Questions tagged [lotteries]

Questions involving gaming games based on drawn numbers: Divisions, Systems and Dividends. Consider also using (combinatorics), (probability) or (betting) where appropriate.

Filter by
Sorted by
Tagged with
0
votes
1answer
55 views

Lottery Combinations - Sum of All Numbers

In the 6/49 lottery game, there are 13,983,816 total combinations. My question is, how many combinations are there of a particular sum when adding all 6 of the 49 numbers together. For example: 6, 16, ...
0
votes
1answer
45 views

Lottery Statistics

My question is, do you stand more, less, or the same chance of winning a lottery jackpot by playing 100 tickets for one draw once a month, or by buying one ticket every day for 30 days? My initial ...
1
vote
1answer
46 views

Spreading tickets in a lottery actually diminishes your chances?

Here is the scenario: There is a lottery running for $n$ terms, which means that it is repeated. In each term, there are a total of $T$ tickets and one prize. You currently own $t$ tickets and your ...
0
votes
0answers
35 views

Probability in winning a consolation prize in a lottery

In a lottery where you need to hit 6 numbers out of 45, the probability of winning is 1 out of 8145060. I also how to calculate the probability to hit, say, 5 out of the 6 numbers (among the 45). But ...
1
vote
2answers
44 views

Two Options in Lottery - Probability

I was thinking about the lottery and came to this question, which is way above my understanding of probability. Let's say there are 100,000 tickets and 10 IPhone prizes. You can buy as many tickets ...
0
votes
1answer
30 views

Probability for Lottery tickets

I have no idea on how to solve this. Can someone help? Q: In the first lottery the ratio of winning tickets to losing tickets is 1 to 2, and in the second lottery is 3 to 1. After mixing the tickets ...
0
votes
1answer
21 views

Probability of winning at least one prize from playing two independent lotteries

Consider Lottery A which has a probability $0.8$ of winning a prize and Lottery B where the probability of winning a prize is $0.9$. If I buy one ticket for Lottery A and one ticket for Lottery B, ...
0
votes
2answers
33 views

Lottery probability: Matching first 6 of 7 is x6 harder then any 6?

In the UK lottery, you choose 6/59. The machine produces 7 balls in order (same machine all 7, same number pool all 7). The First 6 are main and number 7 is a bonus. You win jackpot if you 6 = main ...
1
vote
2answers
51 views

Lottery variance

The chance to win in Lottery game is $0.1$. Michael decided to buy a ticket every week until he will win or until he will buy 5 tickets. if X is the number of weeks Michael bought a lottery ticket, ...
0
votes
2answers
55 views

# of Raffle Wins (Probability Distribution)

MOTIVATION I am considering investing a significant amount of money into a raffle. In order to decide the number of entries I purchase, I would like to find probability distributions for the number ...
0
votes
1answer
35 views

Flaw in a Lottery Game and a Second Opportunity

In my country there is a Lottery Game called "Melate". It works like this: Get a Melate flyer, pick up 6 Numbers from 1 to 56, it doesn't matter the order, each combination costs $15, then ...
0
votes
1answer
43 views

Probability of winning £25 on two scratchcards

Using the detailed information provided in the links, please answer the questions below: Which scratchcard offers the "best chance to win" a prize of £25? Does the cost of the scratchcard make any ...
0
votes
1answer
19 views

Expected value of ticket, when we can also win multiple lottery tickets / re-rolls

Let's start from simplified case, that is trivial to solve, then I wil explain the problem that I have (it's not a homework of any kind or anything, I just want to know expected value of the rewards I ...
3
votes
1answer
82 views

Fleecing the Raffle

There is an ICPC 2016 contest question about cheating in a raffle. It gives n names in the raffle box and p prizes, and you give back the optimal probability of winning a prize in the raffle by ...
0
votes
1answer
74 views

Expected value of a lottery ticket bundle

Suppose I want to enter a lottery where my odds of winning are p=1/625. The lottery occurs daily. If I enter this lottery every day, my odds of winning on at least one of the days that I played become ...
2
votes
1answer
54 views

Given the following conditions, how many tickets do you need to win the lottery?

