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Welcome to the party! Today you will participate in an about the birthday paradox. We will use you, the reader, as part of our data, to help explain what it is, why it is cool, and how it works.

By Russell Goldenberg

Hello! . On what day of the year were you born? Please tell me your real birthday, this is for science 🔬not evil 💀, I promise.

Cool, thanks! My birthday is . We don’t share the same birthday 😢 We share the same birthday! Scorpio fam 🦂 . But how many people do you think we need in a room to have a 50% chance that two people have the same birthday? But let’s pretend I was lying, and I’m really born on, say... August 15th. How many people do you think we need in a room to have a 50% chance that two people have the same birthday?

This seems like a good guess and sounds intuitive💡because there are 365.2422 days in the year, which is a lot. But would really give us a chance of a shared birthday. I would take that bet! 💸

Hold your horses 🐴! You know there are 365.2422 days in a year, right? The chances of a shared birthday with just is actually about . I wouldn’t take that bet! 💸

Oh so close 🥈! But would really give us a chance of a shared birthday. Tough to say if I would take that bet... 💸

Holy 💩you nailed it! Or maybe you’ve heard about this, huh? Or you are just a big Michael Jordan 🏀 fan like myself… Anyways, it can still be hard to believe it actually happens, right?

The chance that two people in the same room have the same birthday — that is the 🎉. And according to fancy math , there is a chance when there are just in a room. It may seem surprising, but the logic is much more simple than it appears. But first, let me convince you it happens.

Of course I can make you believe it. But we won’t look at formulas 🤓 or simulations 🤖, let’s invite the last like you who just visited this site to our party. 🎈= shared birthday

💥 Boom! I told you it could happen. 🥚Aww we laid a goose egg. But that is just one instance, and it would be wrong of me to stop there. Because each time we get 23 people together, it’s basically a coin flip that we get a shared birthday. The more we repeat this, the more balanced our results will be. That is the Law of Large Numbers in action.

Okay, let’s bring in groups of 23 people and see what happens. I have a feeling we will witness the magic of the paradox a few times 🤞. Hmm let’s speed this up. A little more... A lot more...

As you can see, we are converging towards the . But wait, there’s more! Let’s boost this sample size to include everyone who has ever visited this site. We will put it on hyperspeed ⚡️so we aren’t here all day.

The odds can seem surprising because as self-involved humans 😍, we usually frame the situation by comparing just ourselves to 365 possible days. Our brains are more inclined to think about things linearly, but as we add more people to a room, the number of comparisons actually goes up quadratically 📈.

The odds can seem surprising because as self-involved humans 😍, we usually frame the situation by comparing just ourselves to 365 possible days. Our brains are more inclined to think about things linearly, but as we add more people to a room, the number of comparisons actually goes up quadratically 📈.

Aww you didn’t have to say that 😉. Hopefully this helped demystify The Birthday Paradox . Now get out there and shout random probabilities at a room full of strangers!

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"I came in crying and asking for help so my son could be well nourished. They treated my son and I as actual human beings. I asked them for..."

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If you wish to donate clothes or household goods to either our new Thrift Shop or to FSC, we are currently accepting men's, women's, and children's clothing plus household items, jewelry and more at our new thrift shop location at 141 Sandwich Road in East Falmouth between 10 a.m. - 3 p.m., Monday - Saturday.

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For all other donations, ( click here for a complete list ), please bring all of these donations to our new thrift shop location on 141 Sandwich Road in East Falmouth. We are processing all donations here for both our thrift shop and our free clothing room at FSC in our new location. Thank you in advance for your donations!

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WE CANWomen's Empowerment through Cape Area Networking

Are you aware of the incredible services available here in Falmouth on a monthly basis through our partnership with WE CAN? WE CAN offers appointments for legal consults, financial empowerment and work support once a month in our FSC offices. If you would like more information or would like to make an appointment for one of these free consults, Limited Edition For Sale J Renee Aldene SlingbackWomens Black Kidskin Leather Clearance Best Prices Sale Online Best Store To Get Cheap Online TibJsZ
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Solar Innovationsspecializes in providing high quality commercial products for a variety of types of businesses.From single Terrace Doors to expansive Glass Structures, Solar has you covered in so many ways. Our operable walls can create a dynamic storefront, lobby, or restaurant space that draws visitors in, and skylights or curtain walls provide inviting natural light that can improve customer satisfaction. Your lobby or work space area isn’t complete without one of our systems. Whether a restaurant, office space, retail store, hotel, sport venue, or educational or institutional facility, our high quality systems can improve any commercial space.

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Residential applications can range from simplistic modern style to traditional English structures with a full set of decorative accessories. Solar Innovations is your single source provider for all your residential Door Window, Glass Structure, and Skylight needs, with the ability to fully customize any project. We offer Complete Glazing Packages that keep sightlines, finishes, and glazing warranties consistent. While other manufacturers say no, Solar says yes. We believe there isn’t a dream too big or small for your next home project. We can work directly with homeowners, architects, professional builders, contractors, or dealers and we can give you the products you need for your project to succeed.

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Aluminum products are some of the strongest in the industry. Every product line from Solar is available in durable aluminum. Aluminum is alsorecognized for its sustainable nature, ability to support larger sizes and in addition, durability and longevity compared to other materials. We provide Doors Windows, Glass Structures, and Skylights in aluminum.

