Unformatted text preview: events; i.e., P [ a ] , P [ b ] , and P [ c ] . Problem 4. Show that (a) P [ A ∪ B ∪ C ] ≤ P [ A ] + P [ B ] + P [ C ] . (b) If A ∩ B = ∅ then P [ A ] ≤ P [ B c ] . Problem 5. How many sevendigit telephone numbers are possible if the first number is not allowed to be 0 or 1? Problem 6. Ordering a “deluxe” pizza means you have four choices from 15 available toppings. How many combinations possible if toppings can be repeated? If they cannot be repeated? Problem 7. A deck of cards contains 10 red cards numbered 1 to 10 and 10 black cards numbered 1 to 10. How many ways are there of arranging the 20 cards in a row? Suppose we draw the cards at random and lay them in a row. What is the probability that red and black cards alternate?...
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 Spring '08
 LORENZELLI
 Probability theory

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