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 ...
61 views

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 ...
58 views

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 ...
62 views

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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"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 ...
44 views

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 ...
34 views

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 ...
95 views

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 ...
50 views

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 ...
378 views

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 "...
170 views

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 ...
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 £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 ...
39 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 ...
132 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 ...
146 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 ...
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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 $11$...