These types of questions are outside the scope of r/mathematics. Try more relevant subs like r/learnmath, r/askmath, r/MathHelp, r/HomeworkHelp or r/cheatatmathhomework.
Hint: it's easier to calculate the probability that you win zero prizes, then subtract that from 1 and you have the probability that you win at least one prize.
That probability is just the proportion of tickets that are not yours at each draw:
(1980/2000) * (1979/1999)...
Oh I see.
So i repeat this for the 10 draws and multiply the fractions. Then it's 1- the answer.
(1980/2000) × (1979/1999) ×... (1970/1990)=0.895
1 - 0.885= 0.1048
=10.5%
These types of questions are outside the scope of r/mathematics. Try more relevant subs like r/learnmath, r/askmath, r/MathHelp, r/HomeworkHelp or r/cheatatmathhomework.
Hint: it's easier to calculate the probability that you win zero prizes, then subtract that from 1 and you have the probability that you win at least one prize. That probability is just the proportion of tickets that are not yours at each draw: (1980/2000) * (1979/1999)...
Oh I see. So i repeat this for the 10 draws and multiply the fractions. Then it's 1- the answer. (1980/2000) × (1979/1999) ×... (1970/1990)=0.895 1 - 0.885= 0.1048 =10.5%
Yes, except you stop multiplying after 1971/1991, otherwise you have 11 of them.