Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places

Answers

Answer 1

Answer:

[tex]\frac{13}{204}[/tex] ≈ 0.0637

Step-by-step explanation:

Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.

To find: probability of choosing a heart and then, without replacement, a spade

Solution:

Probability refers to chance of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of outcomes

Total number of cards = 52

Number of hearts = 13

So,

probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Number of remaining cards = [tex]52-1=51[/tex]

Number of spades = 13

Probability of choosing a spade = [tex]\frac{13}{51}[/tex]

Events consisting of choosing a heart and spade are independent.

So,

Probability of choosing a heart and then, without replacement, a spade =

Probability of choosing a heart × Probability of choosing a spade

= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637


Related Questions

Can someone please help me?

Answers

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

Early diagnosis and treatment of malaria are necessary components in the control of malaria. The gold-standard light microscopy test has high sensitivity but is a relatively time-consuming procedure especially during epidemics and in areas of high concentration. A new Cyscope fluorescence microscopy test has been developed and gives results in less than 10 minutes. The test has a specificity of 98.92% and a sensitivity of 95.48%.

Required:
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
b. What proportion of people who test positive for Malaria will not have the disease?

Answers

Answer:

a) 0.9548

b) 0.0452

Step-by-step explanation:

Specificity of test:

The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.

Sensitivity of test:

The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.

a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?

This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.

b. What proportion of people who test positive for Malaria will not have the disease?

True positive rate is of 95.48%.

1 - 0.9548 = 0.0452

So the proportion of people who test positive for Malaria will not have the disease is 0.0452.

Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?

Answers

the answer is 25 i think

9 and 11 need help
Mark brainlist

Answers

I will do 9 only. You can do 11.

Question 9

sin(60) = x/8

sin(60)(8) = x

4•sqrt{3} = x

x^2 + y^2 = 8^2

(4•sqrt{3})^2 + y^2 = 64

16(3) + y^2 = 64

48 + y^2 = 64

y^2 = 64 - 48

y^2 = 16

sqrt{y^2} = sqrt{16}

y = 4

Do 11 the same way.

whats the sum of 1/6+1/3+1/6

Answers

Answer:

2/3

Step-by-step explanation:

2/6 is equal to 1/3 so I added both 1/6's together first and then added the resulting 1/3 with the other 1/3 and got 2/3

you could also convert the 1/3 to 2/6 and add all the sixths together to get 4/6 which is equal to 2/3

hope this helps chu<3

Answer:

4/6.

Step-by-step explanation:

1/6+1/6=2/6 1/3 converts into 2/6 so 2/6+2/6=4/6

&50+ E3 857=6180 150 #130 GELD Four girls have $5.00 to share equally. How much money will each girl get? Explain. What if four girls want to share $5.52 equally? Hov vill each

girl get? Explain.



answer is 5.00/4=1.25​

Answers

Answer:

Step-by-step explanation:

(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl

:::::

(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl

The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.

Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?

Answers

Answer- b

Step-by-step explanation:

its b

How do I know how to do this

Answers

Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...

Step-by-step explanation:

Answer:

Step-by-step explanation:

well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions

An artist is painting a flower pot that each require 1/34 gallons of paint what is the maximum numbers of flowerpots the artist can paint with 3/4 gallons of paint.

A.12
B.16
C.24
D.32
E.42

Answers

Answer:

C

Step-by-step explanation:

Hello There!

We can easily calculate the amount of flower pots he can paint by dividing the amount of paint he has by how much paint each flower pot requires

[tex]\frac{.75}{\frac{1}{34} } =25.5[/tex]

The closest number is 24 therefore your answer is C

The sum of 15 and p is equal to 27.

Write the equation that represents the description.

Answers

15 + p = 27 is the answer!

Please help!!! Rachael deposits $1,500 into a retirement fund each year. The fund earns 8.2% annual interest, compounded monthly. If she opened her account when she was 19 years old, how much will she have by the time she is 55? How much of that amount will be interest earned?

Answers

Answer:$82,500

Step-by-step explanation:

find the perimeter of following figure. 2 yd ,2yd ,5yd and 4 yd.

