Suppose that neighborhood soccer players are selling raffle tickets for $500 worth of
groceries at a local store, and you bought a $1 ticket for yourself and one for your mother.
The children eventually sold 1,000 tickets.
(a) What is the probability that you will win?
(b) What is the probability that your mother will win?
.001 for both.
To find the probability of winning, we need to know the total number of tickets sold and the number of tickets that you purchased for yourself and your mother.
In this case, the total number of tickets sold is given as 1,000.
(a) Probability that you will win:
If you bought 1 ticket, then the probability of you winning is the number of tickets you bought divided by the total number of tickets sold.
In this case, the number of tickets you bought is 1, and the total number of tickets sold is 1,000.
So the probability that you will win is 1/1,000, which simplifies to 0.001 or 0.1%.
(b) Probability that your mother will win:
Similarly, if your mother bought 1 ticket, then the probability of her winning is the number of tickets she bought divided by the total number of tickets sold.
Since she also bought 1 ticket, the probability that your mother will win is 1/1,000, which is the same as your probability of winning.
So both (a) and (b) have a probability of 1/1,000 or 0.001 or 0.1%.