tex]

Plug on this value ,

[tex]\implies 84 = 196 -28\sqrt{xy}\\\\\implies -112 = -28\sqrt{xy}\\\\\implies \sqrt{xy}=\dfrac{112}{28}\\\\\implies \boxed{\boxed{ xy = 16 }}[/tex]

On substituting this value in terms of one variable of the equation you can get the values of x and y .

Milo is working on a wall mural using geometric shapes. The mural includes parallelograms and rectangles like the ones below.



Opposite sides are parallel.


Opposite sides are congruent.


Opposite angles are congruent.


Opposite angles are right angles.

Answers

Your answer is going to be opposed sides are parallel

Answer:

Opposite angles are right angles.

Step-by-step explanation:

A) 121
B) 102
C) 141
D) 115

Answers

Answer:

121

Step-by-step explanation:

cause if its on the oppsite side its going to be the same number

½(8)(7+2) what is that??​

Answers

Answer:

36

Step-by-step explanation:

image has step by step

Answer:

36

Step-by-step explanation:

1/2(8)(7+2)=x

1/2(8)(9)=x

4(9)=X

36=X

Given m∠3+m∠8=180° .

Answers

Answer:

5.175117

Step-by-step explanation:

Cole threw 50 darts. Here are his results Orange 29, Green 15, Blue 5, and Red 1 Calculate the experimental probability for each color. PLEASEEEE HURRYYY​

Answers

Answer:

Orange 29/50, or 58%

Green 3/10, or 30%

Blue 1/10, or 10%

Red 1/50, or 2%

QUICK BRAINLIEST

1- “Dados provenientes de 2.783 homens e 5.018 mulheres maiores de 65 anos de idade da Pesquisa Nacional de Saúde dos Estados Unidos de 1990 determinaram a prevalência de atividade física regular, que naquele estudo foi definida como a participação em atividades físicas no tempo livre por três ou mais vezes por semana e por mais de 30 minutos nas últimas duas semanas. Com esses parâmetros os autores encontraram uma prevalência de atividade física regular de 37% no sexo masculino e 24% no sexo feminino.” Quantos idosos do sexo masculino e do sexo feminino praticam atividade física regular?

Answers

Answer:

no hable spanish

Step-by-step explanation:

Question 4
What is the distance between the points (-6, 7) and
(-1, 1)? Round to the nearest whole unit.
A.about 61 units
B.about 8 units
C.about 13 units
D.about 7 units

Answers

Answer:

B

Step-by-step explanation:

to find the distance between both subtract (-1,1)-(-6,7)= (5,-6)square both then add finally find tge squareroot. squareroot(5^2+(-6)^2)= sqareroot 61 = 7.8 to whole unit= 8 unitanswer 8unit


Find the surface area of the regular pyramid to the nearest tenth

Answers

Answer:

668.17

Step-by-step explanation:

Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =

Answers

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

Click through the graphs and select the one that could represent the relationship between the cost, c, of a call and the time, t, for the cell phone plan shown below.

Answers

Answer:it the last one i just got it right,  i dont know how to put the pic up but, hope this helps.

Step-by-step explanation:

Relationship between the cost, c, of a call and the time, t, for the cell phone plan in the second graph.

What is Graph?

Graph is a representation of a network and is used to describe the connectivity between lines and points.

The below table represents the relationship between the cost in dollars and time in hours

Time in hours      0        1        2        3

Cost in dollars     10       13      16      19

By observing the values and Graph, we can see that 2nd graph matches with the given values.

Hence second graph matches with the value.

To learn more about graph click:

https://brainly.com/question/17267403

#SPJ2

On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Answers

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer:

2rad

Step-by-step explanation:

Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?

Answers

Answer:

451 feet tall

Step-by-step explanation:

3*12=36

36+5=41

41*11= 451

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

Z = 80 degrees and X = 8 degrees

Step-by-step explanation:

The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.

I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)

We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!

Hope this helped!

