Embedded Files
For problems 1-5, express your answer both as a fraction (reduce if possible) and as a decimal to the nearest hundredth.
1) Suppose a single card is dealt from a standard deck of 52 cards. Find the probability that the card is:
a) a red card.
b) a face card.
c) an ace.
d) a three.
e) a club.
f) the three of clubs.
g) a black king.
h) not a spade.
2) A bag contains some jelly beans. There are a total of 6 red jelly beans, 4 green jelly beans, 2 black jelly beans, 5 yellow jelly beans, and 3 orange jelly beans in the bag. Suppose one jelly bean is drawn from the bag.
a) Find P(purple).
b) Find P(yellow).
c) Find P(~red).
3) A single 6-sided die is rolled one time. Find the probability that the result is:
a) a three
b) a seven
c) an even number
d) a prime number
e) a number equal to or greater than 5.
4) The game Scattegories® uses a 20-sided die. It has all the letters of the alphabet on it except Q, U, V, X, Y, and Z. Find each probability below if the die is rolled one time.
a) P(Vowel)
b) P(~Vowel)
c) P(Q)
d) P(Qc)
e) P(a letter alphabetically after Q)
[Figure9]
5) The month of October in a 2011 calendar has 31 days with October 1st being a Saturday as shown in the calendar on the following page. Suppose a day is randomly selected. Find each probability.
a) P(weekend)
b) P(not a weekend)
c) P(October 31st)
d) P(October 32nd)
e) P(~October 31st)
f) P(an odd-numbered day)
[Figure10]
6) A roulette wheel contains 38 slots. When the wheel is spun, a ball is dropped onto the wheel and the ball will stop on one of the slots. There are 18 black slots, 18 red slots, and 2 green slots. Suppose the ball on a roulette wheel has landed on red four times in a row. What is the chance that the ball will drop on red on the next spin?
[Figure11]
7) A coin has been flipped 10 times. Suppose that it has come up heads on only 2 out of those ten times.
a) What percent of the time has the coin come up heads?
b) Suppose we flip the coin 90 more times and 45 of those 90 flips come up heads. Of the 100 flips completed so far, what percent of the time has the coin come up heads?
c) Suppose we continue to flip the coin an additional 900 times and that 450 of those 900 flips come up heads. Of the 1000 flips completed, what percent of the time has the coin come up heads?
d) As we flipped the coin more and more, the percentage of heads got closer and closer to 50% despite the fact that only 2 of the first 10 flips were heads. What rule does this illustrate?
8) Two 6-sided dice are rolled and we keep track of the total on the two dice.
a) Make a 6 by 6 grid showing the different totals that you can get when rolling the two dice.
b) What is the probability that you get doubles?
c) What is the probability that you get a total of 7?
d) What is the probability that you get a total of at least 8?
[Figure12]
9) The high school concert choir has 7 boys and 15 girls. The teacher needs to pick three soloists for the next concert but all of the members are so good she decides to randomly select the three students for the solos.
a) In how many ways can the teacher select the 3 students?
b) What is the probability that all three students selected are girls?
c) What is the probability that at least one boy is selected?
10) A test begins with 5 multiple choice questions with four options on each question. It then has 5 true/false questions.
a) How many answer keys are possible?
b) What is the probability of getting every question correct if a student guesses on each question. Leave your answer as a fraction.
11) A lawn and garden store is moving locations and needs to move its riding lawn mowers to the new store. They have 8 mowers with 36-inch decks, 15 mowers with 42-inch decks, and 6 mowers with 48-inch decks that need to be moved. The trailer they are using can move a total of 8 mowers on each load so several trips will have to be made.
a) In how many ways can 8 mowers be randomly selected for the first load?
b) What is the probability that all the mowers with 48-inch decks get selected for the first load? Leave your answer as a reduced fraction.
c) What is the probability that the first load has exactly two 36-inch deck mowers, four 42-inch deck mowers, and two 48-inch deck mowers?
[Figure13]
Review Exercises
12) In how many ways can three students be selected for a committee if there are 11 students from which to select?
13) A hockey player needs new skates, a new helmet, and a new stick. Hockey Central has 5 brands of skates, 6 brands of helmets, and 8 brands of sticks. In how many different ways can the player select one of each item?
14) Two standard 6-sided dice are rolled and the results from the two dice are added together. Build a grid to determine which outcome is most likely to occur.
15) On a TV game show, three contestants must each pick a box which they believe contains the grand prize based upon clues given about each box. In how many different ways can this be done if there are 10 boxes from which to choose?
Image Attributions
Image Attributions
- [1]^ License: CC BY-NC 3.0
- [2]^ License: CC BY-NC 3.0
- [3]^ License: CC BY-NC 3.0
- [4]^ License: CC BY-NC 3.0
- [5]^ License: CC BY-NC 3.0
- [6]^ License: CC BY-NC 3.0
- [7]^ License: CC BY-NC 3.0
- [8]^ License: CC BY-NC 3.0
- [9]^ License: CC BY-NC 3.0
- [10]^ License: CC BY-NC 3.0
- [11]^ License: CC BY-NC 3.0
- [12]^ License: CC BY-NC 3.0
- [13]^ License: CC BY-NC 3.0
Page updated
Report abuse