A lottery game consists of scoring $15$ numbers out of $25$. The chance to hit 11 points with a single ticket in this lottery game is $\frac{1}{11}$. What is the minimum amount of tickets to score $11$...
2
votes
0answers
138 views

Pigeon Hole Principle - Minimum customers needed such that at least one is a winner

I was reading about pigeon-hole principle from this paper. If n items are put into m pigeonholes with n > m ( m,n ∈ N ∗ ), then at least one pigeonhole must contain more than one item. One of the ...
0
votes
2answers
41 views

Difference between betting X numbers in one wheel-of-luck turn and betting 1 number in X wheel-of-luck turns

The scenario is simple: A wheel of luck has 10 numbers and people can bet on any number and win a chocolate if the wheel spins in their number. What is the difference between betting for 5 numbers in ...
0
votes
0answers
39 views

How to estimate the number of blocks required in covering design

Apologies for my lack of mathematical skills shown in this forum so I hope this isn't a silly question, but I'm always willing to learn. I'm experimenting with a Hill Climbing algorithm for my own ...
0
votes
1answer
68 views

Constructing a lottery with guarantees

I'm working on something just for fun in my fantasy sports league and am running into a little trouble with one aspect of my lottery system. Basically, I want the bottom half of the league (6 teams) ...
0
votes
1answer
233 views

How to combine a number frequency data set into tradional lottery number calculation?

I'm trying to figure out how to combine historical lottery data with a traditional lottery number probability calculation technique to result in a more "accurate" probability of a number being drawn, ...
1
vote
1answer
68 views

Do lottery system picks increase/decrease chance of winning?

For a lottery game where: The numbers are 1-45 Standard game is to pick 7 numbers 9 numbers drawn (7 winning numbers and 2 supplementary numbers) Jackpot = all 7 winning numbers matching, and prizes ...
0
votes
1answer
31 views

Odds of lottery if more than 1 grand prize

There are 60,000,000 possible combinations for a lottery, and there are 3 combinations that will win the "Grand Prize". So the odds of winning the grand prize is 3/60,000,000 = 1 in 20,000,000. How ...
1
vote
1answer
36 views

Estimating hot/cold lottery ball totals

A large percentage of lottery players rely on past ball ‘performance’ in choosing their numbers. If a ball appears more than the average number of times, half of the players believe it it is somehow ...
0
votes
2answers
36 views

Probability of choosing lottery ticket

There is a lot that contains 2 winning tickets out of 10 pieces. When 10 people draw this lot in order, the probability that the 10th person draws a winning ticket is? Is this the same as choosing ...
0
votes
1answer
59 views

How much money would it cost to “buy out” every possible number in the 6-digit Lottery?

So, the constraints are as follows: First 5 numbers are digits 1 ; 69 The 6th number is a number 1 - 26 Order does not matter Numbers do not repeat Tickets cost $2 each My reasoning is as follows: ...
1
vote
1answer
299 views

Probability of Winning Fantasy 5 Lotto

In Fantasy 5, you choose 5 numbers, each 1-39. You win if you choose match all 5 numbers, but you can also win if you match 4, 3, or even 2 of the numbers. The lotto website lists the probabilities ...
1
vote
1answer
49 views

Weird lottery proabablity question

In this lottery $7$ balls are chosen from $1-60$. In order to win the main prize, you must select all $7$ right. I calculate the odds of doing this as: $$1:386,206,920$$ The odds of getting $3$ ...
0
votes
1answer
52 views

How do you create 10 discrete number combinations for a lottery?

In the lottery I participate in, the odds of winning the jackpot has been stated as being 1:5.4 million per row. Each coupon you hand in has 10 rows, where each row is a combination of 7 numbers out ...
1
vote
1answer
29 views

Probability lottery question with multiple variables to account for

Consider a state lottery where you get to choose 8 numbers from 1 to 80, no repetition allowed. The Lottery Commission chooses 11 from those 80 numbers, again no repetition. You win the lottery if at ...
0
votes
1answer
102 views

Why exactly “(1-p) math” gives wrong probability of next lottery draw if something special happened many times in a row (10 even => play odd)?

Let's take not odds/even example, but a more complicated one, but same logic can be applied to both. Given some lottery, say $5$ out of $36$ lottery ($5$ unique numbers out of pool of $36$ numbers ...
4
votes
1answer
589 views

Math probability that “5-out-of-36” lottery draw has at least one pair of numbers with difference = 1.

Given a $5$ out of $36$ lottery ($5$ unique numbers out of pool of $36$ numbers ranging $[1,2,…,36]$). How to calculate probability that a draw has at least one pair of consecutive numbers (like $22, ...
0
votes
1answer
63 views

Probability of not guessing any number in lotto drawing 7/34

I'm trying to calculate the probability of not guessing any numbers in a 7/34 lotto drawing. My approach was to multiply the probabilities of guessing a single number 7 times in a row while removing 1 ...
4
votes
2answers
2k views

Calculate lottery's second prize using combination - lottery probability question.

