I need problem 10b answered with an explanation

Problem 10 In a popular weekly charity lottery the lottery player picks three numbers from a possible 30 numbers (numbered 1 to 30), "without replacement" (no repeating numbers). The weekly lottery offers two prizes as follows. If all three numbers picked by the player during any week matches the winning three numbers drawn that week (order of the numbers does not matter) then the player wins the top prize of $100,000. If the player's weekly pick matches two of the winning three numbers drawn, the player wins the second prize of $1,000. Problem 10a. If Player A purchases one weekly lottery ticket, find the probability of winning top prize. Show all your work. [ 3 marks] n CR = 30 - 3 : 301 ( 30 - 3 ) ! 3 ! = 30 x 29 x 29 x 271 271 x 3 *2 x 1 = 4060 Favorable outcome = 1 = 0. 0002 The probability of winning top prize is o, ooo2 and would be 4060 an unusual event. Problem 10b. If Player A purchases one weekly lottery ticket, find the probability of winning at least one of the two [3 marks] prizes. Show all your work