one million tickets are sold for a lottery in which a single prize will be awarded.
(a) if you purchase one ticket, determine your odds against winning
(b) if you purchase 10 tickets, determine your odds against winning
Waht is 1/million?
what is 10/million?
To determine the odds against winning in a lottery, we need to know the total number of tickets sold and the number of tickets you have.
a) If you purchase one ticket and there are one million tickets sold, your odds against winning can be calculated by dividing the number of losing tickets by the total number of tickets. In this case, there would be 999,999 losing tickets (one million minus your one ticket), resulting in odds of 999,999 to 1 against winning.
b) If you purchase 10 tickets, you would have 10 chances out of the total one million tickets sold. This means that there would be 999,990 losing tickets (one million minus your ten tickets), resulting in odds of 999,990 to 10 against winning. These odds can be simplified to 99,999 to 1 against winning.
Please note that these calculations assume that each ticket has an equal chance of winning and that there are no other factors involved in the lottery draw.