Answers

Answer:

13yd

Step-by-step explanation:

Perimeter is all the side lengths added

the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence

Answers

Given:

In an arithmetic sequence,

[tex]a_1=2[/tex]

[tex]a_i=a_{i-1}-3[/tex]

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

[tex]a_i=a_{i-1}+d[/tex]         ...(i)

Where, d is the common difference.

We have,

[tex]a_i=a_{i-1}-3[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]d=-3[/tex]

The sum of first i terms of an arithmetic sequence is:

[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]

Putting [tex]i=335,a=2,d=-3[/tex], we get

[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]

[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]

[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]

[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]

On further simplification, we get

[tex]S_{335}=335\times (-499)[/tex]

[tex]S_{335}=-167165[/tex]

Therefore, the sum of the first 335 terms in the given sequence is -167165.

write the fraction 4/9 as an equivalent fraction with the given denominator 45​

Answers

Answer:

answer is in the picture

This my lil sis work help her

Answers

Answer:

Option D is your answer

answer:

d

step-by-step explanation:

here i will show you how to convert the improper fraction 18/15 to a mixed number (aka mixed fraction). we start by setting up the fraction below.

[tex]\frac{18}{15}[/tex]

step 1 - find the whole number

calculate out how many times the denominator goes into the numerator. to do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

step 2 - find the new numerator

multiply the answer from step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

step 3 - put it together

keep the original denominator and use the answers from step 1 and step 2 to get this:

 

1 [tex]\frac{3}{15}[/tex]

good luck :)

i hope this helps

have a nice day !

In this fraction, which number is the denominator? 1/15


A.
1

B.
15

Answers

Answer: B. 15

Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.

5x−9≥11

Select one:

x≤−4

x≥4

x≤4

x≥−4

Answers

Answer:

[tex]x \geqslant 4[/tex]

Step-by-step explanation:

1) Add 9 to both sides.

[tex]5x \geqslant 11 + 9[/tex]

2) Simplify 11 + 9 to 20.

[tex]5x \geqslant 20[/tex]

3) Divide both sides by 5.

[tex]x \geqslant \frac{20}{5} [/tex]

4) Simplify 20/5 to 4.

[tex]x \geqslant 4[/tex]

Thus, the answer is Option B.

5x−9 ≥ 11

5x ≥ 11 + 9

5x ≥ 20

x ≥ 20/5

x ≥ 4

Done.

This problem uses the statistical postulate to address diffusion. Consider eight particles, 4 black and 4 white. The particles are in a liquid with two halves separated by a permeable membrane, so each particle can be either on the left or the right of the membrane. According to the statistical postulate, every arrangement of the 8 particles is equally likely. Arrangements can be summarized according to which particles are on the left and which on the right, with the membrane represented by a vertical line |. Some possible arrangements are: BBBBWWWW, BWBW|BWBW, and WWW|BBW. How many different arrangements are there?

Answers

Answer:

There are 362,880 different arrangements.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

Arrangements of 8 particles, plus the membrane, for which there are 9 possible positivos.

How many different arrangements are there?

[tex]T = 9A_{8} = 9*8! = 362880[/tex]

There are 362,880 different arrangements.

Can someone please answer this question? It is from RSM. The first to answer will be marked brainliest

Answers

Answer:

16/20=0.8

Step-by-step explanation:

hope this helps

Answer:

I think it's the second one

what is the volume of a rectangular prism wi the the dimensions base 5/8 cm, height 2/3 cm, and length 3/4 cm?

Answers

Answer:

5/16 cm³

Step-by-step explanation:

Given that:

Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cm

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

5/16 cm³

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

PLEASEEEEEEE HELP ME! WILL GIVE 20 POINTS AND BRAINLIEST

Answers

Answer:

a - 50/100

b - 9/4

c - 27/8

Step-by-step explanation:

Scale: 50/100

Ratio: 36/16 = 18/8 = 9/4

Ratio: 216/64 = 108/32 = 54/16 = 27/8

The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation:

portion of square empty =  256 - 153.86 = 102.14cm^2

Write a detailed savings plan for Sookie to meet her goal ?

Answers

She should invest in the MFX stock market to increase her money value overtime

-4x - 18 = 46


need help​

Answers

Answer:

x=−16

Step-by-step explanation:

−4x−18=46

Add 18 to both sides

−4x−18+18=46+18

−4x=64

Divide both sides by -4

-4x/4=64/-4

x=−16

Answer:

x=    -16

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x − 18 = 46

Step 1: Add 18 to both sides.

