2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades

Answers

Answer 1

Answer:

The answer is "0.00842".

Step-by-step explanation:

Due to these cards, a conventional 52-card set is dealt one at a time.

While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.

Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].

The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex]  probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]

Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex]  then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]

The chances of five cards being drawn (three spades and two spades),

[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]

Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]

[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]


Related Questions

150 round 2 decimal places

Answers

Answer:

[tex]150 = 150.00[/tex]

An expression is shown. Which one of the expressions below is equivalent?

Answers

Answer:

C

Step-by-step explanation:

What is the area of the following picture ( HELP PLEASE )

Answers

Answer:

area=l*b

10*8

80#

Step-by-step explanation:

hope you like it

Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0

Answers

Answer:earthy

Step-by-step explanation:vuinh

write an equivalent expression: −12(−2x+4y)

Answers

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

If p is directly proportional to q, and p = 40 when q = 15, find q when p = 64

Answers

40/15=64/q
The answer is q=24

(Click on the picture to see question) please help me!

Answers

Hi there! Using one of the logarithmic property below:

[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]

From the equation:

[tex] \large{ log_{2}(y) = x + 7}[/tex]

Therefore,

[tex] \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }[/tex]

Answer

y = 2^(x+7) the second choice.

Identify the unlike terms in the expression:
3a + 11b + 30 + 4a + 3b

Answers

30 is the unlike term cause it doesn’t have a variable match like the others i don’t know if I did it wrong I’m sorry

Answer: 7a+14b+30

How to:  Combine like terms

Have a great day and stay safe ! sorry if im wrong

What is the equation of the curve that best fits the data? Round to the nearest hundredths, when appropriate. picture*​

Answers

Answer:

.....

Step-by-step explanation:

Up and down

The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.

Answers

y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning

Melissa has two coupons for shoes. Coupon A: Coupon B: 15% off of S41 shoes $10 rebate on S41 shoes Choose the coupon that gives the lower price. Then fill in the blank with the correct value.​

Answers

Answer:22

Step-by-step explanation:

The complete sentence is

The price with coupon B is $10 less than the price with coupon A.

It depends on the original price of the S41 shoes.

Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.

Let's assume the original price of the S41 shoes is P dollars.

Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.

Using Coupon B, the price after the $10 rebate =  (P - $10) dollars.

Now, compare (0.85 * P) with (P - $10).

simplify the expression (0.85 * P) < (P - $10) as

0.85P < P - $10

0.85P - P < - $10

-0.15P < - $10

P > (- $10) / (-0.15)  

P > $66.67

Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

What is the value of -(-9)?
Explain your reasoning.

Answers

Answer:

-(-9) is 9

Step-by-step explanation:

-(-9)

(when there are two negatives multiplyed with eachother, the product will be postive)

+ 9

+ 9  = 9

- ( - 9 ) =

( - 1 ) × ( - 1 × 9 ) =

( - 1 ) × ( - 1 ) × ( 9 ) =

( + 1 ) × 9 =

1 × 9 =

9

Part A: Students from 4 towns attend a conference. Each town is assigned a number from 1 to 4. Drag yes or no next to the first sentence.
Yes or No

A number is drawn and replaced 6 times. Is this a fair way to pick 6 members to give each town representation? __________

Part B: What is the probability that Town 1 will have at least 1 representative after 6 number draws, to the nearest percent?

probability = __________ %

Answers

Answer:

Part A - No

Part B - 100 %

Step-by-step explanation:

Part A.

This is because, a fair chance requires that each member has the same probability of being picked.

Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.

Part B

The probability of at least 1 representative after 6 number draws is P(at least 1)  = 1 - P(none from Town 1)

P(none from town 1) = 0

P(at least 1)  = 1 - P(none from Town 1)

P(at least 1)  = 1 - 0 = 1

In percentage 1 × 100 % = 100 %

The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?

Answers

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672

.....................​

Answers

Answer:

Final volume, V2 = 8.57 liters

Step-by-step explanation:

Given the following data;

Initial volume, V1 = 7.7 liters

Initial pressure, P1 = 6.9 atm

Final pressure, P2 = 6.2 atm

To find the new volume V2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

[tex] PV = K[/tex]

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

Substituting into the equation, we have;

[tex] 6.9 * 7.7 = 6.2*V_{2} [/tex]

[tex] 53.13 = 6.2V_{2} [/tex]

[tex] V_{2} = \frac {53.13}{6.2}[/tex]

[tex] V_{2} = 8.57 [/tex]

Final volume, V2 = 8.57 liters

Therefore, the new volume is 8.57 liters.

