There are 20 black, 15 white, 12 green, 12 red, 9 blue and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?

Answers

Answer 1
Answer:  13

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

Explanation:

The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.

However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.

Consider the case of something like this sequence:

blackwhite greenredblueyellowblackwhitegreenredblueyellowblack

As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.

Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.

For more information, check out the Pigeonhole Principle.


Related Questions

\text{walmart sells 6oz bottle of laundry detergent for 4.80. what is the price per ounce

SHOW ME HOW YOU SOLVED IT!

Answers

Answer:

Wsg luh girl

Step-by-step explanation:

Help me please!! i beg

Answers

Eat the Legendry Fruit: And play King legcy

Step-by-step explanation:

70+2e+3e=180° answere me ​

Answers

Answer:

2e+3e=180-70

5e=110

e=110÷5

e=22

Which two numbers are 4 units from -2?

Answers

Answer:

-6 and 2

Step-by-step explanation:

look left and right on number line. count 4 places over going both ways

Please help me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]

Answers

Answer:

x = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]

in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:

1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]

cross-multiply to get:

[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]

x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]

x = [tex]\sqrt{3}[/tex]

guys pls help me!!!!!!

Answers

Answer:

x= 55

y=125

Step-by-step explanation:

y = 180 - 55

hope it's correct

Kết quả của phép tính : 2(x+1) là?

Answers

Answer:

2x + 2 is your using distributive property

Step-by-step explanation:

Answer:

2x +1 =))))

bạn mất gốc hả

what part of 63 is 18

Answers

Answer:

If you mean percent, its 350%

Answer:

1134

Step-by-step explanation:

1134/63=18

Multiply out and simplify:
(x-8) (x-7)

Answers

Answer:  x² - 15x + 56

Step-by-step explanation:

To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:

(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)

               = x² - 7x - 8x + 56

               = x² - 15x + 56

Answer: x^2-15x+56

Step-by-step explanation:

1-Distribute

x(x-7)-8(x-7)

2-Distribute

x^2-7x-8(x-7)

3-Distribute

x^2-7x-8x+56

4-Combine like terms

x^2-15x+56

please help I will make Brainliest if correct (show working)​

Answers

Answer:

I beleive X=2

Area is 24

Step-by-step explanation:

X=2 because the side with B has 4cm and on the other it has 6 but the 4 can be put into 6 and 6-4 is 2 if that made any sense

The area is 4 times 2= 8 and then 8 times 2 is 16

16+8=24

MITHUN'S UNCLE IN AMERICA HAD SENT HIM 10 USA DOLLARS AS A GIFT. MITHUN USED 350 RUPEES FOR A SCHOOL TRIP. HOW MUCH MONEY WAS LEFT WITH HIM?
PLEASE ANSWER FAST WILL MARK AS BRAINLIEST AND THI QUESTION IS OF 50 POINTS ​

Answers

Answer:

He had $47 left from the school trip

You buy a new notebook for school the notebook cost to buy or one dollar Martha comes to $3.46And the taxIs 6%How much of the percentWhat is the markupAnd whatIs your finalPrice for The notebook with tax

Answers

Answer:

AHHHH I LOVE YOUR PROFILE PICTURE GOKU IS THE BEST <3 :D

please help me :)

see image below

Answers

Answer:

x=6

Step-by-step explanation:

2x+5=17            

-5       -5    

2x=17-5

2x=12

x=6    

Answer:

2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D

Hello if you answer this question i will post another question giving 100 points

Answers

Answer:

ok?

Step-by-step explanation:

Brainliest?

Answer:

what's your question even-

A fishing boat radioed the Coast Guard for a helicopter to pick up a sick crew member. At the time of the message, the boat is 660 kilometers from the helicopter and heading toward it. The average speed of the boat is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the boat

Answers

The answer for this question is 6,000

10) y=-x-4 4 5 1514 -​

Answers

1/5 is the slope and we can use (-4,0) as a starting point.

Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.


An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.

Answers

Answer:

the second and last sentences.

Step-by-step explanation:

Its the most reasonable!

Answer:

It is accutally 1st 2nd and 3rd plz trust me

Step-by-step explanation:

it is the corect

which line is parallel to the line whose equation is 4x 3y = 7, and also passes through the point (- 5, 2)?

Answers

Answer:  [I assume:  "4x 3y = 7" is really 4x + 3y = 7]

y = -(4/3)x -14/3

Step-by-step explanation:

Rewrite this as y=mx+b, where m is the slope.  

