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 asking this again, because the original post did not have any correct answers. Link to original post: https://web2.0calc.com/questions/in-the-superlottery-three-balls-are-drawn-at-random
Here is my take on this one:
Matching two AND Superball
10 c 2 = 45
10 c 1 = 10 (for Superball) 45 * 10 = 450 possibles for matching TWO numbers correct and Super
Matching THREE and superball
10C3 = 120
10C1 = 10 (for Superball) 120*10 = 1200 possibles for matching THREE numbers and Super
YOU get ONE ticket 1 out of 450 + 1 out of 1200 + 1 out of 45 + 1 out of 120 + 1 out of 10
1/450 1/1200 1/45 1/120 1/10 = 481/3600
Different answer....I do NOT know if it is correct!