Bingo Blitz - Card Possibility

This is one for the nerds. Do you know how many different cards there can be in a standard 75-ball bingo game where the middle square is covered? Read on to find out!

Bingo Blitz follows a standard 75-ball bingo game where the middle square of each card is covered already. Each square is 5x5, meaning each card has 25 squares. With one already covered, this leaves 24 numbers needed for the rest of the card. It is not as simple as choosing 24 numbers from 75 because he bingo cards are split into 5 columns, namely B, I, N, G and O. Combinations and permutations are taken from each of the columns and put together to make a full card.

This is just one of many possible bingo card combinations

Column B uses numbers 1-15
Column I uses numbers 16-30
Column N uses numbers 31-45
Column G uses numbers 46-60
Column O uses numbers 61-75







The number of possible bingo cards here can be calculated by using some mathematics i.e. permuations. This is simply how many different ways are there picking a certain number of items from the whole pool of items where the order of the items picked is important. As stated, this uses 5 different columns and so the permutation for each column would need to be worked out. This is done using this formula:

Permutation formula

Where P is for permutation
            n is for number of items to chose from
            r is number of items to be chosen

The exclamation mark represents factorial. It means multiplying all of the numbers together up to and including the number before the exclamation mark. For example,

2! = 2 x 1 = 2
3! = 3 x 2 x 1 = 6
4! 4 x 3 x 2 x 1 = 24

and so on.


In this case, n is 15. Columns B, I, G and O have r as 5, where as column N has r as 4 because only 4 numbers need to be chose for this column.

So, as can be seen, columns B, I, G and O all have the same formula. Essentially, we place n = 15 and r = 5 into the formula above. This is:


15! divided by 10!

There will be some cancellations in this here as both 15! and 10! contain the first 10 numbers. The permutation for columns B, I, G and O is,

 11 x 12 x 13 x 14 x 15 = 360360

Now, the permutation for column N is n = 15 and r = 4. This is

15! divided by 11!

Again, there is some cancellation here because both contain the first 11 numbers. This leaves:

12 x 13 x 14 x 15 = 32760

Now is where we put all of these together using multiplication because of how many permutations there are in having just 2 columns different. We simply multiply the 2 numbers in bold from above, but keeping in mind that 360360 is to be used 4 times for the 4 columns of B, I, G and O.

Our answer is:

360360 x 360360 x 32760 x 360360 x 360360 = 552,446,474,061,128,648,601,600,000

So there are 552,446,474,061,128,648,601,600,000 different possible cards! It is safe to say that no one will have the same card as you.

Bingo Blitz - Holders

A topic of great debate over the years of Bingo Blitz is the 'holders'. People's opinion on them is divided and people call them unfair, where as some people think it helps. We will set the record straight here.


It is important to define the term 'holder' to those who do not know. 

A holder is a player who gets a bingo but doesn't press the bingo button. Instead, the player waits until the end of the round before calling the bingo. 

It does seem a very innocent act for a player to do, but there are people who complain about it and call it unfair. Firstly, before giving the actual article's view on the holders, we will give the advantages and disadvantages of someone who 'holds.

Advantages

• Gain more coins
• Gain more treasure chests
• Be able to click more numbers - more xp and more numbers to daub for power up meter.

Disadvantages

• Possibility of missing bingo if the final few bingos are called quickly.
• More cards to focus on than if bingo was called.

It seems quite obvious for a player to hold. Players can call it selfish if they hold to get more coins and treasure chests, but it is a very legitimate and honest tactic. These extra coins can be used for the slot rooms and the extra treasure chests could contain credits or even a collection item! The player could miss the bingo if they aren't careful, but any good holder will keep an eye on the bingos remaining in the round to ensure they get the bingo. Below we will address some of the questions and complaints people have about holders.

It's selfish!

Is it? Isn't human nature all about getting more for yourself for free? Holding just ensures that a player can collect the coin squares and treasure chests on a card without them being wasted. It is a tactic available to everyone and cannot be considered selfish if everyone can do this and not affect anyone else.

They take my bingos!

This is the common misconception associated with holders; other players think they are 'stealing' their bingos. Personally, I just see it as a gripe opportunity for a player who loses. It is simply optimising the payout a player gets. There is no mathematical sense to the notion of 'stealing' bingos. Below I will show why there is nothing to back up the claim of 'stealing' the bingos.

Ok, let's say we are in a room with 40 bingos. The average games lasts for 23-24 balls called. Let's say that the first bingo is called after 2 balls have been called. Second and third place follow shortly after on the 3th and 5th balls called respectively. Now, the holders come into play. Every bingo from 4th to nth (where n is the number of bingos in the round; n = 40 here) pays out exactly the same in terms of coins and credits. Why would a player call a bingo now on the 6th ball when they could call it on the 22nd ball and have more coins, more treasure chests and more XP? This is holding. A player may get a bingo on the 7th ball, another five players may get a bingo on the 9th ball and another two players get a bingo on the 8th ball. It does not matter when these players call the bingo; the fact is that they have one and can call it anywhere between now and round over. Their actions do not affect any other player. This is what causes the confusion and anger amongst non-holders. They think that holders are stealing their bingos when, in fact, they already had a bingo and can call it anytime. Hopefully this can be explained better in the diagram below.

The round ends too fast!

Does that not mean that the middle of the game goes slow? Let's not forget that Bingo Blitz is a fixed game based on a random number generator which allows for the game to end at roughly the same time each time, given that there are enough players playing. As stated, the average game lasts for 23-24 numbers. A person once said to me "the game ends too fast because of holders", which I think is silly really and just a chance to complain about something due to them being a sore loser. Not all players are holders and they call their bingos when they get them. This allows holders to judge when to call their bingo(s). This is what causes a lot of bingos to be called at the end of the round. Because the holders didn't call the bingos when they actually earned them, this surely slowed down the round in the middle part.

Note: It isn't just holders which cause an end-of-round rush of bingos. Mathematically speaking, after 20-odd numbers called and single/double daubs used, it is very likely that many players will need the same number anyway.

Bingo Blitz - TheXmenForce

Hi guys. I just want to share with you a Bingo Blitz player who shares his progress on YouTube and also offers hints and tips.


His YouTube account is TheXmenForce and you can visit this by clicking here. I recommend subscribing to him for help so you can be successful at Bingo Blitz. An example video can be seen here:

Over time, we will bring you gameplay and tips, but this is a great place to watch Bingo Blitz videos for the meantime.

Cash For Apps

Cash For Apps

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