Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places

Answers

Answer 1

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

[tex]P(B|A) = \frac{12}{51}[/tex]

What is the probability of choosing a king and then, without replacement, a face card?

[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]

0.0181 probability of choosing a king and then, without replacement, a face card.


Related Questions

Calculate a critical z-score for a left-tailed, right-tailed, or two-tailed test.

a. The critical z-score for a left-tailed test at a 12% significance level is -0.45.
b. The critical z-score for a right-tailed test at a 9% significance level is 1.34.
c. The critical z-score for a two-sided test at a 4% significance level is 1.75.
d. The critical z-score for a two-sided test at a 20% significance level is 0.85.

Answers

Answer:

a. Z = -1.175.

b. Z = 1.34.

c. |Z| = 2.054.

d. |Z| = 1.28.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. The critical z-score for a left-tailed test at a 12% significance level

Left-tailed test: The region of interest is the 12th percentile or below.

Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.

b. The critical z-score for a right-tailed test at a 9% significance level

Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.

Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.

c. The critical z-score for a two-sided test at a 4% significance level is 1.75.

Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.

d. The critical z-score for a two-sided test at a 20% significance level is 0.85.

Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.

Can someone help me solve this

Answers

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

A flower garden is the shape of a circle. The circumference of the garden is 20 meters. What is the area of the garden. Use 3.14 for pie and round your answer to the nearest whole number.

Answers

Answer:

Circumference = 2 pi r = 2*3.14 *r = 20

radius r = 20 / 2*314 =  3.185

Area = pi r^2 = 3.14 * 3.185^2 = 32  m^2 to nearest whole number

2x^2=50 solve the equation algebraically?

Answers

2x^2 =50 your welcome

Recounting Rectangles
How many rectangles are
there in the figure below?

Answers

I see 15 rectangles

Answer:

gimme a second, I'll comment

(7.3 × 10-9) + (1.5 × 10−9) in standard form

Answers

Answer:

The answer in standard form is 70.

Answer:

(7.3*10-9)+(1.5*10-9)

(73-9)+(15-9)

64+6=70

Step-by-step explanation:

A box has seven orange hats and 19 yellow hats if you pick three hats without replacement what is the probability that you pick at least two orange hats from the box?

Answers

Answer:

a chance of 3.16

Step-by-step explanation:

define prism and itz color​

Answers

Answer:

triangle piece of glass that different colors of light travel through

PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED I NEED THIS LIKE RIGHT NOW PLEASE HURRY SHOW ALL OF YOUR WORK! (b) What is 1.363636... expressed as a fraction in simplest form? SHOW ALL OF YOUR WORK ( c) what is 5.152 expressed as a fraction in simplest form? SHOW ALL OF YOUR WORK ​

Answers

Answer:

1.3636363636...

can be expressed as

1 + 4/11

I tried out different fractions

1/11 is just 0.09090909...

4/11 is 4 times thar

1 = 11/11

so it's just 15/11

5.152

can be written as

[tex] \frac{5.152}{1} [/tex]

or as

[tex] \frac{5152}{1000} [/tex]

simplified with 8

[tex] \frac{644}{125} [/tex]

Question #7: Which revolution resulted from the division of society shown in this diagram?
(5 Points)
First Estate Second Estate
Third Estate
Magd

KUIN
பரிழப்பாகத் AARA
annu
MIA
AACAAN
Clergy
Nobles
Atées en
be eagere
1% of the people
owned 10%
of the land
2% of the people
owned 25%
of the land
Bab 2 828
Anu
AR SALE
M
Middle class, peasants, city workers
97% of the people owned 65% of the land
Source Schwartz and O'Connor Democracy and Nationalism Globe Book Company (adapted from the NYS Global History and Geography Regents
Exam August 2007
Puritan (1642)
French (1789)
Mexican (1910)
Russian (1917

Answers

Answer: French (1789)

Step-by-step explanation:

What is the factorization of the trinomial below?
x2 - 6x + 5
O A. (X - 4)(x - 2)
O B. (X - 5)(x - 1)
O C. (x + 4)(x - 2)
O D. (x + 5)(x - 1)

Answers

B. [tex](x - 5)(x - 1)[/tex] ✅

Step-by-step explanation:

[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] =\: x(x - 5) - 1(x - 5)[/tex]

Taking the factor [tex](x-5)[/tex] as common,

[tex]=\:(x - 5)(x - 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?

