Problem 1 (3 + 3 + 3 = 9) Suppose you draw two cards from a deck of 52 cards without replacement. 1) What’s the probability that both of the cards are hearts? 2) What’s the probability that exactly one of the cards are hearts? 3) What’s the probability that none of the cards are hearts? Make sure to clearly define your probabilistic events and mathematically show how different probability laws and rules that you learned in class could be applied to solve the problems.

Answers

Answer 1

Answer:

0.0588235; 0.3823529; 0.5588235

Step-by-step explanation:

Given that:

Total number of cards = 52

Total number of hearts = 13

Probability = required outcome / Total possible outcomes

Two cards are drawn without replacement :

1) What’s the probability that both of the cards are hearts?

First draw :

P(hearts 1) = 13 / 52

Second draw :

P(hearts 2) = 12 / 51

P(both cards being hearts) :

(13 /52) × (12/51) = 156 / 2652 = 26/442 = 13 / 221 = 0.0588235

2) What’s the probability that exactly one of the cards are hearts?

First draw being hearts, 2nd not hearts Or First draw not hearts and 2nd being hearts

P(first draw hearts) = 13 /52

P(2nd not hearts) = 39/51

13/52 × 39/51 = 0.1911764

P(first not hearts) = 39 /52

P(2nd being hearts) = 13 / 51

39/52 × 13/51 = 0.1911764

Hence, (0.1911764 + 0.1911764) = 0.3823529

3) What’s the probability that none of the cards are hearts

P(first draw, no hearts) = 39/52

P(second draw, no hearts) = 38/ 51

39/52 × 38/51 = 1482 / 2652 = 0.5588235


Related Questions

Translate and solve: −5 times b is no less than −35.

Answers

-5 x b =-35
I’ve done this in school before my teacher told us that was the answer so

Answer:

(- ∞, 7]  GIVE BRAINLIEST PLZ

Step-by-step explanation:

The equation from that word -5b > -35

Solve that and you get (- ∞, 7]

Answer and I will give you brainiliest

Answers

Answer: You can buy 5 shirts if you buy 2 pair of pants.

Step-by-step explanation: Just out of curiosity, where do you live? I’m just wondering because I’ve never heard of the AED as a money unit... lol

Answer:

Step-by-step explanation:

Why are you so mean to me

Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. Z+1=Z+6

Answers

Answer:

No solutions

Step-by-step explanation:

I say this because Z could be a lot of things but it would still not be the same

What is the area of the triangle?
(-6,3)
(-3,-5)
(-1,3)

Answers

Hey there! I'm happy to help!

To find the area of a triangle you multiply the base by the height.

We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.

To find the area of a triangle, you just multiply the base by the height then divide by 2.

5(8)=40

40/2=20

The area is 20 square units.

Have a wonderful day! :D

12y = 24х
6x = 3y +5

Answers

Answer:

24x-12y=0

6x-3y-5=0

a1/b1  = 4

a2/b2 =4

a1/b1 = b1/b2 ≠ c1/c2

∴ The pair of linear equations in two variables is said to be inconsistent and do not have any solution.

Answer:
The equation has no solutions

Explanation:
0 does not equal 20

Please see the picture attached.

A 5.5 foot tall woman is standing 14 feet from a streetlamp casts a six foot shadow. How high is the lamp?

Answers

Answer:

The height of the lamp is  18.33 ft

Step-by-step explanation:

We can think in two triangle rectangles, one with cathetus of:

5.5ft and 6ft (the one formed by the woman ad her shadow)

And another triangle with cathetus equal to:

6ft + 14ft (the distance between the end of the shadow and the lamp)

And the other cathetus is the height of the lamp, H.

As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:

H/(6ft + 14ft) = 5.5ft/6ft

H/(20ft) = 5.5ft/6ft.

H = (5.5ft/6ft)*20ft = 18.33 ft

How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160.d. 40, 320.

Answers

Answer:

C. 20,160

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

Hence this can be done in 20,160 number of ways

Y is the midpoint of XZ. X has coordinates (2, 8), and Y has coordinates (–3, 10). Find the coordinates of Z.

