An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven

Answers

Answer 1

Answer:

a) The probability of getting a seven is 4/52

b) At least one of the cards is a seven=0.2813

c) The probability that none of them are seven=  0.7187

d) The probability that two out the four cards is a seven= 0.043

Step-by-step explanation:

A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.

a) The probability of getting a seven is 4/52=0.0769

b) At least one of the cards is a seven=

1- P(no seven)

= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813

c) The probability that none of them are seven=4C0 * 48C4/ 52C4=  0.7187

d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven

= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043


Related Questions

Which phrase should be inserted in the line to make a true statement? 2/3 is _____ 8/12 A. Is greater than B. Less than C. Cannot be compared.D.is equal to (HELP I NEED THIS HURRYY PLSSSS)

Answers

Answer:

the answer is equal because 8/12=2/3 so 2/3=8/12 (2/3)

Step-by-step explanation:

Write the name of the
period that has the
digits 913.

Answers

the answer is the thousands group . its the way they word the problem that complicates it . 913,256 256 being the ones group 913 being the thousands group . so the name of the period with 913 , is the thousands group .
It’s kinda in between, but I’ll say the thousands since it’s rlly close.

If your exponent on your power 10 is positive, is your number larger or smaller than 10?

Answers

Answer:

See below.

Step-by-step explanation:

The number maybe less than 10, equal to 10, or larger than 10.

Examples:

A.

exponent: 1/2

10^(1/2) = sqrt(10)           (less than 10)

B.

exponent: 1

10^1 = 10                  (equal to 10)

C.

exponent: 2

10^2 = 10 * 10 = 100          (larger than 10)

Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

Brian will have 258564 pennies after 7 years

jim's bookshelf has 24 inches remain in. each of his notebooks is 3/4 inches wide. how many notebooks will fit in the remaining space

Answers

Answer:

32 notebooks will fit.

Step-by-step explanation:

30x^3y – 45x²y2 + 135x y3

Answers

Answer: 15xy(2x^2-3)


In a survey of 18 college students, it was found that 11 were taking an
English class, 6 were taking a math class, and 4 were taking both
English and math. How many students were taking a math class only?
A.7
B.11
C.2
D.5

Answers

Answer:

C.)2

Step-by-step explanation:

6-4=2

Answer:

I am choosing C ok it close to correct

In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a
dog and a cat. How many children had neither a dog nor a cat as a pet?
A.37 B.19 C.12 D.31

Answers

Answer: the answer would be 7 because:

Step-by-step explanation:

you have to add 22, 18, and 6 to each other.

22+18=40+6=46

Then you subtract 46 from 53.

53-46=7

12x+12=13x−12 how many sultions

Answers

.....................................................................................................................................................................................................................................................................

What is the value of the digit 5 in the number 4.105

Answers

Answer:

thousanths place

Step-by-step explanation:

Answer:

4.105

5-hundredths place if I’m correct

Which point on the graph could represent the ratio of 2 white flowers for every 3 pink flowers that will be in one row of Molly’s garden?

Answers

Answer: It’s B

Step-by-step explanation:

I just did the quiz

Answer:

The answer would be B

Step-by-step explanation:

take a look at your question.

If you look at the x axis you can see that it is 12 but c is also that.

Now take a look at the y axis, you can see that the letter B is connected to 18.

If you remember your previous problems you would remember that that was an answer (12, 18). But for those who do not remember you can multiply 2x6(which you got your 12 from) and 3x6 ( which is where the 18 is from)

So there for you are left with the answer B.

Let me know if this helped!!! :))))

Simplify the expression: 7 + 24 / 6 * 10 *

Answers

Hi the answer is 47

Here is the step by step process

7+24/6*10

PEMDAS states that you do multiplication first but it matters if division or multiplication is first in the equation.

So based on the equation you would do division first.

You will have

7+4*10

Next you do multiplication

7+40

Your final answer is 47

Hope this helps! Have a great day!! :)

Answer:

47

Step-by-step explanation:

Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.

How fast will the train cover 290 miles if its speed is s miles per hour?

Answers

Answer:

290/s

Step-by-step explanation:

Basically, the question is asking you to find:

290/s miles per hour

The only problem is translating words to math.

Hope this helps!

