676 CHAPTER 11 Probability Exercises Warm Up Exercises In Exercises 1–8, fill in the blank with an appropriate word, phrase, or symbol(s). 1. The ratio of the probability that an event will fail to occur to the probability that the event will occur is called the odds ________ an event. Against 2. The ratio of the probability that the event will occur to the probability that the event will fail to occur is called the odds ________ an event. In favor of 3. If the odds in favor of Haikal winning a horse race are 1 : 4, then the odds against Haikal winning the race are ________. 4:1 4. If the odds against winning at Splendor are 5 : 1, then the odds in favor of winning at Splendor are ________. 1: 5 5. If the probability that an event will occur is 2 3 then the probability that the event will not occur is , 1 3 and the odds in favor of the event occurring are ________. 2:1 6. If the probability that an event will fail to occur is 1 5 then the probability that the event will occur is , 4 5 and the odds against the event occurring are ________. 1:4 7. If the odds against an event are 1:3, the probability that the event will fail to occur is ________. 1 4 8. If the odds in favor of an event are 2:5, then the probability that the event occurs is ________. 2 7 Practice the Skills/Problem Solving 9. Raffle Drawing Tito purchased one raffle ticket as part of a Meals on Wheels fundraiser. The grand prize–winning ticket will be randomly drawn from 100 tickets sold. Determine a) the probability that Tito wins the grand prize. 1 100 b) the probability that Tito does not win the grand prize. 99 100 c) the odds against Tito winning the grand prize. 99:1 d) the odds in favor of Tito winning the grand prize. 1:99 10. Workshop Drawing Those attending the annual Suncoast Music Workshop have their names entered into a random drawing for one free registration for next year’s workshop. Altay is one of 133 attendees. Determine a) the probability that Altay will win the free registration. 1 133 b) the probability that Altay will not win the free registration. 132 133 c) the odds against Altay winning the free registration. 132 :1 d) the odds in favor of Altay winning the free registration. 1:132 11. Phone Chargers A store has a bin full of phone chargers of various colors. There are 8 red, 10 white, 6 blue, and 12 pink chargers in the bin. If Kat randomly selects one of the chargers, determine a) the probability that Kat selects a pink charger. 1 3 b) the probability that Kat does not select a pink charger. 2 3 c) the odds against Kat selecting a pink charger. 2:1 d) the odds in favor of Kat selecting a pink charger. 1:2 12. Making a Donation In her wallet, Tasha has 12 bills. Six are $1 bills, two are $5 bills, three are $10 bills, and one is a $20 bill. She passes a volunteer seeking donations for a charity and decides to randomly select one bill from her wallet and donate it. Determine a) the probability that she selects a $5 bill. 1 6 b) the probability that she does not select a $5 bill. 5 6 c) the odds in favor of her selecting a $5 bill. 1:5 d) the odds against her selecting a $5 bill. 5:1 Roll a Die In Exercises 13–16, a fair die is rolled. Determine the odds against rolling 13. a 2. 5:1 14. an even number. 1 : 1 15. a number less than 5. 2:4or1:2 16. a number greater than 4. 4:2or2:1 Deck of Cards In Exercises 17–20, one card is drawn from a standard 52-card deck. Determine the odds against and the odds in favor of selecting 17. a jack. 12:1,1:12 18. a diamond. 3 : 1, 1 : 3 19. a face card. 10 : 3, 3 :10 20. a card greater than 5 (ace is low). 5 : 8, 8 : 5 SECTION 11.2 Ground Picture/Shutterstock
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