Answers

Answer:

The coordinates of Z is (-8,12)

Step-by-step explanation:[tex]\frac{2+x^{2} }{2}= -3 \\\frac{8+y^{2} }{2} = 10[/tex]

You multiply -3 by 2 to get -6 then multiply 10 by 2 to get 20

then you create the equations [tex]2+x^{2} =-6\\8+y^{2} =20[/tex] you subtract 2 by -6 and you get -8 (x coordinate) and you subtract 8 by 20 to get 12 (y coordinate)

To check your answer you use the Midpoint formula [tex](\frac{x^{1}+ x^{2} }{2} )(\frac{y^{1}+y^{2}}{2}) =M[/tex]

[tex]\frac{2+-8}{2} =\frac{-6}{2} = -3\\\frac{8+12}{2} =\frac{20}{2} =10[/tex] and you get your midpoint.

Which statement is the most precise and correct definition of parallel lines?
Two lines are parallel if they do not intersect.
Two lines are parallel if they are on the same plane.
Two lines are parallel if they intersect at a right angle.
Two lines are parallel if they are at a constant distance apart.

Also does anyone have the Final exam answers for primavera geometry 1a?

Answers

Answer: Two lines are parallel if they are at a constant distance apart

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

y = f(x) = 4x
Find f(x) when x=1/2
Enter the correct answer.

Answers

Answer:

2

Step-by-step explanation:

4(1/2) = 2

the answer to this question is 2

Gemma and her cousin went to a restaurant for dinner. Gemma's dinner cost $5 more than her cousin's. If their combined bill was under $25 which inequality best describes the cost of their dinners?

Answers

Answer:

Bill of Gemma is x

Bill of her cousin is x+5

Combined bill is: 2x + 5 <25

=> x < 10

Bill of Gemma was under $10

Step-by-step explanation:

Brainliest is gained through the correct answer, that's explained. At 86 km/h, how far can you travel in 8 h? Use unit analysis to check your answer.

Answers

Glad I can help!!!

Answer:

688

Step-by-step explanation:

Assuming that the car stays at exactly the same speed for all 8 hours then the equation you should use is 86 x 8=688.

If satisfied leave a review to let me know how I did and feel free to give brainiest.

Answer:

688 kilometers.

Step-by-step explanation:

im not sure what unit analysis is, but you would multiply 8 and 86. kilometer per hour. soo yeah lol 8×86=688. you would be able to travel 688 kilometers. you Don't have to give me brainliest lol but I hope that this helps :)

If h(x)=-3x^2-6x, find x when h(x)=-72.

Answers

Answer:

x = 6, -4

Step-by-step explanation:

3x²-6x = -723x² - 6x +72 =03(x²-2x+24) =0x²-2x+24=0(x-6)(x+4)=0x= 6, -4

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 2 < x < 4.
C
2
51
3
39
4
29
5
21
6
15

Answers

i would say it could possibly be 67

I roll a number cube twice. What is the probability of rolling a 3 twice? ​

Answers

Glad I can help!!!

1/36

If satisfied give brainiest please :D

Erin counted 8 commercials in 15 minutes. Find how many commercials are
shown in 1 minute.
Your answer

Answers

Answer:

the answer is 23

Step-by-step explanation:

Help me this is due last week help me,

Answers

Answer:

1 and 3 are irrational!!! The others are all rational

Step-by-step explanation:

1 and 3 are never terminating and they are not repeating, therefore, they are irrational! All the others are either terminal (they have a decimal that stops) or they are repeting and those repeting numbers can be written as a fraction, for example 0.2222... can be written as 2/9

can someone please help me with this geometry question?

Answers

Answer:

25

Step-by-step explanation:

So basically it’s a line that’s has 3 points.
From G-H it’s 8
From H-I it’s 17
The whole line would be named GI so you are basically just adding the 2 parts together 8+17 to get the answer of 25!

determine if the following is parallel perpendicular or neither. y=2/3x-5 and 2x-3y=12​

Answers

It is neither did we e

If the area of a triangular kite is 40 square feet and its base is 4 feet, find the height of the kite. Give solution with units.

