Add a salon element to your 30th birthday party by hiring a manicurist to set up a booth for pink manicures. Wine only gets better with time and so do you. You can channel a day in Napa by decorating your party area with vines and setting up tables for certain types of wine. Try incorporating custom wine glasses throughout your party to add a sentimental touch. This sophisticated theme is perfect for throwing a lovely brunch for your birthday.

## Birthday Number 30

Avoid the dinner party planning and serve easy breakfast foods, pastries, and tea. If you have a deep love for the s, host a Great Gatsby themed birthday party to celebrate the big Encourage guests to wear their best pearls, flapper dresses, and top hats for an unforgettable s inspired soiree. You can set up a fun photo booth full of s inspired props to document this fun costume party.

The Eiffel tower is only a step away if you choose to throw a Paris-themed birthday party. Alternatively, you can throw a travel themed party and include Paris as one of your favorite stops along the way.

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Keep things cozy with a fun pajama party for adults. You can set up a quirky snack bar, provide custom drinkware , and screen classic movies using a projector.

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You can also make things interesting by giving a prize to the guest with the best pajamas. Get creative with a colorful and fun Moroccan themed birthday party for you and your friends. This is a unique theme that allows you to mix and match beautiful patterns, Moroccan inspired decor, and more. Serve traditional Moroccan food and hire a belly dancer to teach your guests some new moves.

This female focused 30th birthday bash is perfect for those who want a party with pinterest-like decor, or for those who want to add a rom-com movie spin. To pull off this party theme, include plenty of self care props and gifts, such as spa packages, make-up and engraved jewelry gifts, and plenty of tasty treats. For specific ideas, consider creating custom shot glasses or personalized champagne flutes for the party tables.

This party takes the honoree and all their guests back in time to the year they were born. This party features all the chocolate kisses and lipstick marks you can fit.

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These cute balloons look great but are relatively inexpensive and perfect for serving as a backdrop. You can set up a photo booth with the balloons and a table of props in order to encourage guests to document their good time. Trade in your banners for chic garlands to add some fun to your walls and tablescapes as well.

As friends get older, they may not favor planning their own party. The most important step to throwing a surprise birthday party is making sure you send surprise birthday party invitations. Although private invites over social media are easy, you should do your best to avoid sending information about the party online or putting the surprise at risk. You want the star of the show to be genuinely surprised when they walk through the door.

Here are a few tips on how to surprise your friend or loved one:. Explore a variety of birthday card messages for the honoree that will blow them away and reiterate the effort behind your party planning. Thirtieth birthday are meant to be celebrated. Find thoughtful gifts, creative ideas and endless inspiration to create meaningful memories with family and friends.

Contribute your own ideas and projects to share the joy with our Shutterfly community. Visit their Website. You can follow on Instagram and Pinterest. View all posts by Shutterfly. Casino Party Recreate Las Vegas on your own terms with a casino birthday party. Black And White Affair Host an elegant black and white affair for your 30th birthday party. Couture Birthday Party Have you ever wanted to dress up runway-style but the perfect opportunity never presented itself?

Wine Tasting Birthday Party Wine only gets better with time and so do you. Great Gatsby Themed Birthday Party If you have a deep love for the s, host a Great Gatsby themed birthday party to celebrate the big Paris Themed Birthday Party The Eiffel tower is only a step away if you choose to throw a Paris-themed birthday party. In probability theory , the birthday problem or birthday paradox concerns the probability that, in a set of n randomly chosen people, some pair of them will have the same birthday. However, These conclusions are based on the assumption that each day of the year excluding February 29 is equally probable for a birthday.

Actual birth records show that different numbers of people are born on different days.

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## Birthday Number 30

In this case, it can be shown that the number of people required to reach the 50 percent threshold is 23 or fewer. Real-world applications for the birthday paradox include a cryptographic attack called the birthday attack , which uses this probabilistic model to reduce the complexity of finding a collision for a hash function , as well as calculating the approximate risk of a hash collision existing within the hashes of a given size of population. The history of the problem is obscure. Rouse Ball indicated without citation that it was first discussed by Harold Davenport.

The problem is to compute an approximate probability that in a group of n people at least two have the same birthday. For simplicity, variations in the distribution, such as leap years , twins , seasonal, or weekday variations are disregarded, and it is assumed that all possible birthdays are equally likely. Real-life birthday distributions are not uniform, since not all dates are equally likely, but these irregularities have little effect on the analysis.

The goal is to compute P A , the probability that at least two people in the room have the same birthday. In deference to widely published solutions [ which? If one numbers the 23 people from 1 to 23, the event that all 23 people have different birthdays is the same as the event that person 2 does not have the same birthday as person 1, and that person 3 does not have the same birthday as either person 1 or person 2, and so on, and finally that person 23 does not have the same birthday as any of persons 1 through Let these events respectively be called "Event 2", "Event 3", and so on.

One may also add an "Event 1", corresponding to the event of person 1 having a birthday, which occurs with probability 1. This process can be generalized to a group of n people, where p n is the probability of at least two of the n people sharing a birthday. It is easier to first calculate the probability p n that all n birthdays are different.

The event of at least two of the n persons having the same birthday is complementary to all n birthdays being different. Therefore, its probability p n is. The following table shows the probability for some other values of n this table ignores the existence of leap years, as described above, as well as assuming that each birthday is equally likely :. Leap years.

The first expression derived for p n can be approximated as. According to the approximation, the same approach can be applied to any number of "people" and "days". The probability of no two people sharing the same birthday can be approximated by assuming that these events are independent and hence by multiplying their probability together.

### Birth Day Number 30 potentials

Since this is the probability of no one having the same birthday, then the probability of someone sharing a birthday is. Applying the Poisson approximation for the binomial on the group of 23 people,. A good rule of thumb which can be used for mental calculation is the relation. In these equations, m is the number of days in a year.

The lighter fields in this table show the number of hashes needed to achieve the given probability of collision column given a hash space of a certain size in bits row. Using the birthday analogy: the "hash space size" resembles the "available days", the "probability of collision" resembles the "probability of shared birthday", and the "required number of hashed elements" resembles the "required number of people in a group". One could also use this chart to determine the minimum hash size required given upper bounds on the hashes and probability of error , or the probability of collision for fixed number of hashes and probability of error.

The argument below is adapted from an argument of Paul Halmos.