4x + 3y = 7

3y = -4x +7

y = -(4/3)x +(7/3)

The slope is -(4/3)

A parallel line will have the same slope, but a specific value of b to allow it to go through the given point (-5,2):

y = -(4/3)x + b

Enter the point and solve for b:

2 = -(4/3)(-5) + b

2 = (20/3) + b

b = 2 - (20/3)

b = 6/3 - 20/3

b = -14/3

y = -(4/3)x -14/3

HELPPPP PLEASEEEE will give brainliest ​

Answers

Answer:

I think it's the 3rd or fourth one. I'm not positive tho

Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
10 gal/ minute
-10 gal/ minute
-12 gal/ minute
-15 gal/ minute

Answers

Answer:

-12 gal / min

Step-by-step explanation:

[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]

Which equation represents a line which is parallel to the y-axis?

Answers

Answer:

x= 3

Step-by-step explanation:

I hope this helps but if there are options lmk

Answer:x= -2

Step-by-step explanation:

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

[tex]204ft^{2}[/tex]

The Perimeter of the Parallelogram is:

[tex]64ft[/tex]

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have [tex]204ft^{2}[/tex].

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes [tex]64ft[/tex].

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

.The sum of the angles of a polygon is 900⁰ .How many sides does it have​

Answers

Answer:

heptagon

Step-by-step explanation:

State the domain and range of the following function.

Answers

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.

A 10 kg bag of potatoes costs $5. Write a formula for the cost of potatoes.

Answers

Answer:

10/5

Step-by-step explanation:

10 bags =5$

therefore one kg equals 10/5

From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's house. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?

Answers

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dan's house to Samuel's house is 4 km

Find out more at: https://brainly.com/question/21846482

Find the value of x

4(x+9) = 3 (x+11) -1

Answers

Answer:

Step-by-step explanation:

4(x+9)= 3(x+11)-1

=4x+36=3x+33-1

=4x+3x= 36+33-1

7x=68

x=9.7

x=10.

I NEED HELP PLEASE!!!!

Answers

Answer:

the answer is x=15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

since angles 84 and 5x + 9 are alternate interior angles they both are equal

i.e

5x +9 = 84

5x = 84 -9

5x = 75

x = 75/5

therefore x = 15

keep smiling

2tanx - 3cotx + 1 = 0

Answers

Answer:

475767u5yttuyy

Step-by-step explanation:

phobrovicodibfofiffivonf

how do you find common multiples and factors explain

Answers

Answer:

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Other Questions
What is the image point of (-5,-6) after the translation please help i dont know how to do this at all I need to do it within 1 hour will give brainliest. Complte avec le verbe tre ou avoir au prsent :Elle____ des jouets.Elle____petiteElle_____gentille. J_______ une belle gomme.Elle_____ rose.J_______ dans la classe.J________en France.J_____des amis.Paul______ mon ami.II_______de la chance.J_______en clin.Il_____dans son jardin.II_______grandElle____de lunettes. ayuda por favor I hope your day is going well. 3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25. He then walks 5 km to the hut at H and takes a second bearing, 345(a) Work out the angles in the triangle. Show it is a right angled triangle.(b) From the mountain at M, what is the bearing of the camp?(c) How far is it from the camp to the mountain?(d) Tim walks back to camp from the hut. What bearing does he follow? i need to find out what the answer to this math problem is. 7/8 divided by 1/6 help with this question 0.4(-0.03) plz help Write the equation of the line parallel to a line with the equation y = -6x+4 and passes through the point (-2, 6). What does Juliet threaten to do if she cannot get help from Friar Lawrence?A. Marry ParisB. Run awayC. DieD. Find a new counselor What is an equation of the line that passes through the point (-4,-6) and isperpendicular to the line 2c y = 6? in order to start a small business a student takes out a simple interest loan for $8,000 for 6 months at a rate of 6.25%, how much interest must the student pay and find the future value of the loan round to the nearest cent as needed What cross sections might you see when a plane intersects a cone that you would not see when a plane intersects a prism or a pyramid Help please, I need help checking these questions 1. Water aerobics is just another form of swimming laps.A. TrueB. False2. There are scientific studies that prove working out as a group can help improve quality of lifeA. TrueB. False3. A barre class focuses on:(I think its d)A. Strength, intervals, high intensity, and recoveryB. Water walking, bicep curls, and leg liftsC. Stepping up, around and down from a platform in different patterns D. Core strength, posture, coordination, and flexibility Help please, 25 points Factor the following polynomial x^2-9 Find the missing variable in the diagram below. what is the slope-intercept form of the liner equation 2x + 3y = 6? x, y, -6, -3, -1, [tex]\ - \frac{3}{2} [/tex][tex]\ - \frac{2}{3} [/tex]2, 3, 6, +, -, =, Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches. How much flour does Nate need to make his cookies? 5 7/12 cups 6 1/12cups 6 7/12 7 1/2cups - Equation Editor A set of curtains normallysells for $58.99. Roberta used a coupongood for 20% off the regular price. To thenearest cent, how much did Roberta pay forthe curtains before sales tax?