Answers

Answer:answer it your self dummy

Step-by-step explanation:

solve for y
y + 8 = 2

Answers

Y + 8 = 2
-8 =-8
Y=-6

Answer:

y = -6

Step-by-step explanation:

y + 8 = 2

=> y = 2 - 8

=> y = -6

please solve: m²j³j⁵/m⁸j⁻²m³

Answers

Step-by-step explanation:

first, simplify each part.

m²j^8

m¹¹j^-2

now put them together:

(m²j^8)÷(m¹¹j^-2)=m^-9 j^10

if anything is unclear, ask freely.

1. Evaluate 7m + 3mn; when m=8 and n=14?

2. Simplify: 675 ÷ (6+9 ÷ 3)

3. (3x - 2)(4x +1)

Answers

Answer:

1. 392

2. 75

3. [tex]12x^{2} - 5x -2[/tex]

Step-by-step explanation:

1. 7×8 + 3×8×14 = 56 + 336 = 392

2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75

3. [tex]12[/tex][tex]x^{2}[/tex] + [tex]3x -[/tex] [tex]8x - 2[/tex] = [tex]12x^{2} -5x-2[/tex]

3xy(5x2 + 2xy + 3y2)
Multiply this

Answers

10x+2xy+6y I answered this must self and solved it

1. -7-(-2) *

2. 5-(-3) *

3. -6-4 *

4. -3-(-3) *

Can someone please help me? it would mean a lot

Answers

1. -7-(-2)
= -7+2= -5

2. 5-(-3)
= 5+3=8

3. -6-4
= -6+(-4)= -10

4. -3-(-3)
= -3+3= 0

Mary is having a party at the park. She is going to spend $438.
The cost to rent the shelter is $15 plus food is going to cost $6
per person. How many people is she having?

Answers

Answer:

70 people

Step-by-step explanation:

428-15=423

423/6=70.5

she can invite 70 people

If f(x)=-3x+4 and g(x)=2 solve for the value of x for which f(x) = g(x) is true

Answers

Set the equations equal to eachother. Make -3x+4 = 2 and solve. You got this!

Suppose T(n) = n(n +1)/2. Find T(10).


a
45
b
45/2
c
55/2
d
55

Answers

Answer:

D. 55

Step-by-step explanation:

[tex]T(n) = \frac{n(n +1)}{2} \\ \\ T(10) = \frac{10(10 +1)}{2} \\ \\T(10) = \frac{10\times 11}{2} \\ \\T(10) = 5 \times 11 \\ \\ \huge \red{ \boxed{T(10) = 55}}[/tex]

PLEASE HELP ASAP (timed assignment)

Aidan is on vacation and needs to arrange transportation. A rental car costs 45 dollars per day plus a one-time cost of 15 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.

C(x)=________

If Aidan has budgeted 195 dollars for the rental, how many days can he afford?

Answers

Answer:He can afford 4 days

Step-by-step explanation:

45 x 4 is 180$, plus the 15 for insurance equals 195

I've been stuck on this for awhile​

Answers

Answer:

B) $3.56

Step-by-step explanation:

The price of one egg: $1.69

The price of a slice of bacon: $1.49

The price of a glass of orange juice: $1.09

Sara buys 2 eggs, 1 slice of bacon, and 1 glass of orange juice.

(2 eggs x $1.69) + (1 bacon x $1.49) + (1 glass of oj x $1.09) =

($3.38) + ($1.49) + ($1.09) = $5.96

Next, add the total gotten with the sales tax.

Sales tax: $0.48

$5.96 + 0.48 = $6.44

Then, subtract the total from the $10 that she used to pay:

$10 - 6.44 = $3.56

B) $3.56 is your answer.

~

Answer:

3.56

Step-by-step explanation:

because first, you 1.69$ dollars 2 times since your ordering it 2 times which gets you 3.38 $ next you add 1.49$ dollars because that's what a slice of bacon cost, then add1.09 since that's what a cup of orange juice cost. Then add  0.48 cents because that's the sale tax, at the end when you add everything up you get 6.44$ then subtract that from 10.00, then you get your answer!

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