Lottery: One million tickets were sold for a lottery in which a single prize will be awarded.
a)If you purchase a ticket, determine your odds against winning.
b)If you purchase 10 tickets, determine your odds against winning.
a) 999,999/1,000,000
b) (999,999/1,000,000)^10
1M tickets are sold for a lottery in which a single prize will be awarded
a) If you purchase a ticket, determine your odds against winning.
999,999:1
b) If you purchase 10 tickets, determine your odds against winning.
P(10/1,000,000)= 1/100,000 99,999:1
a) If there were one million tickets sold and only one prize to be awarded, the odds against winning would be 999,999 to 1. This means that for every ticket purchased, there is a 1 in 999,999 chance of winning the prize.
b) If you purchase 10 tickets, the odds against winning would still be 999,990 to 1. Each individual ticket does not affect the number of tickets sold or the number of prizes awarded, so the odds remain the same.
To determine the odds against winning the lottery, we need to know the total number of tickets sold and compare it to the number of tickets you purchased. Let's break it down:
a) If you purchase a single ticket, the odds against winning can be calculated by dividing the number of tickets sold (1 million) by the number of tickets you purchased (1), which gives you a ratio of 1,000,000 to 1. This means you have a 1 in 1,000,000 chance of winning.
b) If you purchase 10 tickets, the calculation is the same. You divide the number of tickets sold (1 million) by the number of tickets you purchased (10), which gives you a ratio of 100,000 to 1. This means you have a 1 in 100,000 chance of winning.
In summary, the more tickets you purchase, the greater your chances of winning become. However, it's important to note that the odds of winning the lottery are typically very low, regardless of the number of tickets you buy.