1. 1/2, 1/6, 1/6, 1/6 1)If you spin once, what is the probability of getting each dollar amount (fractions)? 2) If you spin twice, what is the probability of getting $100 and then $200? 3) If you spin twice, what is the probability of getting a sum of $600? 1/12 $100 $200 $300 $400 60° 90° 1/12

2. Benchmark #1-10 a)2y b)4xy + 2y 2 c)4xy d)0 c

3. Benchmark #1-11 a)b) c) d) b At Masterson Department Store, they issue prices for their clothing using polynomials and the variable x. The following is a sample listing of their prices. If Heather wants to buy three pairs of pants, one pair of shoes, and two dresses, how much will her total bill be?

4. Benchmark #1-12 a)b) c) d) b Divide.

5. Math I UNIT QUESTION: How do you use probability to make plans and predict for the future? Standard: MM1D1-3 Today’s Question: When do you find the expected value of an experiment? Standard: MM1D2.d.

6. 6.5 Expected Value A collection of outcomes is partitioned into n events, no two of which have any outcomes in common. The probabilities of the n events occurring are p 1, p 2, p 3,..., p n where p 1 + p 2 + p 3 + p n = 1. The values of the n events are x 1, x 2, x 3,..., x n. E = p 1 x 1 + p 2 x 2 + p 3 x 3 +... + p n x n

7. Example 1 A person is rolling a die. They will be paid the dollar value equal to the number of dots on the die (i.e. roll a 6, make $6). What would be the expected value of a single roll? E = 1/6(1) + 1/6(2) + 1/6(3) + 1/6(4) + 1/6(5) + 1/6(6) =21/6 = $3.50

8. Example 2 Find the expected value. EP(E) 1.20 2.30 3.10 4.40 E = 1(.20) + 2(.30) + 3(.10) + 4(.40) = 2.7

9. Example 3 You take an exam that has 4 possible answers for each question. You gain 3 points for each correct answer, lose 1 point for each incorrect answer, and do not gain or lose points for blank answers. If you do not know the answer to a question is it to your advantage to guess the answer? E = (3)(1/4) + (-1)(3/4) = 0

10. Example 4 At a raffle, 2500 tickets are sold at $5 each for 3 prizes of $1000, $500, and $100. You buy one ticket. What is the expected value of your gain? E = 995(1/2500) + 495(1/2500) + 95(1/2500) + (-5)(2497/2500) = -$4.36 Gain,x$995$495$95-$5 Prob, p 1/2500 2497/ 2500

11. Homework Page 357 #1-7 and Review for Quiz