−4x − 18 + 18 = 46 + 18

−4x = 64

Step 2: Divide both sides by -4.

−4x / −4  =  64  / -4

x=−16

Hope it helps T-T

Which is the graph of the line given below? *

y=2/3x-5​

Answers

To make this graph the first step is to look at the slope-intercept form

- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)

So, now you can find the y-intercept on the graph (-5) and make a dot there

Next, move right 3 and up 2 and repeat until you have enough points to make a line :)

graph below- hope this helps :)

Each question is worth 10 pts, I will do brainliest for the person who does both and follow pls help.
1. One scoop of ice cream weighs about 3 ounces. Last Thursday the ice-cream parlor used 18 pounds of ice cream. About how many scoops of ice cream were served last Thursday?

2. Doris's bill at the ice-cream parlor comes to $2.54. She realizes that she doesn't have any dollar bills, so she is paying with coins. She has 24 coins including quarters, dimes, nickels, and pennies. She has the same number of nickels as quarters and twice as many dimes as quarters. If she has 5 nickels, how many quarters, dimes, and pennies does she have?

Answers

Answer:

1. 6

2.

pennies = 9

nickels = 5

quaters = 5

dimes = 10

Step-by-step explanation:

1.

18/3 = 6

as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams

2.

5n

#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get

5n = 5q = 10d = 15 coins

24 - 15 = 9 pennies

pennies = 9

nickels = 5

quaters = 5

dimes = 10

find the area simplify your answer

Answers

Answer:

6x^2-8x-64

Step-by-step explanation:

the answer for solving a quadrilateral

is base times height

so the base is 2x-8 and the height is 3x+8

(2x-8)(3x+8)

expand

6x^2-8x-64

Hope that helps :)

Please give brainliest

What percent of 125 is 90? Write your answers in the blanks.

Answers

Answer:

72

Step-by-step explanation:

Answer:

The percent of 125 to give 90 is 72%

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.​

Answers

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26


Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
A. {penguin, robin, sparrow, pelican, bat)
OB. {robin, sparrow, pelican}
O C. (penguin, robin, sparrow, pelican}
O D. (robin, sparrow, pelican, bat)

Answers

Answer:

B. {robin, sparrow, pelican}

Step-by-step explanation:

hope it helps you...

The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Let event A = The animal is a bird

Let event B = The animal can fly.

Hence, We get;

The outcomes are in A and B in which animal is a bird and also can fly.

Thus, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Hence, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Other Questions
simplifly the expression 5^-4x5^2 Transcribe the following piece of DNA ........AAG-CCA-TGA-ACA Please Help! Unit 8: Right Triangles & Trigonometry Homework 7: Law of Sines Based on the experiences of Anthony and Mercedes, what advice would you give to a new student at your school? 2. Food, clothing and education were provided to former slaves by the plsss help ill give brainliest if you give a correct answer what expression best estimates -18 1/4 2 2/3a. 183b. -183c. -18(-3)d. 18(-3) I NEEEDDD HELPPPPPPP Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive Warm up: Why do you think you get the school day off for Labor day (first weekend inSeptember)? Isabel baked 2 dozen oatmeal cookies for her family. If two-thirds of the cookies were oatmeal, how many total cookies did Isabel bake? James, Reed, Spencer and Larry have 912 cups of trail mix for their hike. If they each eat the same amount of trail mix, how many cups will each person eat? explanation ASAP please. Geometry!! Will give brainliest A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?Please explain Name two objects or products you use that likelycontain micro-organisms. What Asian physical feature is represented by #4?AIranian PlateauBDeccan PlateauCTibetan PlateauDCaucus Mountains Natalie uses a 15\%15% off coupon when she buys a camera. The original price of the camera is \$ 45.00$45.00. How much money does Natalie save by using the coupon? Areas where foreign nations control trade and natural resources is best described as _________.a. anti-imperialismb. isolationismc. spheres of influenced. subsidy economics Evaluate f(x)=5x8 when x=3,0, and 4 PLS ANSWER FAST :D