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 the three white balls and the red SuperBall, then you win the jackpot. (You don't need to match the white balls in order). What is the probability that you win the jackpot?
+1005 This is from AoPS Intro To Counting, do not give full answers, partial ok.
I know because I did this one before.
+1005 What week and question number?
I will try to find it in one of my saved PDFs of the course.
+128407 Ways to choose 3 balls out of 10 = 10C3 = 120
Ways to choose 1 ball from 10 = 10
Does that help????
+773 There are 10C3 = 120 possibilities for the 3 white balls that are drawn (since we don't care about the order), and 10 possibilities for the SuperBall.
Hope this helps, whymenotsmart^m^. Guest, you can take it from here.
