Answer:
Total number of tickets sold by children = 1000
You bought a $1 ticket for yourself and one for your mother.
(a)What is the probability that you will win?
As you have 1 ticket so you have 1 in 1000 chances of winning.
P( you winning ) =
= 0.001
(b) What is the probability that your mother will win?
As the mother also has 1 ticket, she also have a 1 in 1000 chances to win.
P( mother winning ) =
= 0.001
(c) What is the probability that you or your mother will win?
Now you have a total of 2 chances to win.
P( you or mother ) =
= 0.002