The Sad State Lottery Requires You to Select a Sequence $\frac { 1 } { 110,544 }$

The Sad State Lottery requires you to select a sequence of three different numbers from zero through 48. (Order is important.) You are a winner if your sequence agrees with that drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. What is the probability of being a winner What is the probability that you are either a winner or a booby prize winner

A) The probability of being a winner is $\frac { 1 } { 110,544 }$ . The probability of being either a winner or a booby prize winner is $\frac { 1 } { 18,424 }$ .

B) The probability of being a winner is $\frac { 1 } { 110,544 }$ .
The probability of being either a winner or a booby prize winner is $\frac { 3 } { 9,212 }$ .

C) The probability of being a winner is $\frac { 5 } { 110,544 }$ .
The probability of being either a winner or a booby prize winner is $\frac { 3 } { 9,212 }$ .

D) The probability of being a winner is $\frac { 5 } { 48 }$ .
The probability of being either a winner or a booby prize winner is $\frac { 3 } { 9,212 }$ .

E) The probability of being a winner is $\frac { 1 } { 18,424 }$ .
The probability of being either a winner or a booby prize winner is $\frac { 1 } { 18,424 }$ .