SOLUTION: The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 51. (Order is important.) You are a winner if your sequence agrees with that in the
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Question 714975: The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 51. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.)
What is the probability of being a winner?
What is the probability of being a booby prize winner?
What is the probability that you are either a winner or a booby prize winner?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 51. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.)
What is the probability of being a winner?
Number of ways to win: 1
Number of possible outcomes: 52P4 = 6497400
P(winner) = 1/6497400
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What is the probability of being a booby prize winner?
# of ways to win: 4! - 1 = 23
# of possible outcomes: 5997600
P(booby) = 23/6497400
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What is the probability that you are either a winner or a booby prize winner?
Ans: 24/5997600
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Cheers,
Stan H.
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