1. Jill is playing cards with her friend when she draws a card from a pack of 20 cards numbered from 1 to 20. What is the probability of drawing a number that is a perfect square? 1, 4, 9, 16 are all perfect squares so 1/5 2. Each of the letters in the word SAMSUNG are on separate cards, face down on the table. If you pick a card at random, what is the probability that its letter will be S or U? P(S) = 2/7 P(U) = 1/7 2/7 + 1/7 = 3/7 3. A magician showed a magic trick where he picked one card from a standard deck. Determine what the probability is that the card will be a queen card or a black card? P(Q) = 4/52 P(B) = 26/52 P(Q∩B) = 2 4/52 + 26/52 – 2/52 = 28/52 = 7/13 4. A bag contains ten black marbles, twenty white marbles, and five grey marbles. You pick one and without replacing pick another. What is the probability that both marbles will be grey? 5/35 * 4/34 = 1/7 * 2/17 = 2/119 5. You ask a friend to think of a number from four to twelve. What is the probability that his number will be 8? 1/9 6. Each of letters in the word ALGEBRA are on separate cards, face down on the table. If you pick a card at random, what is the probability that you select an A, replace the card, and then select a B? 2/7 * 1/7 = 2/49 7. You roll a SIX sided die and flip a coin. What is the probability that the value of the roll will be one AND the coin will land on tales? 1/6 * ½ = 1/12 8. You roll a SIX sided die. What is the probability that the value of the roll will be even or the number will be less than 3? 3/6 + 2/6 – 1/6 = 4/6 = 2/3 9. A bag contains 5 blue sticks, 4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. What is the probability that the stick will be blue? 5/12 10. A bag contains 5 blue sticks, 4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. What is the probability that the stick will be yellow? 0 11. A bag contains 5 blue sticks, 4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. How many different ways can you choose 3 of them? 12 C 3 = 220 12. A bag contains 5 blue sticks, 4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. How many ways can they be lined up if the first one must be blue and the last one must be orange? 5 * 3 * 10! = 54432000 13. There are 12 kids in a classroom. How many ways can a line-up of the students be made? 12! = 479001600 14. There are 18 kids in a classroom. How many ways can a groups of 6 be made? 18 C 6 = 18564 15. There are 18 kids in a classroom. How many ways can a resource manager, a time keeper, and a team leader be selected? 18 P 3 = 4896 16. 15/35 people in the class have a dog. 12/35 people in the class have a cat. 7/35 people in the class have a dog and a cat. What is the probability that someone does not have a cat or a dog? 15/35 + 12/35 – 7/35 = 20/35 1 – 20/35 = 15/35 = 3/7 17. The Shoe store sells 9 different styles of running shoes, each available in 2 colors. How many combinations of color and style are there? 9*2 = 18 18. From a group of 9 different books, 4 books are to be selected and arranged on a shelf. How many arrangements are possible? 9 P 4 = 3024 19. How many different combinations are possible if 10 numbers are grouped five at a time? 10 C 5 = 252 20. How many four-digit numbers can be formed from the digits 2, 3, 4, 5, 6 & 7 without repetition? 6 P 4 = 360 21. How many ways can 20 compact discs be arranged in alphabetical order? 1 22. How many 4-digit arrangements can be created using the digits 5, 7, 8 and 2 if five must be the first number? 3! = 6 23. What is the probability that you roll an odd number above 5 on a 6 sided die? 0 24. Jerry deposited $20,000 on 20000 + (9-1)1750 = 34000 an investment that will give $1,750 for every year that his money stays in the account. How much money will he have in his account by the end of year 8? 25. A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? 26 + (32 – 1 )(4) = 150 32/2(26 + 150) = 2816 27. Evaluate the series related to 198 the sequence: 18, 24, 30, 36, 42, 48 26. Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on. If the daily wage keeps doubling, what will you total income be for working 31 days? (.01 - .01(2)31)/ (1 – 2) = 21,474,836.47 28. Evaluate the series related to the sequence: 2, -8, 32, -128, 512, -2048 -1638 1570 30. 29. -111974 31. 690 32. Evaluate the geometric series 719835 given: 33. Find the explicit formula given: -3, -8, -13, -18… an = 2 – 5n 34. Find the explicit formula given: 3, -6, 12, -24 an = 3* -2(n-1)

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