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CSE 321 Section, Week 8

CSE 321 Section, Week 8. Natalie Linnell. How many ways are there to choose n bagels from 8 kinds when. n=6 n=12, with at least one of each. How many different strings can be made from the letters in ABRACADABRA, using all the letters?.

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CSE 321 Section, Week 8

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  1. CSE 321 Section, Week 8 Natalie Linnell

  2. How many ways are there to choose n bagels from 8 kinds when • n=6 n=12, with at least one of each

  3. How many different strings can be made from the letters in ABRACADABRA, using all the letters?

  4. What is the probability that a 5-card poker hand contains a straight, that is 5 cards that have consecutive kinds (note that the ace can be high or low, but there is no wrap-around)

  5. What is the probability of these events when we randomly select a permutation of the 26 lowercase letters of the English alphabet? • a immediately precedes m, which immediately precedes z in the permutation? • m, n, and o are in their original places in the permutation?

  6. Suppose that E and F are events such that p(E) = 0.7 and p(F) = 0.5. Show that p(E  F)≥0.7 and P(E  F)≥0.2

  7. What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads?

  8. Let E and F be the events that a family of 2 children has children of both sexes, and has at most one boy, respectively. Are E and F independent?

  9. Suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. That is, 2% of people who do not use opium test positive for opium, and 5% of opium users test negative for opium. Suppose that 1% iof people use opium. • Find the probability that someone who tests negative for opium does not use opium

  10. Suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. That is, 2% of people who do not use opium test positive for opium, and 5% of opium users test negative for opium. Suppose that 1% iof people use opium. • Find the probability that someone who tests positive for opium does use opium

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