Answers

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

[tex]y - 4.55x = 581[/tex]

That is:

[tex]y(x) = 4.55x + 581[/tex]

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]

The projected population in 2026 is of 699.3 million.

how to write expression for The product of ten less than a number and the number

Answers

Answer:

x-10

Step-by-step explanation:

ten is less than x

follow me for more answer

Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4 i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0

Answers

It's the first one (7+4i)+(7-4i)=14

Answer:

b. on edge

Step-by-step explanation: just did the quiz and got it right

BRAINLIEST PLS HELP
(05.03)
Identify the initial value and rate of change for the graph shown
initial value:1,rate of change 3/5
initial value:3/5 ,rate of change 5/3
initial value :1,rate of change 5/3
initial value:5/3,rate of change:0

Answers

Answer:

the initial value is 1, rate of change 3/5

Step-by-step explanation:

rate of change is the slope, which is not zero and is def not 5/3

it started at 1, so thats the initial value

PT=3x+3 and TQ=6x-6
Use the figure to the right to find the value of PT. T is the midpoint of PQ

Answers

Answer:

PT = 12 units

Step-by-step explanation:

Given that,

PT=3x+3 and TQ=6x-6

T is the midpoint of PQ.

If T is mindpoint of PQ, it means,

PT = TQ

Substitute all the values,

3x+3 = 6x-6

Taking like terms together,

3x-6x = -6-3

-3x = -9

x = 3

So,

PT = 3x+3

= 3(3) + 3

= 9+3

= 12

So, the value of PT is equal to 12 units.

Simplify the given expression and enter in numerical form.6+5

Answers

Answer:

6+5=11

Step-by-step explanation:

6 is added to 5

i am sorry if i am wrong


I NEED IT FASTTTTTTTTTTTTTTT

Answers

Answer:

17

Step-by-step explanation:

Which expression and diagram represent “three times a number”?
3 x right-arrow 3 boxes with x and 3 boxes with minus signs
3 x right-arrow 3 boxes with x

3 + x right-arrow 2 boxes with x and 3 boxes with plus signs

x + 3 right-arrow 3 boxes with plus signs

Answers

Answer:

b

Step-by-step explanation:

Answer:

took the test, it is B like the other person said!!

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint 1: (−1,2) Midpoint: (9,−6) Endpoint 2=

Answers

the end point i think is (19,-14)

Consider the graphs shown below. Look at each trend line.

Which line does a better job capturing the trend of the data? Explain.

Answers

Answer:

GraphB

Step-by-step explanation:

To obtain the best line of fit, we need the line which minimizes the sum of the squared distances, Therefore, from visual inspection, we can conclude that the best line of fit will be one in which the distance between each individual distance and the line of best fit is minimized, for the first graph, only the upper points are close to the regression line leaving the lower values further away, however, the secubd graph gives a more uniform distance between all the data values and the regression line. Hence, it does a better job at capturing the trend in the data.

Someone help me please
whats the square root of 0.0025

Answers

Answer: 0.05

Explanation: √0.0025=0.05

8. In rural third world countries, farmers use a
conical bucket, the "Gầu Dây” to drain/transfer
water from one rice field to another. If the height
is 20" & the diameter of the opening is 15”, how
much cubic feet of water can two farmers drain
in three hours if their rate is 28 “gầu" per
minute?

Answers

9514 1404 393

Answer:

  6872 cubic feet

Step-by-step explanation:

The volume of the conical bucket is ...

  V = 1/3πr²h

  V = 1/3π(15/2 in)²(20 in) = 375π in³

There are 60 minutes in 1 hour, so 3×60 = 180 minutes in 3 hours.

If each of 2 farmers can transfer 28 buckets per minute the total amount transferred is ...

  (375π in³)(180 min)(2 farmers)(28/min/farmer) = 3,780,000π in³

There are 1728 in³ in 1 ft³, so this is ...

  (3,780,000π/1728) ft³ = 2187.5π ft³, about 6872 cubic feet.

which expresion is equivalent to-12(3x-3/4)
A -36x-8
B -36x+8
C -36x-9
D -36x+9​

Answers

Answer is D :) it makes sense

All of the following solid figures except a _____ have two bases.

Answers

Answer:

All of the following solid figures except a square pyramid have two bases.

What is the Answer
Please Help

Answers

Answer:

Step-by-step explanation:

circumference=2πr

=2*3.14*2

=12.56 km

100 students attended a revision lesson at the weekend.
Each student went to Maths or English or Science.
55 of these students attended on Saturday.
Over the weekend a total of 40 students went to Maths.
12 of the 27 students that went to Science went on Sunday.
10 students went to English on Saturday.
How many students went to the Maths revision lesson on Saturday?

Answers

Answer:

I am pretty sure its 30 students

Use the intercepts to graph the equation x-5=y

Answers

9514 1404 393

Answer:

  see beow

Step-by-step explanation:

When x=0, y=-5. The y-intercept is (0, -5).

