Page 234, Review Exercises 2 Two cards will be dealt off the top of a well-shuff
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Page 234, Review Exercises 2 Two cards will be dealt off the top of a well-shuffled deck. You have a choice 1. (i) (ii) To win $1 if the firs is a king. To win S1 if the first is a king and the second is a queen. Which option is better? Or are they equivalent? Explain briefly. Page 234, Review Exercises 4 A poker hand is dealt. Find the chance that the first four cards are aces and the fifth is a king. Page 234, Review Exercises 8 A die is rolled four times. What is the chance that 2. 3. (a) All the rolls show 3 or more spots? (b) None of the rolls show 3 or more spots? (c) Not all the rolls show 3 or more spots? 4. Page 261, Review exercises 1 A die will be rolled 6 times. What is the chance of obtaining exactly 1 ace? 5. Page 262, Review exercises 10 A box contains 3 red tickets and 2 green ones. Five draws will be made at random. You win $1 it 3 of the draws are red and 2 are green. Would you prefer the draws to be made with or without replacement? Why? Assume that each of 8 gasoline pumps has a probability of 40% of being busy. What is probability that no more than two are busy? Page 306, Review exercises 12 One hundred draws are made at random with replacement from the box 6. 7. (a) The sum of the draws is 431. The expected value for the sum of the draws is . The observe value is the chance error is and the standar error is (b) The sum of the draws is 386. The expected value for the sum of the draws is The observe value isthe chance and the standar error is (c) The sum of the draws is 417. The expected value for the sum of the draws is The observe value is , the chance error is the standar anExplanation / Answer
1)
In the first case, the probability of winning $1 is 4/52=0.077
In the second case, the probability of winning $1 is 4/52.4/51=0.006
Hence choosing 1st Option has the better chance of winning.
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