In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20.
If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?
I'm quite stumped on this question as this may not be correct but there are 4 ways of "victory,"
you either get 2 white balls with no red ball,
get 3 white balls with no red ball,
get 2 white balls with a red ball,
get 3 white balls with a red ball,
get 1 white ball with a red ball,
get 0 white balls with a red ball.
I may be incorrect, can you please help me?