Answer:

just greeting so that the other one can get a brainliest (would be kind if the favor would be returned :D )

HELP ME WITH THIS PLEASEEEEE? IM STUGGLING

Answers

Answer:

(x-5)(x+5)

Step-by-step explanation:

x^2 -25

We can rewrite this as the difference of squares

x^2 - 5^2

(x-5)(x+5)

maths question is here
9+92*12312

Answers

Answer:

it would be 101 i believe

Answer:

1,132,713

Step-by-step explanation:

9+ 92 * 12312

= 9 + 1,132,704

= 1,132,713

I need the answer. Please help.

Answers

Answer:  1.8

===========================================================

Work Shown:

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(61) = AC/1

tan(61) = AC

AC = tan(61)

AC = 1.80404775527142

AC = 1.8

The river is about 1.8 miles wide between points A and C.

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.

Which of the following are statistical questions? Select all that apply.
A.
How many goals does a high school soccer team score in each game?
B.
How long does it take a high school student to run a mile?
C.
What is the world record for the fastest time to run 1 mile?
D.
How many runs did the Georgetown Giraffes baseball team score last night?

Answers

Answer:

I think A and B

Step-by-step explanation:

• A statistical question is a question that has more than one possible answer ( and can be answered by collecting data) where there will be variability in the data. for instance an example would be " How old are the students in this room?"

• However a non statical question has only one answer for instance "How old are you?"

both a and b dont have specific answers because it's not talking about a specific high school students or a specific soccer team. i would guess those are correct, but using the information from above you can also see what you think! hope this helps :)

The correct answer would be all the answers . Statistics is data/numbers of recorded results . All four choices can be statistical data

An engine runs for 3.2 hours. How many seconds did it run?​

Answers

Answer:

11520 seconds

Step-by-step explanation:

3.2 x 60= 192 minutes

192 x 60= 11520 seconds

Antonio is planning a birthday party for his daughter. SkateWorld charges a flat fee of $50 plus $3 per child. Roller Land charges $5 per child. If Antonio's daughter wants to invite 21 friends from school and five friends from her basketball team, which rink should Antonio use and how much would he save by doing so?​

Answers

Answer:

skateworld

Step-by-step explanation:

26x3+50=128 aka skate worlds price

26x5=130 aka roller land price

Antionio should use skateworld and he would save 2$

Answer: SkateWorld. He saves $2

Step-by-step explanation:

SkateWorld:

21 *3 =63

5*3=15

63+15=78

78+50= 128

Roller Land:

21*5= 105

5*5=25

105+25=130

130-128= 2

Handrail should be mounted 34 inches minimum and 38 inches maximum above ramps. Which inequality represents the required height?

Answers

Answer:

[tex]34 \leq x \leq 38[/tex]

Step-by-step explanation:

34 inches minimum

This means that x has to be at least 34, that is:

[tex]x \geq 34[/tex]

38 inches maximum

This means that x can be at most 38, that is:

[tex]x \leq 38[/tex]

Which inequality represents the required height?

The intersection of 34 minimum and 38 maximum is:

[tex]34 \leq x \leq 38[/tex]

Find the integration of (1-cos2x)/(1+cos2x)

Answers

Given:

The expression is:

[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]

To find:

The integration of the given expression.

Solution:

We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].

Let us consider,

[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]

[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex]         [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]

[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]

[tex]I=\int \tan^2xdx[/tex]                      [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]

It can be written as:

[tex]I=\int (\sec^2x-1)dx[/tex]             [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]

[tex]I=\int \sec^2xdx-\int 1dx[/tex]

[tex]I=\tan x-x+C[/tex]

Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].

The midpoint of the coordinates (9, 11) and (7,8) is​

Answers

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

Evaluate the following
6!

Answers

Answer:

Mind showing a picture?

Thank you!

Grandma Marlene and Grandpa Gary are putting holiday lights on the gutters of their house. Grandma Marlene leans a 16-foot ladder up against the house, which makes the base of the ladder 9 feet from the house. How far up the house is the ladder?

Answers

Answer: 48

Step-by-step explanation: if i did the math correct 1/3 times the base (9) times 16 is 48. the formula is 1/3 x Bh

Juan drank 3 quarts of water. Alfred drank 8 quarts. How many cups of water did they drink altogether?(no links will get brainliest)

Answers

Answer: 44 Us Cups

Step-by-step explanation:

29x-7y=-17 solve for x

Answers

Answer:

[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]

Step-by-step explanation:

[tex]29x-7y=-17[/tex]

[tex]x= -7y/29 + -17/29[/tex]  Divide every number by x except

Plz help me well mark brainliest if correct.......????

Answers

Answer:

D

Step-by-step explanation:

shows change over time

Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4

Answers

Answer:

A.5+4<9+1

B. 5+4<10+0

C. 5+4>5-4

D. 5+4=15-4

Step-by-step explanation:

A. 9<10

B. 9<10

C. 9>1

D9=9

Answer:

A=10>5+4

B=10>5+4

C=1<5+4

D=11>5+4

Step-by-step explanation:

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