The Language of Argument

2 5 2

C HaP Te r 1 1 ■ C h a n c e s

Suppose there are two little lotteries in town, each of which sells exactly one

hundred tickets.

1. If each lottery has only one winning ticket, and you buy two tickets to the
   same lottery, what is the probability that you will have a winning ticket?


2. If each lottery has only one winning ticket, and you buy one ticket to each
   of the two lotteries, what is the probability that you will have at least one
   winning ticket?


3. If each lottery has only one winning ticket, and you buy one ticket to each
   of the two lotteries, what is the probability that you will have two winning
   tickets?


4. If each lottery has two winning tickets, and you buy one ticket to each of
   the two lotteries, what is the probability that you will have at least one
   winning ticket?


5. If each lottery has two winning tickets, and you buy two tickets to the same
   lottery, what is the probability that you will have two winning tickets?


6. If each lottery has two winning tickets, and you buy two tickets to the same
   lottery, what is the probability that you will have at least one winning ticket?

exercise iV

Compute the probability of making the following draws from a standard fifty-

two-card deck:

1. Drawing either a seven or a five on a single draw.


2. Drawing neither a seven nor a five on a single draw.


3. Drawing a seven and then, without returning the first card to the deck,
   drawing a five on the next draw.


4. Same as 3, but the first card is returned to the deck and the deck is
   shuffled after the first draw.


5. Drawing at least one spade in a series of three consecutive draws, when
   the card drawn is not returned to the deck.


6. Drawing at least one spade in a series of four consecutive draws, when
   the card drawn is not returned to the deck.


7. Same as 6, but the card is returned to the deck after each draw and the
   deck is reshuffled.


8. Drawing a heart and a diamond in that order in two consecutive draws, when
   the first card is returned to the deck and the deck is reshuffled the first draw.


9. Drawing a heart and a diamond in any order in two consecutive draws, when
   the first card is returned to the deck and the deck is reshuffled the first draw.


10. Drawing a heart and a diamond in any order in two consecutive draws,
    when the first card is not returned to the deck after the first draw.

exercise iii

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