Calculating Possibilities for Winning Tickets | Combinations Problem

  • Thread starter Physicsissuef
  • Start date
  • Tags
    Combinations
In summary, to calculate the total number of possible winning ticket combinations, use the formula nCr = n! / r!(n-r), where n is the total number of tickets and r is the number of tickets needed to win. Purchasing more tickets does increase your chances of winning, but the increase is not significant. There is no way to guarantee a winning ticket combination, as winning is based on chance and luck. To calculate the probability of winning with a specific ticket combination, divide the number of possible winning combinations by the total number of combinations. There are no proven strategies for increasing chances of winning and they should be used at your own discretion.
  • #1
Physicsissuef
908
0

Homework Statement



From 10 tickets of luck, only 3 are winning. If we buy 6 tickets, how many possibilities we have at least to have 1 winning ticket in our hand?

Homework Equations



[tex]C_n^k=\frac{n!}{k!(n-k)!}[/tex]

The Attempt at a Solution



6 tickets from 10, we can choose on [itex]C_1_0^6[/itex]. There are 4 tickets left. [itex]C_7^3[/tex] is the tickets which are not winning. Is the right answer:[tex]C_1_0^6[/tex] - [tex]C_7^3[/tex]

?
 
Physics news on Phys.org
  • #2
Focus on the "at least" part.
 
  • #3
Sorry, but I can't figure out
 

FAQ: Calculating Possibilities for Winning Tickets | Combinations Problem

How do I calculate the total number of possible winning ticket combinations?

To calculate the total number of possible winning ticket combinations, you will need to use a combination formula. The formula for calculating combinations is nCr = n! / r!(n-r)!, where n represents the total number of items and r represents the number of items being selected. In the case of winning ticket combinations, n would be the total number of tickets and r would be the number of tickets needed to win. Plug these values into the formula to get the total number of combinations.

Can I increase my chances of winning by purchasing more tickets?

Yes, purchasing more tickets does increase your chances of winning. However, it is important to note that the increase in chances is not significant. For example, if there are a total of 100 possible combinations and you purchase 10 tickets, your chances of winning would increase from 1% to 10%. It is still important to remember that winning is not guaranteed and you should only spend what you can afford.

Is there a way to guarantee a winning ticket combination?

No, there is no way to guarantee a winning ticket combination. As mentioned before, purchasing multiple tickets will increase your chances of winning but it does not guarantee a win. The outcome of the winning ticket is based on chance and luck.

How do I calculate the probability of winning with a specific ticket combination?

To calculate the probability of winning with a specific ticket combination, you will need to divide the number of possible winning combinations by the total number of combinations. For example, if there are 100 possible combinations and you have 1 winning ticket, the probability of winning would be 1/100 or 1%. This means you have a 1% chance of winning with that specific ticket combination.

Are there any strategies for increasing my chances of winning?

There are no guaranteed strategies for winning, as it is ultimately based on chance. However, some people may choose to use strategies such as purchasing tickets with consecutive numbers or choosing numbers that have not been picked in a while. These strategies have not been proven to increase chances of winning and should be used at your own discretion.

Similar threads

Win the 3-Digit Lottery: Jackpots & Deuces!
Replies
11
Views
2K
Lottery Combinations Homework: Solving for Guaranteed Matches
Replies
1
Views
2K
How long before someone wins the lottery twice?
Replies
1
Views
2K
B Maximize Your Odds: Choosing Winning Lotto Combinations from 1 to 58
Replies
15
Views
3K
MHB Win a $10 or $5 Prize in Tom's 4/19 Lottery Fundraiser
Replies
1
Views
2K
MHB Calculating total possible matching combinations remaining
Replies
1
Views
2K
Chances of player A winning a chess tournament?
Replies
12
Views
3K
Dice Game: 6-sided die vs 20-sided die
2
Replies
53
Views
6K
Calculating Winning Probability for a Chess Master in a Competition
Replies
18
Views
2K
B How do I go about calculating the expected profit/winning per play of this game
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top