Please help and do these asap no fake stuff please. Click on the paperclip to see problems

Answers

sorry, it's too blurry for me

Answer:

20 because that what I think

point a is at (-7,-9) and point b is at (6,3) what is the midpoint of line segment AB

Answers

Answer:

(-1/2,-3)

Step-by-step explanation:

(-7,-9) =x1, y1

(6,3) = x2, y2

now,

Mid point= x1+x2 /2 , y1+y2 /2

= -7+6 /2, -9+3 /2

= (-1/2 , -3)

ILL MARK BRAINLYIEST please help me. 60 points
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)

Answers

im pretty sure this is right. hope it helps :)

One-Half of a number increased by 6 is less than 34

Answers

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

Subtract 6 on both sides. ½ x < 28.Divide ½ on both sides. x < 56.

Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)

Answers

Answer: g(x)-f(x)=-x³-3x-3

Step-by-step explanation:

Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).

x-3-(x³+4x)           [distribute -1]

x-3-x³-4x              [combine like terms]

-3-x³-3x                 [rewrite]

-x³-3x-3

Now, we know that g(x)-f(x)=-x³-3x-3.

find the value of n?

p^3 times q^2 (p^4 times q^n times r^3/r^-4) = p^7 q^5 r^7

plz help asap

Answers

Answer:

n=q^2

Step-by-step explanation:

solve system

a = 5 - 2b; a +2b = 6

Answers

Answer:

This System has no solutions.

You want to get an idea of how much your children will benefit from the education system in a state. Which column of numbers will you use for your analysis? Why?

Answers

use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.

Step-by-step explanation:

Answer:

I'd use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.

-PLATO

2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

Answer:angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

Answer:

29 and 151

Step-by-step explanation:

One sample has a mean of M=7.2 and a second sample has a mean of M=12.8. The two sample are combined into a single set of scores. a. What is the mean for the combined set if both the samples have n=5? b. What is the mean for the combined set if the first sample has n=5 and the second sample had n=35?

Answers

Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  [tex]\frac{sum of scores}{number of samples}[/tex]

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]

                                                    = 242

Mrs. Quill wrote a check for $66 for 22 school lunches. What is the cost per lunch?
is this division?​

Answers

Answer:

Yes it is division

Step-by-step explanation:

It should be 3

Answer: yes division

66÷22=$3 per lunch

Step-by-step explanation:

need a answer for all of them

Answers

(fill the answers in left from right in each line)

1. -20, -5, 10

2. -16, 0, 16, 32

3. -8, -6, -3

4. 0, 6, 18, 24

5. -12, 0, 16
1. -20 -5 10 for question 1

What degree is the polynomial function shown on the graph? A) third B) fourth C) fifth D) sixth

Answers

uhh where is the graph?

Answer:

Step-by-step explanation:

Are the following ratios equivalent?
$3 for 5 pages of stickers.
$15 for 19 pages of stickers.
Yes or no
Answer:

Answers

Answer:

no

Step-by-step explanation:

Question 3 Write each fraction as an equivalent fraction with the denominator 30. Then write the
original fractions in descending order
1/15, 5/6 , 7/10, 1/2

Answers

Answer: 5/6, 7/10, 1/2, 1/15

Step-by-step explanation:

5/6=25/30, 7/10=21/30, 1/2=15/30, 1/15=2/30

How many square inches are in 60 square feet?

Answers

Answer:

8640

Step-by-step explanation:

Answer:

8640

There is 8640 square inches in 60 square feet.

The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor.

Answers

Answer:

See Explanation

Step-by-step explanation:

Let the temperatures of Miami and Bangor be M and B degrees respectively.

According to the given information:

M = 3B + 22... (required equation)

Plug M = 82

82 = 3B + 22

82 - 22 = 3B

60 = 3B

B = 60/3

B = 20 degrees

Thus, the temperature in Bangor is 20 degrees.

The required temperature in Bangor is 52 degrees and the required equation is 82 = 3B + - 22.

Given that,
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine.
The temperature in Miami is 82 degrees.
An equation to determine the temperature in Bangor is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the temperature in Bangor be B
The temperature in Miami is 82 degrees.
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor. Implies,

82 = 3B + - 22
3B = 82 + 22
3B = 104
B = 52 degrees

Thus, the required temperature in Bangor is 52 degrees.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

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