1. While on vacation you see that the local race track is offering a promotion t
ID: 2922446 • Letter: 1
Question
1. While on vacation you see that the local race track is offering a promotion to the first 100 people arriving for that days races. You have never been to the horse races, but decide to give it a try. You are in line for food and overhear a couple talking about how much money they won the previous week betting something called "Trifecta." You step out of line and decide you are going to do this Trifecta thing instead of buying a hot dog. You go to the ticket window and ask the cashier what Trifecta is.
He explains that in Trifecta, the player selects three horses as first, second, and third place winners. To win, those three horses must finish the race in the precise order the player has selected. You look at the board and see that there are only 9 horses in the race and decide this is a "sure thing." After the race is over and you are hungry and broke, you wish you had known this piece of information: How many possibilities for the Trifecta were there?
2. Saturday night is "carry out" night at your house and your favorite place is the BBQ Barn. The thing that makes them stand out is the amazing "Bubba's BBQ Sauce" that is included with the Belly Buster BBQ Plate. You place your order, get home and look in the bag and there is no Bubba's BBQ Sauce. You call the manager and he says he will look into the matter.
Four employees at the BB Barn pack the carry-out orders. John packs 45% of the dinners and forgets to include the sauce 4% of the time. Julia packs 25% of the carry-out orders and fails to include the sauce 2% of the time. Rhonda packs 30% of the dinners and doesn't include the sauce 3% of the time. Based on this information, what is the probability that John packed your dinner and forgot to include the sauce?
15.62%
56.25%
28.12%
55.55%
3. At a Texas college, 60% of the students are from the southern part of the state, 30% are from the northern part of the state, and the remaining 10% are from out-of-state. All students must take and pass an Entry Level Math (ELM) test. 60% of the students from southern Texas have passed the ELM, 70% of the students from the northern part of Texas have passed the ELM, and 90% of the out-of-state students have passed the ELM. What is the probability that a randomly selected student is from northern Texas and did not pass the ELM?
9%
36%
21%
1%
4. At a Texas college, 60% of the students are from the southern part of the state, 30% are from the northern part of the state, and the remaining 10% are from out-of-state. All students must take and pass an Entry Level Math (ELM) test. 60% of the students from southern Texas have passed the ELM, 70% of the students from the northern part of Texas have passed the ELM, and 90% of the out-of-state students have passed the ELM. If a randomly selected student is found to have passed the ELM, what is the probability that the student is from out-of-state?
70.6%
73.5%
13.6%
63.3%
5. The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on housing loans will go up in the same period is estimated to be 0.74. The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89. The probability that house sales will increase but interest rates will not during the next 6 months is:
6.5%
15%
51%
89%
15.62%
56.25%
28.12%
55.55%
Explanation / Answer
1) Since you have to choose 3 horses out of the 9 , for the 1st place you can choose any of the 9 horses. For the second place you can choose any of the 8 remaining horses and for the 3rd place, you can choose any of the 7 remaining horses. Therefore the total number of ways = 9 * 8 * 7 = 504 ways
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