A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.​

Answers

Answer 1

Answer:

The probability of the given scenario occuring is about 0.0153.

Step-by-step explanation:

A standard deck contains 52 cards.

We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.

So, the probability that the first card is a spade is 13/52 or simply 1/4.

Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.

This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.

Now that we've drawn two cards without replacing them, the total number of cards left is 50.

And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.

Then the probability of the third card being hearts will be 12/50 or 6/25.

Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:

[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]

The probability of the given scenario occuring is about 0.0153.


Related Questions

What is mfg angle 130 90 80
fg =

Answers

Answer:

arc FG = 60°

Step-by-step explanation:

arc FG = 360 - 130 - 90 - 80 = 60°

Answer:

FG would be 60 Degrees

Step-by-step explanation:

A circle is equivelent to 360 degrees

Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?

Answers

Answer:

18 OZ is better$1.75 to buy

What is the value of 3n2 − 4m ÷ 6 when n= 4 and m= 18?


Plz, help me!

Answers

Answer:

36

Step-by-step explanation:

3*4^(2) - (4*18)/(6)

Answer:

-4is the answer of this question

Step-by-step explanation:

=3*42-4*18

=-4

a trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 80 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 100 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 6800 lb. Moreover, he is not permitted to carry more crates of grapefruit than crates of oranges. If his profit is $2.50 on each crate of oranges and $4 on each crate of grapefruit, how many crates of each fruit should he carry for maximum profit

Answers

answer = 560 profited

Find the area of the figure to the nearest hundredth.

Answers

Step-by-step explanation:

We have 2 Semicircular. area of each one :

[tex]\pi \: \times \: r[/tex]

r = 2.5ft and pi=~3 ==> 7.5×2=15ft (area of two Semicircular)

the area of triangle = 5 + 5 + 6 = 16ft

area of the figure = 16 + 15 = 31ft

What is the value of y in (1/2)x + 3 = (1/3)y - 2 if x = 28/3?

Answers

Answer:

y = 29

Step-by-step explanation:

x/2 + 3 = y/3 - 2

28/3 ÷ 2 = 14/3

14/3 + 9/3 = y/3 - 6/3

23/3 + 6/3 = y/3

29/3 = y/3  ∴ y = 29

factor 6x^4+42x^2+12

Answers

Answer: 6(x^(4)+7x^(2)+2)

Step-by-step explanation: Factor 6 out of 6x^(4)+42x^(2) +12

brainliest or a thank you please :)) <33

Bob Nale is the owner of Nale's Gas Station. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. He assumes a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. What is the z-statistic for a 99% confidence interval for the population mean.

Answers

Answer:

The z-statistic for a 99% confidence interval for the population mean is 2.575.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

The z-statistic for a 99% confidence interval for the population mean is 2.575.

b bananas cost $1.45 and a apples cost $2.35.
(a) How much does one banana cost?
(b) How much does one apple cost?
(c) Write as a single fraction the cost of one
banana and one
apple.​

Answers

The required one banana cost, one apple cost, and a single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

There is b number of bananas and a number of apples.
The cost of total bananas and apples is $1.45 and $2.35.

(a) Cost of one banana is,
       For b bananas = $1.45
              dividing both side by b
             b/b bananas = $1.45/b
              1 banana = $1.45/b

(b) Cost of one apple is,

For a apples = $2.35
dividing both side by a
         a/a = $2.35/a
      1 apple = $2.35/a

(c) Single fraction is given by = cost of one banana/ cost of one apple
                                                =    (1.25/b) / (2.35/a)
                                                =   0.54* a/b

Thus the required one banana cost, one apple cost and single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.


Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ5

solve for x. need help pls

Answers

Wouldnt x be 20? Sorry if I’m wrong :(

The variable k represents a value in the set {-2-4-6-8}. which value of k makes 4 (1.5-k)-10=56/2 a true statement A.-2 B. -4 C. -6 D.-8

Answers

Question: The variable k represents a value in the set {-2,-4,-6,-8}. Which value of k make 4(1.5-k)-10=56/2 a true statement?