When y=0, x-5=0, so x=5. The x-intercept is (5, 0).

Plot these two points and draw the line through them.

11
12
13
14
15
16
18
19
20
What is the value of x in the equation (3x + 12) = {(x + 14) – 3?
0
-24
46
0 0

Answers

Answer:

x = -24

Step-by-step explanation:

(2/3)(x/2 + 12) = (1/2)(x/3 + 14) - 3

2x/6 + 24/3 = x/6 + 14/2 - 3

2x/6 + 8 = x/6 + 7 - 3 = x/6 + 4

x/6 + 8 = 4

x/6 = -4

x = -24

Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)

Answers

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

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Little help plz Is this a complete sentence? 8 9 help me plsss free nitro What is done by patient trying Find the area of the figure.1 in1 in5 in3 in3 inPLEASE HELP ITS URGENT ITS DUE BY 8 hy plzzzzz helpp fasttttttttttttrrr In this excerpt from The Valiant Little Tailor by the Brothers Grimm, which three elements are used to describe the setting?One summer's morning a little tailor was sitting on his table by the window . . .time of yearlocationmoodclimatetime of day The Wright Brothers were bicycle mechanics from Kitty Hawk, NC.TrueO False Everyone (has/have) done his or her homework. complete the statements with the correct direct object pronouns A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 5 green marbles. What is the probability that the marble is yellow? Read passage: ( I'm writing out the first have of the passage. The end of the passage is in the Picture that I Posted so make sure you read it). Passage: Excerpt from "A Cooking Revolution:How Clean Energy and Cookstoves Are Saving Lives" by Chef Jose Andres, June 7, 2016.) Cooking: it's a simple act that has brought families around the world together for thousands of years. As a chef, I can think of few things more beautiful than that. However, I also know how deadly such a simple act can be, not only to our health, but to our environment. Think about it: For Americans, turning on the stove means simply turning a knob or switch. For people living in developing countries, particularly women and childern, it means hours of collecting fuels like firewood, dung, or coal to burn in a rudimentary, smoky cookstove or over an open fire. The result is a constant source of toxic smoke that families breathe in daily causing diseases like child pneumonia, heart disease, and lung cancer, not to mention taking a child away from her education. In fact, diseases caused by smoke from open fires and stoves claim 4.3 million lives every year. That's more than AIDS , malaria. and tuberculosis combined. And the environment suffers, too. When people collect wood every day from their local forests to create charcoal or fuel for wood - burning stoves, it creates an unsustainable pace of deforestation that leads to mudslides, loss of watershed, and other environmental consequences. These stoves also contribute up to 25 percent of black carbon emissions, a pollutant that contributes directly to climate change. You see, from what we cook to how we cook, our foods connects with our lives on so many levels. That's why having access to better technology and clean energy for cooking is as equally important as the ingredients in the food being prepared. It's also why I'm proud to support an effort to bring clean cookstoves and fuels to millions of people in developing countries. ( Question 1: Read this paragraph from the excerpt: And the environment suffers, too. When people collect wood every day from their local forests to create charcoal or fuel for wood - burning stoves. it creates an unsustainable pace of deforestation that leads to mudslides, loss of watershed, and other environmental consequences. These stoves also contribute up to 25 percent of black carbon emissions, a pollutant that contributes directly to climate change. " Why does the author place this paragraph immediately after the two paragraphs about diseases?) A) This paragraph makes a point that contrasts with the point of the previous two paragraphs. B) This paragraph is less important than the previous ones. so it is placed later in the order. C) This paragraph continues the previous two paragraphs by providing evidence for their idea. D) This paragraph makes a related but broader point about environmental harm rather than harm to individuals. ( Question 2) What is the effect of this quote on the tone of the passage? I'm proud to support an effort to bring clean cookstoves and fuels to millions of people. A) It contributes to a somber tone. B) It contributes to a lighthearted tone. C) It contributes to a passionate tone. D) It contributes to a factual tone. ( Question 3) Read these paragraphs from the excerpt: Cooking: it's a simple act that has brought families around the world together for thousands and thousands of years. As a chef, I can thinknof a few things more beautiful than that. However, I also know how deadly such a simple act can be, not only to our health, but to our environmental. Think about it: For Americans , turning on the stove means simply turning a knob or switch. For people living in developing countries, particularly women and childern, it means hours of collecting fuels like firewood, dung, or coal to burn in a rudimentary, smoky cookstove or over an open fire. ( How do these paragraphs contribute to the development of the author's argument?) 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A. 0 milesB. 2.5 milesC. 5 milesD. 10 miles Please help worth 20 points Ex:3 help me pleaseeeeeee