Assume a lottery game of the following rules: Picking your numbers: Pick a total of 6 different numbers from the lot containing 42 numbers (1 to 42). Draw: Draw 7 balls, with no repetition(i.e: ...
2
votes
0answers
54 views

Probability of winning the lottery: how are those two interpretations different?

Winning this specific lottery consists of choosing 5 numbers from a list of 50 numbers $\{1,2,3,...,50\}$ and then choosing 2 numbers from a list of 9 $\{1,2,...,9\}$. You win if all your numbers are ...
7
votes
2answers
194 views

Boxed lottery tickets, rencontres numbers and number of degree-$n$ permutations of order exactly $d$

This is a question that I encountered at work that I am trying to get a deeper understanding of. We sell tickets in a lottery where you guess $4$ numbers out of range of $36$ (the range is irrelevant ...
2
votes
2answers
52 views

Lottery ticket sales and ‘coverage’

Take a small 6/40 lottery with 3,838,380 possible combinations. Prior to the draw, the operator sells only 3 million randomly drawn tickets (for simplicity’s sake, I’m completely ignoring the fact ...
0
votes
1answer
147 views

Probability of winning with multiple tickets in multiple draws

Unfortunately, after hours of searching I was unable to find an answer to the following scenario: Let's assume I play five unique combinations in a weekly 6/49 lottery, where the chance of matching ...
6
votes
1answer
634 views

UK Lottery Odds Calculation Error

I found the probability topic in stats and mechanics to be very interesting, and I attempted to try using it to calculate the odds of winning the UK National Lottery, but failed. My calculation was (1/...
2
votes
1answer
38 views

Are the two item selection turn lottery methods identical?

Owners of a land plot build a building together, in which there are many apartments. Every owner has the right to own a certain number of apartments. The sum of the rights of all owners is equal to ...
0
votes
1answer
31 views

Calculating permutations when an event can end the game

There are 50 balls. 40 Black and 10 White. You draw balls without replacement and win if you draw all 10 white balls before drawing 4 black balls in a row. How do I calculate the probability of ...
3
votes
2answers
102 views

Probability: independant lottery ticket

I have one chance over 1,000,000 to win a lottery. If I buy the same number of ticket with different combination on each, I have 100% chance of winning. What if my ticket number are randomly choosen ? ...
0
votes
3answers
103 views

How many powerball tickets will guarantee a 3/5 match?

Trying it figure this out, but looks like the obvious answer might not be right. According to the probabilities there is a 1 in 579.76 chance of matching 3 of 5 numbers in a Powerball ticket. So how ...
0
votes
3answers
212 views

What is best strategy in a slightly biased lottery with known differences of frequency of some balls?

I know for sure which numbers appear more often in a 5 out of 36 lottery (5 unique numbers out of pool of 36 numbers ranging [1,2,…,36]). I know that 4 balls appear more often than the average, 11 ...
0
votes
2answers
22 views

Lottery - better try to hit numbers-group that appears often, than hope for a “one-in-thousand-years” combination? [duplicate]

Please correct my reasoning: There is a 5 out of 36 lottery (5 unique numbers out of pool of 36 numbers ranging [1,2,…,36]). Strategy 1: just play any random combination. Like 12345, or better 11111....
0
votes
0answers
33 views

Play 100 tickets in one lottery draw or 100 plays/draws with 1 ticket - same chances to win?

5/49 lottery is when 5 different numbers are selected (without replacement) out of 49 possible numbers in range 1..49. Total number of possible combinations is C(49, 5). (1) If I make a stake once ...
1
vote
1answer
38 views

Better play 100 tickets in one lottery draw or 100 plays/draws with 1 ticket?

I heard many people say that it is better to play 100 tickets in one draw of 5/49 lottery, rather than 100 plays/draws with 1 ticket. Is there any scientific basis for this, or actually there is no ...
1
vote
1answer
1k views

What probability distribution is best to describe lotteries?

What kind of probability distribution is best suited to describe lotteries? Wikipedia provides extensive list of probability distributions (another list of them - see at bottom). But reading ...
1
vote
1answer
49 views

powerball draw question

This seems intuitive but would like a second opinion. Powerball with 69 numbers. Need to choose 5 correct (order does not matter). ...
1
vote
1answer
45 views

Probability for a lottery [closed]

What's probability to choose the 6 correct numbers in a lottery (made up of 42 numbers)? I do know how to do it with combinatorics $${42 \choose 6} = (42·41·40·39·38·37)\div ( 1·2·3·4·5·6) = ...