Step-by-step explanation:

https://brainly.com/question/23369106

Which survey question is unbiased?
O A. "Do you think we should allow them to cut down the trees and pave over the grass for the new playground?"
B. "Which do you prefer with a meal-water, or a syrupy sweet soft drink?"
C. "Should there be a school dress code?"
D. "Do you prefer bringing a healthy lunch to school or eating cafeteria food?"

Answers

Answer:

Should be a dress code i hope this helps god bless you all

Step-by-step explanation:

The radius of a circle is 9 feet. What is the circle's area?

Answers

The area of the circle is about 254.34



The formula to find the area of a circle is A = (r • r) • pi

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Lesson 5.16 - Problem Solving with Mixed Numbers (D)
QULZ
Menu
Problem Solving with Mixed Numbers
Jada made 3 1/6gallons of lemonade. Jada served 5/6
gallon to her friends.
How much lemonade does Jada have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.


Answers

Answer:

Try Reasearching it! I hope you have a fantastic day/night ;-;

Step-by-step explanation:

This is the answer of the volume of a prism A is 60 cubic units, and the volume of prism B is half the volume of the prism and the value of a is 2.5

Answers

Answer:

.....................................2....................

Step-by-step explanation:

Can Someone Help REAL QUICK Me. ? Please

Answers

Answer: Option 3

Step-by-step explanation:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

I hope this helps.

Please help me fast.
Question 1 (4 points)

(07.07 LC)

A cheetah runs at a speed of 50 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t? (1 point)


a

t = 50d


b

d = 50 + t


c

d = 50t


d

t = 50 + d

Answers

Answer:

d/t=speed

Step-by-step explanation:

Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which Statement best compares how far the two cars can travel in an hour?

Answers

Car A: 18/20(60)=54 mph

Car B: 13/12(60) = 65 mph

So car b travels 11 more miles than car a in one hour

Help please I’m so behind

Answers

Answer: 5 and 27 as remainder

Step-by-step explanation:

LOL somebody reported my question lol anyways help what is 43/09.7

Answers

Answer: 4.432990

Step-by-step explanation:

Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60

Answers

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

What is the product?
(-20+5)502-68)
0-100 + 17025-652
0 -100A + 17^52-652
-100A-70225-652
0 -100A +17028+682

Answers

Well I got 10d^4 - 7d^2s - 6s^2

Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .

Answers

Step-by-step explanation:

I hope you like my answer. Thanks.

The area of the rectangle below is 18 square units. What is the width of the rectangle? if the length is 3 3/4

Answers

Answer:

5.76 units

Step-by-step explanation:

3 3/4= 3.125

18÷3.125=5.76

Sorry if I'm wrong.

Please mark me as Brainliest.

Anyone who know what the answer please?

Answers

Answer:

59

Step-by-step explanation:

180-60-61= 59

hope this helps

Answer:

59 degrees

Step-by-step explanation:

It says the answer in the question.

The angles add up to 180 degrees.

60 + 61 = 121 degrees

180 - 121 = 59 degrees

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

A). The ratio of a circle's circumference to its diameter

Step-by-step explanation:

It’s A) The ratio of a circles circumference to its diameter

Create a proportion from the given set of numbers: 3,6,7,14

Answers

Answer

3:6=7:14

Step-by-step explanation:

pls make me branliest

Find the volume of the cylinder. Use 3.14 for π.
Round your answers to the nearest tenth.

Answers

The volume is 621.72

Answer:

V≈565.4

Step-by-step explanation:

V=πr2h=π·32·20≈565.48668

What is the solution to
−12x≤−72

Answers

solution is x > 6
hope it helps

Here is the equation help

Answers

Answer: this might help I’m not sure

Step-by-step explanation:

Answer:

5m+3m=8m

simplified

Step-by-step explanation:

combine all m's together 5m's +3m's =8m's

(☆▽☆)

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