A can holds 753.6 cubic centimeters of juice. The can has a radius
of 4 centimeters. What is the height of the can? Use 3.14 for π and round to the nearest tenth. PLS HELP :D

Answers

Answer:

result = 15cm

Step-by-step explanation:

Hi! to can solve this, we have to keep in mind this formulas:

1)     Area of a  circuference:

A1 = π [tex]r^{2}[/tex]                     ; where r = radius

2)     Area of a cylinder:

A2 = (π [tex]r^{2}[/tex]) * (h)           ; where h= height

now  we solve:

first, we have to calculate the area of the circumference

A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π [tex]r^{2}[/tex]) * (h)  

[tex]753.6cm^{3}[/tex] = [tex]50.24cm^{2}[/tex] * (h)[tex]\frac{ 753.6cm^{3} }{50.24cm^{2} }[/tex] = h

h = 15cm

Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?

Answers

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

BRAINLIEST IF YOUR RIGHT THANKS

Answers

Answer:

[tex]1st \: = 16.3pints \: \\ 2nd \: = 23.7pints \\ \\ [/tex]

What is -56 = - 8z because I don’t even know the answer

Answers

Answer:

z=7

Step-by-step explanation:

7 times (-8)=-56

hope this helps:)

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Plz help me well mark brainliest if you are correct!!

Answers

6. There are 30 minutes in half a hour. 30 divided by 5 = 6
There are 6 segments of 5 minutes

DOES ANYONE KNOW HOW TO DO THIS AND IF SO I WILL GIVE YOU THE GROWN THING AND 31 POINTS PLS HELP meee

Answers

Answer:

-4,4

Step-by-step explanation:

6q + 8 = -9 - 76

a. 12
b. -12
c. 84
d. -84​

Answers

Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation

Step-by-step explanation:

6q+8=-9-76

6q+8=-85               Subtract 8 from both sides

6q=-93                   Divide both sides by 6

q=-15.5

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.

The prism is filled with cubes that have edge lengths of 12 in.



How many cubes are needed to fill the rectangular prism?

Answers

Answer:

432

Step-by-step explanation:

Answer: 4032

Step-by-step explanation: 9x4x112 is 4032

i took the test and pls give brainiest

In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day

Answers

Answer:

The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:

= 1.

 

Step-by-step explanation:

a) Data and Calculations:

                                                Endoscopies      EP Studies    Total

Projected number of studies         60                      5              65

Time in minutes for per study         5                     15

Total time required (in minutes) 300                     75           375

Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.

b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1.  The FTE has 450 minutes available for the additional procedures.  She will only require 375 minutes.  Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.

for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?

Answers

Answer:

Her profit would be $1.30

$1.32 because she paid .53 each ($3.20) and sold them for .75 each . Making .22 per box

help me pls i don't have many points pls help if you don't believe me go to my acc and look at my points i only have 13

Answers

Answer:

1. 14

2. 17.5

3. 60

4. 238

5. 91.4375

6. 58.065

Step-by-step explanation:

Sorry, I'm only doing 6, GOOD LUCK!!!

Given X=[b a 4 a], Y=[c d a b], and Z=[a c 16 b]. What is Y if x-2y=z?

Answers

Answer:

A

[2, -4, -6, -2]

Step-by-step explanation:

Find the total amount due on a loan of $650 at the annual simple interest rate 5% at the
end of 6 months

Answers

Answer:

$666.25

Step-by-step explanation:

Use the equation A = P(1 + rt)

P=16.25

$650+$16.25=666.25

Write an equivalent expression for 6( 4 + 2m) ?

Answers

Answer:

QUESTION:

Write an equivalent expression for 6( 4 + 2m) ?

ANSWER:

6(4+2m) = ?

6 X 4 = 24

6 X 2m = 12m

Final answer:

12m + 24

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Plz show work, NEED HELP FAST PLZ

Answers

Answer:

5. 4        6. 6

Step-by-step explanation:

Number 5

[tex]10-2\sqrt{9}[/tex]

[tex]2\sqrt{9}=6[/tex]

[tex]=10-6[/tex]

Subtract the numbers: 10 - 6 = 4

[tex]=4[/tex]

Number 6

[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]

[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]

[tex]=70-64[/tex]

Subtract the numbers: 70 - 64 = 6

[tex]=6[/tex]

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