There are 52 cards in a standard deck: 13 hearts, 13 clubs, 13 diamonds , and 13 spades. Timothy draws four cards at random from the deck, one of each suit. If he draws again , without replacing the four he drew, what is the probability that the next card is a heart

Answers

Answer 1

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Total number of cards in a standard deck = 52

Number of hearts in the deck = 13

Number of clubs in the deck = 13

Number of diamonds in the deck = 13

Number of spades in the deck = 13

Four cards are drawn at random by Timothy.

These four cards are drawn from each one of the suits.

And the cards are not replaced.

Therefore, now cards remaining in each suit:

Remaining number of hearts in the deck = 12

Remaining number of clubs in the deck = 12

Remaining number of diamonds in the deck = 12

Remaining number of spades in the deck = 12

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases are 12 (i.e. number of hearts)

Total number of cases = 12 [tex]\times[/tex] 4 = 48

Therefore, the required probability is:

[tex]\dfrac{12}{48} = \bold{\dfrac{1}4}[/tex]


Related Questions

1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth

Answers

Answer:

Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go

the ratio of 82 and 73​

Answers

Answer: 82:73

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?

11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

between 7 and 23

Step-by-step explanation:

Please help will mark the brainliest

Answers

Answer:

y=-x-2 this is the answer

Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25

Answers

Answer:

its D/ 56.25

Step-by-step explanation:

because the other numbers are too small

He earns $56.25 because you multiply 12.50 by 4.5 hours.

Jeremy was 45 inches tall when he started kindergarten. He grew an average of 2.5
inches every year. Jeremy is now 62.5 inches tall.
Which equation can be used to find how many years ago Jeremy started kindergarten,
and how many years ago was it?

Answers

Answer:

subtraction

Step-by-step explanation:

its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it

24 hour fitness charges $250 as a registration fee and $15 per month. How much would you pay to be a member of 24 hour fitness for a year?

Answers

Answer:

430 dollars per year

Step-by-step explanation:

The formula to use is...

C=250+15x

C is the cost per year

250 is the flat fee

15 is the cost per month

x is the number of months

Helppppp


If 4 dogs are in a parking lot, and a bird dies in South America and a train in California is going 40 miles per hour but chef mesoi is cooking spaghetti, but he burns the bread what is the radius of the sun

Answers

Answer:

dolphin wing measuring 2.7 cm

Step-by-step explanation:

if you take the length of the cheese and multiply that by the area of the parking lot, you will notice a w in the equation and w is water in hieroglyphs so you go to the ocean and you see the wing

Answer:

this way the other person gets brainliest

Step-by-step explanation:

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

In an equation, y varies directly as x varies. If y = 72 when x = 12 what is the value of x when y = 48?

Answers

Answer:

8

Step-by-step explanation:

y=kx where k is a constant.

72=12k

k=72/12=6

y=6x

48=6x

x=48/6=8

Solve this inequality for X.
81 – 11: < 55
OA. 1 > 21
I < 113
OB.
Ос.
3
OD.
I< -21

Answers

Answer:

infinity

pick any answer, its a trick question, it says, SOLVE INEAQUALY

whatis the value of y?​

Answers

Answer is A, y = 65

The top angle is 50 because 180 - 130 = 50
Since the top angle is 50, the two bottom angles have to add up to 130. Since the bottom angles are the same, you can do 130 / 2 to find the angles which equals 65.

Answer:

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Step-by-step explanation:

NEED HELP ASAP ILL GIVE BRAINLIST
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?

Answers

Answer: the first one. the graph is right side up.

Answer:

fuffufufufufufufufufufufufufufuufufufufufufufufufufufufufufffuffuffuffuufufuf

Step-by-step explanation:

7x+8(x+1/4)=3(6x-90-8

Answers

Answer:

exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3

Step-by-step explanation:

Answer:

First result: X = 248/3 or 82.67    Second result: X = 260/3 or 86.57

Step-by-step explanation:

1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)

              7x + 8x + 2 = 18x - 270 - 24

                 15x + 2 - 2 = 18x - 246 - 2

                  15x - 18x = 18x - 18x -248

                -3x = 248  -->   -3x/3 = 248/3

                    X = 248/3 or X = 82.67

2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8

                  7x + 8x + 2 = 18x - 270 - 8

                   15x + 2 - 2 = 18x - 262 - 2  

                    15x - 18x = 18x -18x - 260

                   -3x = 260 --> -3x/3 = 260/3

                        X = 260/3 or X = 86.67

Sorry if none of these are the answer!

