(a) The odds that a particular horse will lose a b) The odds are 3 to 5 that a s
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(a) The odds that a particular horse will lose a b) The odds are 3 to 5 that a sequence of four coin tosses will 5 Some Rules of Probability race are 7 to 1 and two tails envelopes If a secretary randomly places six letters into six addressed are 1 to 719 that all letters will end up in the correct en (d) The odds are 2 to 17 for winning a roulette bet made by placin intersection of four number boxes. 533 Convert each of the following probabilities to odds: (0) The probability that the last digit of a postal zip code is 5,6.7,&rs; (b) The probability of randomly selecting the 8 letters alpha, beta, gamma epsilon, zeta, eta, theta from the 24 letters of the Greek alphabet is (e) The probability of getting 2 heads in 4 flips of a coin is (d) The probability of drawing a heart from a randomly shuffied deck of S2playn 24 16 ofdra cards is 13 5.34 If a student is anxious to bet $25 against $5 that she will pass a certain course, wa does this tell us about the probability she assigns to her passing the cournse? (Hi The answer should read "greater than . ...") 5.35 A politician states that the odds are 5 to 1 that he will not run for the House of 5.3%6 An automobile salesperson feels that the odds are 9 to 1 against her 5 , solved for p, yields p-+ Representatives and 4 to 1 that he will not run for the Senate. Furthermore, b feels that the odds are 1 to 2 that he will run for either of these offices. Are the corresponding probabilities consistent? selling a certam what should she car and 4 to 1 against her being able to lease it. To be consistent, w consider to be fair odds that she will either sell the car or lease it? 837 Verity algebraically that the formula 5.38 A gambler believes that the true odds favoring team Y in a coming game are 2. Which of the following bets would be attractive to him? (b) Bet $7 on team Y to win $3. (e) Bet $3 against team Y to win $7 (d) Bet $30 against team Y to win $70 A gambler feels that the probability is 0.60 that Punchy Joe w match. Which of the following bets would be attractive to her (a) Bet $6.00 on Punchy Joe to win 56.00. (b) Bet $6.00 on Punchy Joe to win $7.00. (c) Bet $600 on Punchy Joe to win $3.00. .39 Punchy Joe will win a certain bosing TION RULESExplanation / Answer
The student bets $ 25 against $ 5.
So the probability of her passing = 25 / (25+5) = 25/30 = 5/6
The student assigns a probability greater than 5/6 to her passing the course.
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