A lottery is selling 1500 tickets for the chance to win 60 prizes offered. The grand prize is $1000 dollars. I purchased 6 tickets. What are my chances of winning 1 of the 60 prizes? What is my chances of winning the $1000 dollars? The $1000 is 1 of the 60 prizes.
2006-07-17 18:41:45 · 8 answers · asked by happydawg 6 in Science & Mathematics ➔ Mathematics
Thanks for all the great answers. I will let you know if I won anything.
2006-07-18 03:49:20 · update #1
6(60)/1500 = 360/1500 = 36/150 = 6/25
6/1500 = 1/250
2006-07-17 18:52:30 · answer #1 · answered by MsMath 7 · 0⤊ 0⤋
It would depend on how many tickets were sold. But it sounds to me like you have a 6 in 1500 chance of winning any of the prizes. That would include the $1000. If you reduce it you'd have a 1 in 250 chance.
If all 1500 tickets are not sold then your chances will go up.
For instance if only 1000 tickets are sold you'll have a 6 in 1000 or 1 in 167 chance.
Since the $1000 is one of the 60 prizes then you have an equal chance of winning it as you do of winning any of the other prizes.
The fact that there are 60 prizes probably reduces your chances but I don't know how to do that math.
2006-07-18 01:53:41 · answer #2 · answered by asterisk_dot_asterisk 3 · 0⤊ 0⤋
chance of winning 1 of 60 prizes is 60/1500
chance of winning 1 grand prize is 1/1500
if we buy 6 tickets so our chance of winning 1 of 60 prizes will be
= 6 x 60/1500 = 24%
and our chance to win $1000 grand prize will be
= 6 x 1/1500 = 2.4%
2006-07-18 06:42:03 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Winning $1000 - 6/1500 i.e. 1 in 250 = 2.4%and (it is 1/1500 for each and will add with each ticket). For each ticket there is a 1 in 25 chance of winning at least one prize; with 6 of the tickets there is 6/25 (24%) chance of at least winning a prize; that means that you could as well get more prizes. For exactly winning 1 prize the chance will be
1 - (24/25)^6 (about 21.72%).
2006-07-18 01:58:38 · answer #4 · answered by arvind_vyas 3 · 0⤊ 0⤋
the chance of winning one of the 60 price = 6*60*100/1500
= 24%
the chance of winning the grand prize = 0.4%
2006-07-18 02:21:38 · answer #5 · answered by M. Abuhelwa 5 · 0⤊ 0⤋
Less than 1 percent for any prize.
2006-07-18 01:55:56 · answer #6 · answered by Anonymous · 0⤊ 0⤋
The point of homework is that you do it yourself, and LEARN something, not that you post it on Yahoo answers and copy the answer then give it to your teacher.
At least you're honest about it, that's something. Were that it had not been answered already I might actually help you.
2006-07-18 03:16:42 · answer #7 · answered by tgypoi 5 · 0⤊ 0⤋
you have no chance, because you haven't bought yet
2006-07-18 01:45:38 · answer #8 · answered by Dark Angel 5 · 0⤊ 0⤋