If Albert Enstein has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark. How many socks must he take out to make 100 percent certain he has at least one pair of black socks?

Answers

Answer 1

Answer:

6  socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

12/24

and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:

11/23

the final probability is the multiplication of these events:

(12/24) * (11/23)

P = 0.24

Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

So you must take out at least 6 socks for the above to happen.

Answer 2

the number of socks  Albert Enstein has to take out to be sure that he has at least one pair of black socks is 38.

In order to determine the number of socks  Albert Enstein has to take out to be sure that he has at least one pair of black socks, we would have to add the number of blue socks with the number of red socks.

Number of socks to be taken out = number of blue socks + number of red socks

21 + 17 = 38 socks

To learn more about addition, please check: https://brainly.com/question/349488


Related Questions

Is true artificial intelligence possible? Write a short essay and explain your opinion.

Answers

KSKSKSKSKSKSKSKSSKSKSK

if giselle had five books sets and gave 9 books away and has 26 left how many were in the bookset

Answers

Answer:

7 in each book set

Step-by-step explanation:

26+9= 35 (total # of books)

35/5= 7 ( # of books in a book set)

26 + 9 = 35
35 / 5 = 7
So the answer is 7 books per book set!
Hope it helps

HELP 2 questions answer both

Answers

Answer:

n=4x(-12.4)

n=-4x12.4

n=-49.6

Multiply both sides of the equation by

Step-by-step explanation:

Answer:

n=-49.6.Multiple by -12.4

PLEASE HELP!! I'LL GIVE BRAINLEST!!

Use the formula P = 2l + 2w. Find the perimeter of a rectangle with a length of 12.9 ft and a width of 19.3 ft. Show all of your work.

Answers

p = 2(12.9) + 2(19.3)
P = 25.8 + 38.6
P = 64.4

The spinner is spun 240 times. What is a reasonable prediction
of it landing on a number less than 3?

Answers

Answer:

60 times

Step-by-step explanation:

2/8 pieces of the circle are less than three

2/8 = 25% chance of landing less than 3

240 * 25% = 60

46+ 2/7w
w= -1/2
You don't need to show your work

Answers

46.1428 or -46(3/14)

2 2/5 multiplied by 2 multiplied by 3 1/5

Answers

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

=

c

ac+b

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

×2×3

5

1

2 Simplify  2\times 52×5  to  1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

×2×3

5

1

3 Simplify  10+210+2  to  1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

×2×3

5

1

4 Convert 3\frac{1}{5}3

5

1

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

=

c

ac+b

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

×2×

5

3×5+1

5 Simplify  3\times 53×5  to  1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

×2×

5

15+1

6 Simplify  15+115+1  to  1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

×2×

5

16

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

8 Simplify  12\times 212×2  to  2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

9 Simplify  24\times 1624×16  to  384384.

\frac{384}{5\times 5}

5×5

384

10 Simplify  5\times 55×5  to  2525.

\frac{384}{25}

25

384

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

2 2/5 times 2 times 3 1/5= 24/25

Use substitution to find the ordered pair of the following system of equations:

y=6x
y=5x+7
(_,_)

Answers

Answer:

first substitute 'y' in 2nd equation by right side of 1st one and you get:

now substract 5x from both sides of 2nd equal and you get:

as a result of the equal above you get:

now substitute x in very first equation by the result from above (x=7):

Step-by-step explanation:

sorry if its wrong

6x = 5x + 7
-5x -5x
——————
x = 7
y = 6x
y = 6(7) = 42

Your answer: (7, 42)

Jada's brother drives 18 miles to work and then a quarter of that distance again. How far does Jada's brother drive?

Answers

18+4.5

A quarter of eighteen is 4.5

Δ MNO ~ Δ PQR


What is the length of x?


1 4/5


1 7/9


1 3/5


2 1/2



IF U STEAL POINTS U GET REPORTED

Answers

The value of x in the given triangle is  [tex]1\frac{3}{5}[/tex]

What are the similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths.

Given that, two triangles are similar, Δ MNO ~ Δ PQR,

According to definition of similar triangles,

PR/MO = QP/NM

x/4 = 2/5

x = 8/5

x = [tex]1\frac{3}{5}[/tex]

Hence, the value of x in the given triangle is  [tex]1\frac{3}{5}[/tex]

Learn more about similar triangles, click;

https://brainly.com/question/29731302

#SPJ2

Hello, I would really like some help on this!! Please leave an explanation of how you got your answer! Thank You!