The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?

A. The population of the city decreases by 140 during the next year.
B. The population of the city decreases by 10 people per month during the next year,
C. The population of the city stays constant during the next year.
D. The population of the city increases by 140 during the next year.

Answers

B is the answer you are looking for

On,Saturday, Alexa babysat her neighbors kids for 180 minutes. Then, on Sunday she babysat her little brother for 2 hours.how many hours did she babysit on Saturday and Sunday .

Answers

Answer:

5 hours

Step-by-step explanation:

To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:

180/60 = 3

So, Alexa babysat for 3 hours on Saturday.

Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!

I hope this helps!!

- Kay :)

I’m using the rest of my points please help! I’m so lost and my math teach never explained it and would only talk about politics

Answers

8EWHFSCKJYFCHBDCFAESSREDSEREDSEEEEEEEEJDUJEURYRHDNCX  NX NNDND

Answer:

The translation 3 units down and 5 units to the left

Step-by-step explanation:

Graph of |x| is the one starting in the origin and the other one is the other picture

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

What is (f - g)(x)?
f(x) = 3x?
g(x) = -x? + 4

Answers

Answer:

(f - g)(x) = 4x - 4

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3x

g(x) = -x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute:                    (f - g)(x) = 3x - (-x + 4)Distribute -1:                 (f - g)(x) = 3x + x - 4Combine like terms:    (f - g)(x) = 4x - 4

Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?

Answers

Answer:

Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

The slope (rate of change) of the function is 70.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Verizon charges a $100 initial contract fee,

then $70 a month for a basic cell phone plan.

Let the x be the number of months.

So, the equation,

y = 70x + 100

By comparing with the slope-intercept form,

y = mx + b, where m is the slope.

So, m = 70.

Therefore, 70 is the slope.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in ​​​​​​​3 liters?
F.101 fl oz
G.33 fl oz
H.10 fl oz
J.89 fl oz

Answers

Answer:

G.

Step-by-step explanation:

The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does the 500 tell us about the situation?

Answers

Answer:

m=y8+2x

Step-by-step explanation:

Which number line represents the solution set for the inequality -1/2x>4

Answers

Answer: D

Step-by-step explanation: D because if your turn 1/2 into a decimal point it 0.5 (don't forgot to add the negative) and so i then divided -0.5 from x and just got x then you have to do the same for the other side. So i took 4 and divided it by -0.5 and got -8 to the expression would be x is greater then or equal to -8. you plot the dot at -8 and the line goes in front of it because it is lesser or equal to x (remember you reverse the problem if you say it back words so don't get confused), but after my long explanation just pick D

HEELLLPPP ILL GIVE BRAINLIEST
A tree casts a shadow 24ft long. A 6ft man casts a shadow 8ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?

Answers

Answer:

The answer would be 18 ft tall

Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%

Answers

Answer:

54.67 Dollars

Step-by-step explanation:

82 / 3 = 27.33, 82 - 27.33 = 54.67 :D

Answer:54.94

Step-by-step explanation:

Cuantos minutos hay en 4 horas

Answers

Answer:

240

Step-by-step explanation:

Answer:

240 minutos.

Step-by-step explanation:

How many minutes are in 4 hours. Multiply 60 by 4. 60x4=240 minutes.


A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then
selects a second marble. What is the probability he selects a red marble given that he first selects a blue marble?
A)1/5
B)2/5
C3/5
D)4/15
HELP ASAP ILL GIVE BRAINLIEST

Answers

i would say the answer is d if it’s supposed to say 4/5 instead of 4/15

Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?

Answers

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

pls help me solve this

Answers

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!

Answers

Answer:

x = -2, y = -9

Step-by-step explanation:

You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.

y = 2x -5 will become

4x - 1 = 2x - 5

Add 5 to both sides

4x + 4 = 2x

Subtract 4x from both sides

4 = -2x

Divide both sides by -2

-2 = x

Now we plug this number into an equation to find y.

y = 4x - 1 becomes

y = 4(-2) - 1

Simplifying it, we have:

y = -8 - 1

y = -9

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