Questions tagged [lotteries]

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

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Gamble - Lottery probability question

A lottery has numbers from 1 to 25. 15 numbers will be randomly drawn, whoever hits the 15 numbers wins the prize. I will bet 17 numbers, 2 more than necessary, to increase my odds. What is the ...
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Lottery fairness problem [closed]

I'm wondering if this scheme is fair or not. I'm not an expert in math so I have no clue. When lottery room starts the winning number is set by random integer between 0-999. Every player enters the ...
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Lottery Probability Questions

In a game of chance, you mark two different numbers from 1 to 25 on a ticket. During the draw, two different numbers are drawn from an urn containing balls with the numbers 1 to 25. If you have marked ...
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What is the probability of not getting any number in a lottery where six numbers are chosen from $1$ to $60$.

A specific lottery works this way: Six different numbers are chosen in the set $\{1,2,...,60\}$ and you have to guess the numbers choosing six different numbers in the same set. The probability of ...
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Lottery Question Probability [closed]

If you hold two tickets in a lottery for which n tickets were sold and 5 prizes are to be given, what is the probability that you will win at least one prize? (one lottery is one prize) using ...
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Finding the probability of winning lottery in four different conditions

There is a lottery game , it consists of $6$ block and each blocks contains numbers from $1$ to $90$.When you play the lottery , you should select one number from each of these $6$ blocks. $\color{red}...
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Buying Same Combo in Multiple Lotteries

Odds of winning the jackpot in 6/49 lotto is 1 in 13,983,816. So imagine there were 13,983,816 countries and each country had its own lotto 6/49. If you bought one ticket in each country with the same ...
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A practical question about probabilities and NS&I bonds investment

Here is a rather practical question, I and my son have different opinions about, please bear with me, it's a probability question: With NS&I bonds, is it better to buy many smaller value bonds or ...
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Is there a more general expression for the probability of any subset of a subset being contained within another subset?

Let: $\phantom{2}N = \{ 1 .. n \}$ $\phantom{2}J \subset N$, where $\vert J \vert = j$ $\phantom{2}K \subset N$, where $\vert K \vert = k$ and $k \le j$ $\phantom{2}L$ any $\subset\ K$, where $\vert L ...
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"Math Lotto" Tickets - finding the minimum winning set

"Math lotto" is played as follows: a player marks six squares on a 6x6 square. Then six "losing squares" are drawn. A player wins if none of the losing squares are marked on his ...
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How many different lottery tickets are there in which at least three numbers match numbers in the draw?

A lottery ticket consists of six numbers between $1$ and $49$. A holder of a ticket wins the jackpot if the numbers match the six randomly drawn numbers. Any ticket with at least three matching ...
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Lottery Outcomes

I'm trying to calculate the chance multiple people (https://www.usamega.com/powerball/drawing/2021/1/16) might win second prize in the Powerball lottery and while I can calculate the chance that one ...
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Probability question on lottery draw

In the main draw of a lottery, six of the balls (which are numbered from 1 to 49) are selected at random, then the numbers chosen are rearranged and displayed in ascending numerical order. For ...
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Is our teacher speaking correct about the probability of a national lottery ticket?

I'm trying to keep the question short. Today the teacher said something like this.Your chance of winning in the national lottery does not depend on which city you bought the ticket from. If you want,...
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Can we win the lotto twice with the same combination?

Hello everyone : here's Jack's little story So let's say the lotto Jack's playing is: $5$ numbers between $1$ and $49$ And let's say he likes to play : $ 28 , 13 , 35 , 41 , 8 $ I know that to win we ...
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Choosing lottery numbers strategy (based on heuristics such as choose as many odd numbers as even numbers)

So I got this question in brilliant.org's probability fundamentals: Every week you play a lottery game that requires choosing 4 numbers between 1 and 80. In this particular game, you win "...
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Ten million people enter a certain lottery. For each person, the chance of winning is one in ten million, independently

I am solving the following question in Blitzstein & Hwang: "Ten million people enter a certain lottery. For each person, the chance of winning is one in ten million, independently. (b) ...
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Discrete Math - Probability (Lottery Problem)

Question: Suppose that you buy a lottery ticket containing k distinct numbers from among ${1, 2, . . . , n}$ where $1 ≤ k ≤ n$. To determine the winning tickets, k balls are randomly drawn without ...
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Controversial probability calculation regarding Thai lotto incident

At 1st September 2020, the number "999997" was picked for the first prize in Thailand's government lotto. The consecutive repeating of the number "9" caused extensive controversial ...
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How to find the probabilities on getting none of the numbers and/or at least one number in the lottery?

I will explain my problems below Get a number answer to each of the following. Note that in playing this lottery, the player has to select 5 numbers from the set of positive integers 1 to 49. a) Find ...
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240 views

Find the probability of selecting exactly two of the correct $ 6$ integers in a lottery

I saw a question in my textbook , i have a solution for it but i am not sure.Can you corroborate my solution? Question: Find the probability of selecting exactly two of the correct $ 6$ integers in a ...
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Probability of Winning Ten Lotteries with the Same Number?

I hope you can help me with this question: Assuming I play a Lottery where I can buy a Lottery Slip with exactly one random number from $1$ to $10$. The Probability of winning this lottery is $\frac{1}...
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In a lottery, there are $200$ losing tickets and $10$ winning tickets. We draw with return untill we get our first win. What's the average before win?

In a lottery, there are $200$ losing tickets and $10$ winning tickets. We draw with return untill we get our first win. How many times on average do we have to draw to win? Write standart deviation ...
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Lottery on four-digit number

In a lottery a four-digit number is chosen at random from the range 0000 − 9999. A lottery ticket costs 2. You win 50 if your ticket matches the last two digits but not the last three, 500 if your ...
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Question about probabilities of lotteries

Let's assume I play $10$ columns of a lottery, each costing $0.5 €$, i.e. in total $5 €$. From the lottery, I select $5$ numbers of $45$, plus $1$ number of $20$. I continue to play in consecutive ...
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finding the probability of winning lottery

i saw an question in stackexchange .it attract me because the given answers are different from one another.Moreover , i think that the accepted solution is wrong and the second most voted answer is ...
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Probability Question relating to Lottery game

In a lottery game, the host picks $6$ numbers out of $49$ numbers ranging consecutively from $1$ to $49$. After the six numbers are drawn, an additional number will be picked from the remaining ...
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Distinguishing lottery probability cases from each other

A lottery has two cases which my common sense has problems distinguishing from each other, when the combinatorics say their probabilities are different. " A lottery has 100 tickets. One of them ...
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Lottery - Odds of Winning Multiple Jackpots on Single Ticket

Looking over Canada's Western Max lottery (7/50), a combinations calculator shows the chance of getting 7/7 with 50 numbers is 1 in 99,884,400. However, that's if you only had 1 selection per ticket. ...
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Lottery - Probability Discrepancy

Comparing probabilities for the two national Canadian lotteries - Lotto 6/49 and Lotto Max, I have noticed something illogical: First, you will see that the 2/6 + Bonus has a 1 in 81.2 chance. ...
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Designing a Custom "Abbreviated Wheel" System for the Lottery

My friend and I are interested in playing the lottery. We plan to enter multiple number combinations (a.k.a. "lines") per drawing to increase our chances of winning. Specifically, we would ...
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Minimum required tickets to get all lottery combinations?

Problem Given a lottery system where $N$ balls are drawn at random (and not put back in the pool) and you can submit tickets containing between $x_{min}$ and $x_{max}$ predictions, is there a minimum ...
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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, ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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, ...
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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 ...
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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, ...
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# 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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 $11$...
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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 ...
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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 ...