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Vinyl-composite is another versatile option for Doors Windows. Vinyl-composite is a naturally thermally efficient material, allowing our products to reach higher energy codes and reduce heating and cooling costs. Similar to aluminum, vinyl-composite framing is durable and requires no constant finish maintenance.

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The warmth and beauty of solid wood can complement any home or commercial space. Solid wood is available in a variety of species and finishes on select Door Window, Structure, and Skylight products. For products that will come into direct contact with the elements, durable aluminum cladding is available for the exterior.

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For those interested in combining the strength of aluminum or vinyl-composite and the natural beauty of a wood interior, wood cladding and veneering are a great choice. Wood cladding is a thick wood cap on the interior, while wood veneering is a thin layer of wood; both options provide the beauty of real wood and the longevity of an aluminum or vinyl-composite product.

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Our systems have the option to be both coastal and non-coastal. Because we use stainless steel hardware, our materials withstand the corrosive effects of the elements in these coastal regions.

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Our company currently offers the largest selection of products tested for Florida ratings. As a result, the products withstand even the most extreme weather conditions.

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Solar Innovations has the ability to manufacture even larger panels that operate with greater ease for several functions: folding, sliding, swinging, and stacking.

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The thermal break separates the aluminum and minimizes conductivity of heat and cold from the inside to the outside while ensuring the structure’s interior remains comfortable at any time of year.

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Each Solar Innovations systemis custom made to order based on your project needs and preferences. Therefore, our team of engineering experts has you covered.

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Solar Innovations‘ systems offer single-handed operation resulting in smooth movement with little effort. Because much of our hardware is manufactured in-house, we have greater control of lead times.

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In addition to manufacturing ourproducts, we also make many components for ourhardware. This allows us to better control lead times and as aresult, help serve our customers better.

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Solar Innovations has top of the line glazing solutions which include laminated, dual glazed, triple glazed, and marine glazed options just to name a few.

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Solar’s products are manufactured with outstanding thermal performance, durable framework, andsustainable materials, therefore making it a great option for your next project.

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Screen options are available on a wide variety of our door and window products. These screen options help keep the pests at bay still allowing you to view the outdoors.

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Solar Innovations manufactures the highest quality glazed structures custom designed and engineered to match individual customers’ needs while having a large variety of styles to choose from.

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At Solar Innovations Architectural Glazing Systems, we are always innovating new products and technologies while serving dealers, architects, and homeowners in the architectural building materials community. We provide high-end products that are sustainable and also increase the efficiency of either a residential home, commercial building, and high-end resort. Crafted with precision and quality, ourproducts enhance the richness of any lifestyle, and also bring the outdoors in while keeping the harsh elements out.

As your single source provider of Residential and Commercial products we provide: Stacking Glass Walls, Folding Glass Walls, Multi-Stacking Doors, Multi-Pocket Doors, Lift Slide Doors, Sliding Glass Doors, Pivot Doors, Terrace Doors, Sunrooms, Greenhouses, Conservatories, Skylights, Wood and Aluminum Curtain Walls, Tilt Turns, Doors, Windows, Glass Railings in addition to many other products. Furthermore, we are confident we can the suit the needs of any situation for your next project.

We offer complete solutions to fit your needs in our Doors Windows, Glass Structures, and Skylights. Our products create open environments that give an awe factor to any home or commercial building, while increasing natural light and reducing utility costs. Contact us today for a free quote.

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There are three important things to note here:

That is, Word is applying the appropriate paragraph styles to your paragraphs.

Your numbering scheme is stored in your Headings list style. It's not stored in the individual paragraph styles. Therefore:

Edit the individual paragraph styles Edit the list style

Figure 7: Choose the Multilevel list menu

Figure 8: To edit your list style, hover over the thumbnails for the list styles to identify the one you need, then right-click and choose Modify.

If using the List Library on the Multilevel List menu (see Figure 2 or Figure 8 ) works for you, then go for it! For quick'n'dirty work, it may be just the thing.

For a corporate template that will be used by hundreds or thousands of users, it's probably not the best solution. For really big complicated documents, or documents where you have to cut and paste from one document to another a lot, then the List Library may let you down.

For more information, directly from Microsoft's Word development team, see [NOTE: outdated links removed by Lene Fredborg 29-Dec-2016] The Many Levels of Lists and Multilevel Lists vs List Styles .

Too good to be true?

Related articles on other sites

All sounds too good to be true? It is . When you've finished getting your numbers just right, you might be interested to read some of the material MVPs have put together on numbering. Start at the Microsoft Word MVP FAQ site , click FAQ and then Numbering.

And, read from people in Microsoft's Word development team especially Stuart Stuple's The Why Behind Our Styles and Lists Designs .

Related articles on this site

How to create numbered headings or outline numbering in your Microsoft Word document.

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Photo info

Photograph of horn players taken at National Music Camp, Geelong Grammar, January 1993. I have no recollection of why all the horn players were wearing silly hats, but National Music Camp has a fine tradition of encouraging innocent pranks and general merriment—as well as damned hard work—so it's not entirely surprising. What's more puzzing is why I kept the photo all these years!

John Curro, conductor of the Queensland Youth Orchestra who taught me more than I'll ever know.

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Topic : Numbering, headings, outlines

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