Name: _______________________________________________Period:________
Introductory Statistics
Study Guide 3.1B, 3.1C, 3.1D, 3.2A, and 3.2B
1. The probability of an event occurring is always a number from ________ to ________.
2. Determine if each of the following could be a possibly probability measurement.
a)
3.
–0.34
b)
1.08
c)
0.87
Determine if each of the following are Independent or Dependent events.
a) Tossing a coin and drawing a card from a deck of cards
b) Choosing card out of the deck, not replacing it, and then choosing another card
c) Being left handed and having a cold
4.
In a box of cupcakes there are 5 with Red icing, 4 with Yellow icing, 9 with Blue
icing, and 3 with Green icing.
a)
What is the probability of randomly selecting a cupcake with Yellow icing?
b) What is the probability of randomly selecting a cupcake that does not have Red
icing?
5. Use the Wheel of Fortune spinner to the right
to answer questions A – C.
A. What is the probability of spinning Bankrupt?
B. What is the probability of spinning
an amount at least $800?
C. What is the probability of not spinning Lose A Turn?
6.
A package of M&Ms contains 144 that are Orange and 354 that are Not Orange.
If you randomly select one M&M from the package, what is the probability you will
select an Orange M&M?
7.
The table below lists the color of cars entering a school parking lot. Use this
information to answer questions A and B.
Color
Number
White
20
Silver
14
Red
12
Black
8
Blue
11
Green
12
A) What is the experimental probability that the next car will be White?
B) What is the experimental probability that the next car will be Red?
8.
Use the Frequency Distribution below to answer the questions A and B
Employee Age
15 – 24
25 – 34
35 – 44
45 – 54
55 – 64
65 – 74
Frequency
59
325
227
185
120
42
Σf = 958
A) Find the experimental probability that a randomly selected employee is between
the ages of 45 and 54.
B) Find the experimental probability that a randomly selected employee is at most
44 years old.
9.
A student is asked 3 questions. Their grade level (Senior, Junior, Sophomore or
Freshman), their gender (Male or Female), and if they play an instrument (yes or
no). Use this information to answer questions A and B.
A) Find the probability the student is a Freshman. (Use a tree diagram if helpful)
B) Find the probability the student is a Junior and plays an Instrument.
10.
You roll 3 die. Find the probability of getting the same number on all 3.
11.
A password consists of 3 letters. The letters can’t repeat. If you forget your
password, and randomly guess, what is the probability you will get it correct?
12. You randomly select 2 cards from a deck of cards, one after the other, and do not
put the first one back in. Find the probability of selecting a 5 on the second card,
given the first card was a 5 of clubs.
13. The table shows the results of a survey in which 90 dog owners were asked how
much they have spent in the last year for their dog’s health care, and whether their
dogs were purebred or mixed breeds. Use the table to answer questions a and b.
Less than $100
$100 or more
Total
Purebred
19
35
54
Mixed Breed
21
15
36
Total
40
50
90
a) Find the probability that a randomly selected person spent $100 or more on their
dog’s health care, given they had a Purebred.
b) Find the probability that a randomly selected person had a Mixed Breed given they
spent Less than $100 on their dog’s health care.
14. You Toss a Coin and spin the spinner below. Find the probability of tossing a Tail on
the coin and spinning a 3 on the spinner.
15. You randomly choose 2 cards out of a standard deck of cards, in succession. You do
not put the first card back in. Find the probability of choosing a Red Card and then a
Black Card.
16. The probability that a particular surgery is successful is 78%. A surgeon has 3 of
these surgeries scheduled for the day. Find the probability that all three surgeries are
successful.
17. The probability that a particular surgery is successful is 78%. A surgeon has 3 of
these surgeries scheduled for the day. Find the probability that all three surgeries are
not successful.
18. A jar contains 5 oatmeal cookies, 10 sugar cookies, and 7 peanut butter cookies.
Two cookies are randomly chosen in succession, without replacement. Find the
probability of choosing a peanut butter cookie and then a sugar cookie.
19.
A die is tossed 5 times. Find the probability of getting a 4 all five times.