Answers

1a) To find the total area, you must find the area of the triangular part that is missing, then subtract this from the area of the rectangle. For the triangle’s area, you need to know the width (2m) and length (2m). For the rectangle’s area you need to know the width (3m) and length (4m).
1b) the total area is 10m^2 (10 meters squared). This is found by subtracting the triangle (.5x2x2=2) from the rectangle (3x4=12).
I don’t know how to answer this question sorry. I’m just answering so the other person can get brainliest.

on the left side of the triangle, it says 10 cm, on the right side of the triangle, it says 18 cm, below the triangle, it says 15 cm. find the area of the triangle and answer this question is square cm.

Answers

Area formula for a triangle is 1/2BxH

B=15
H=10

1/2(15)= 7.5

7.5 x 10= 75

So the area is 75 square cm :)

pls help me with thissssss

Answers

divide the two numerators and get 3.25 multiply 13 hours by that and the answer to the first part is 42.25
yes that’s very true

pls someone plsss help meeeee

Answers

Answer:

student a answered correctly

Step-by-step explanation:

student b didn't multiply the crossproducts

Answer:

Student B has the correct answer

Between the two proportions you are looking for number which are related in the same way.

When dividing 45 by 15 you get 3, you should also get 3 when dividing the proportion next to it.

To Solve-

Cross multiply 6 x 15 =90

Then divide by 45

The correct answer is 2

can someone help me out :P

Answers

-5.2<.-4.75<-9/2.....

What is the area of `∆STR`?

A.
30 square feet
B.
34.5 square feet
C.
57.5 square feet
D.
60 square feet



Here another one T^T

Answers

i believe the answer is A i
It’s A I took the test

HELP I will give Brainliest If Correct!! (Please Explain)

Answers

You need to write this is scientific form.

In this case it’s: 0.4 * 10^11
3.8 × 10^10 you have to round the number

Which expression is equivalent to 3d - d + 4 + d

A. 4d + 4
B. 4d - 4
C. 3d - 4
D. 3d + 4​

Answers

Answer:

b

Step-by-step explanation:

D

Explanation: 3d - d + 4 + d
Collect like terms
3d - d + d + 4
- d + d = 0
Answer = 3d + 4

Will award brainliest

Answers

Infinite solution Bc both sides are equal

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Answers

270 because 120/24 = 5 5x54 = 270
I agree with the first person

what is 3(x + 3) equal to

Answers

3x + 9 if you don’t know what x equals.

Answer:

3x+9

Step-by-step explanation:

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Answers

Answer:-18x^5y^{6z+2}

Step-by-step explanation:

dont feel like explaining

An equation is shown. What is the value of 12x that makes the equation true?


12x + 4x = 15/2 + 4x

pls halp

Answers

Answer:

x = 5/8

Step-by-step explanation:

After a power failure, the temperature in a freezer Increased at an average rate of 3.5 °F per hour. The total Increase was 24.5 °F. Enter and solve an equation to find the number of hours until the power was restored. Let x represent the number of hours it takes for the temperature to increase to 24.5 °F.


The equation to find the number of hours until the power was restored is ____x = _____


The number of hours until the power was restored is ______ hours.

<Please fill in the blanks I will give you brainliest if you answer correctly>​

Answers

Answer:

3.5x=24.5

3.5x7=24.5

X=7

Step-by-step explanation:

3.5 times what equals 24.5

3.5x1=3.5

3.5x2=7

3.5x3=10.5

Keep doing this and increase the number you are multiplying 3.5 by until your answer is 24.5.

round 0.615 to the nearest Hundreth pLEASEEEE HSLPPPP

Answers

Answer:

0.62 is the answer

Step-by-step explanation:

Answer:

0.62

Hope this helped have a great day

Find the sales tax....

Answers

Answer:8.75

Step-by-step explanation:

Which expression is equivalent to 4s + 3 - 3 - s

A. 3s + 6
B. 4s + 0
C. 3s
D. 3s + 1​

Answers

Answer:

C. 3s

Step-by-step explanation:

(repost) Help Please!! I will give Brainliest!!

Answers

3x10^10 cubic feet if you need the work let me know
3x10^10 is the correct answer

Can you hep me with this question...

Answers

Answer:

so like I just looked it up so try

-4

----

-4

Answer:

10/27

Step-by-step explanation:

To figure this out, first subtract 8/15 from 6/5.

Before we can do that though, we need a common denominator. The LCM of 5 and 15 is 15. (5 * 3 = 15; 15 * 1 = 15) 8/15 already has 15 has a denominator, so that doesn't need to be modified. 6/5 becomes 18/15 (6 * 3 = 18).

Subtract 8/15 from 18/15 to get 10/15. This simplifies to 2/3.

Now, multiply 2/3 by 5/9 (reciprocal of 9/5). That equals 10/27. There is no need to reduce, as it is already simplified.

The spinner is spun 48 times. What is a reasonable prediction of landing on the letter E?

Answers

Answer:

because that is the right amount of times you spun it

Step-by-step explanation:

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