Data Analysis & Probability 11. Again, using the word Farmington, what is P(not n)? Remember: Name ______ Probabilities are always between or equal to 0 and 1. (0 or 0% means never) & (1 or 100% means In problems #12 - #14, find the number of possible choices always) when you choose one item from each category.  When finding probabilities, the fractions should always be reduced to lowest terms. (You can 12. 10 video games, 4 CDs, 5 books reduce using the “math” function on your calculator!) 13. 10 flavors of ice cream, 2 cones  In probability, the word “and” means to multiply.

 The word “or” means to add. If there is an overlap 14. 8 cars, 5 colors, 2 transmissions, 3 interiors in the data, then be certain to only count the data 1 time. (Subtract the overlap.) 15. There are 9 books in a box. How many different ways can these books be lined up on a shelf? In the probability problems below, all events are to be considered equally likely. Write the probabilities in 16. Given the word, complex, how many different ways fraction form unless asked otherwise. can the letters be arranged?

In problems #1 - #6, a number cube has 6 sides. The sides 17. How many different ways can the letters in the are numbered 1 to 6. If the cube is thrown once: word terrific be arranged?

1. What is the probability of rolling an even number that is greater than 2, P(even > 2)? For problems #16 - #18, use the following information. There are 26 boats in a race. There are no ties. You are 2. P(not a 4)? racing Boat #77. Your best friend is racing Boat #10.

st nd 3. What is the probability of rolling a prime number? 18. In how many ways can the boats come in 1 , 2 , rd (Is 1 a prime #? NO! Prime #s have exactly two and 3 place? factors – the number & 1.) 19. What is the likelihood that you will place 3rd? 4. P(less than 1)? 20. What is the probability that either you or your st 5. P(2 or 3)? friend will place 1 ?

6. P(odd or 4)? In a mall, 2,146 shoppers were asked, “How often do you buy shoe polish?” Here is how they responded. (Round answers to the hundredths place.) 7. A bag contains 2 yellow, 9 red, 18 blue, 13, and 14 purple marbles. What is the probability of pulling Purchased Shoe out a red marble? Polish 16 – 29 yrs 30 – 49 yrs 50 yrs & older Regularly 96 222 189 8. A number cube has 6 sides. The sides have Occasionally 480 364 402 numbers 1, 8, 5, 8, 4, and 8. If the cube is thrown Never 224 108 61 once, what is the probability of rolling a number 5 or the number 8? 21. What is the sample size?

9. The same cube from #8 is thrown again, what is 22. What is the likelihood that a person under the age P(a composite number)? of 50 purchases shoe polishes regularly?

10. If one letter is chosen at random from the word 23. What is the probability that a person between the Farmington, what is the probability that the letter ages of 30 and 49 never purchases shoe polish? chosen in an “n”? 24. Find the probability that a person, randomly selected, occasionally buys shoe polish. supermarket between 10 A.M. and 2 P.M. Is this a 25. What is probability that a person never buys good sample? Explain. polish, given that he or she is 16 to 29 years old? 35. A deck of cards has 5 orange, 6 green, and 4 pink 26. You are playing the “shell” game. In this game, cards. You pick 3 cards from the deck. Cards are there is an object (let’s say a coin) hidden beneath not returned after they are picked. one of four cups and you have to try and guess Find P(orange, green, then orange). which cup it is under. Assuming the game is fair, what is the probability you will guess correctly on 36. You have five pennies, six nickels, and ten dimes in the first try? a piggy bank. If you turn the bank upside down and shake it until a coin comes out of the slot, what is the probability that you will get out two pennies Problems #27 - #29. You roll a cube that has the in a row? numbers 13, 18, 18, 21, 21, and 14 on it. You then spin a spinner that has 8 equally divided sections. The 37. A glass jar contains 6 red, 5 green, 8 blue and 3 letters are A, F, B, A, C, K, yellow marbles. If a two marbles are chosen at E, and K. random from the jar without replacement, what is the probability of choosing a red and a yellow 27. Are these independent or dependent events? marble? Explain.

28. Find P(B and 14).

29. P(even # and then section C or H)? 38. Jonathon does not know the answer to two questions on a multiple-choice exam. The first 30. P(vowel or the letter E)? question has four choices and the second question he does not know has six choices. What is the probability that he will get both questions wrong? 39. There are 427 Juniors at Farmington High School. Use the piechart to answer problems #31 - #33. 40. Using a standard deck of 52 cards, find the likelihood of randomly selecting a king or a heart.

41. What is the probability of choosing a vowel from the alphabet?

On a recent test, Mrs. Evans students earned the grades illustrated on the bar graph.

31. What is the probability that a Junior, randomly selected, is in either Geometry or Algebra 2?

32. What is the likelihood that a Junior is not in Pre Calculus?

33. According to this data, what is the probability that a FHS Junior is not taking a math class

42. What is the likelihood that a randomly selected 34. A researcher wants to find out what brand of student earned an A? tomato sauce is most popular with people who work full-time. He samples shoppers at a 43. P(< 60)?

44. P(B or C)?