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Quiz 5 Review Sheet—Probability
Name: ________________________________
Vocabulary—Use your notes to find the exact answer that fits each blank.
Probability
1. ____________________ is the chance of an event occurring.
probability
experiment
2. A ________________________ _______________________ is the chance process that leads
to well-defined results called outcomes.
3. The result of a single trial in a probability experiment is called an
outcome
______________________.
4. The set of all possible outcomes of a probability experiment is called the
sample __________________.
space
_________________
event
5. A subset of the sample space is called an _____________________.
simple
6. An event with only one possible outcome is a ___________________________
event.
compound
7. An event with more than one possible outcome is a ___________________________
event.
Classical
probability
8. _________________________ __________________________ uses sample spaces to
determine the numerical probability that an event will happen.
Empirical
probability
9. _________________________ __________________________ is based on the observations
obtained from an experiment.
Subjective __________________________
probability
10. _________________________
uses a probability value based
on an educated guess or estimate, utilizing opinions and approximate information
tree
diagram
11. A _____________ __________________ is a probability illustration that originates from a
starting point, and has vertical “levels” for each trial displaying the possible outcomes
for that level originating at each of the possible outcomes from the previous trial.
12. The set of all outcomes in a sample space that are NOT included in the event is the
complement
_____________________________.
Work Problems—answer each question fully.
Tree Diagram:
13. Identify the sample space using a tree diagram to find all possible outcomes of
flipping a dime, then picking a card to determine the suit (diamond, heart, spade,
club), then flip a penny. Be sure to write out the sample space.
START
Heads
Tails








H T H T H T H T
H T H T H T H T
Sample Space:
S={HH, HT, HH, HT, HH, HT, HH, HT, TH, TT, TH, TT, TH, TT, TH, TT}
Types of Probability—classify as an example of classical, empirical, or subjective probability.
14. Michelle buys a bag of candy and 16 out of the total 51 pieces of candy are blue.
empirical
________________________________
15. Salvador has a 7/13 probability of selecting a red card or a 7 out of the deck.
classical
______________________________
16. After walking through the lunch room it appears that around 70% of the students
subjective
purchase a school lunch. __________________________________
Probability Examples: Solve the following using the Addition Rule or Probability.
In a handful of Fruity O’s cereal there are 4 blue, 6 orange, 3 green, 2 red, 4 yellow, and 5
purple.
17. Find P(not purple).
19. Find P(orange).
𝟔
𝑷 𝒏𝒐𝒕 𝒑𝒖𝒓𝒑𝒍𝒆 =
18. Find P(blue or green).
𝟏𝟗
𝟐𝟒
𝟒
𝟑
𝟕
+
=
𝟐𝟒 𝟐𝟒 𝟐𝟒
𝑷 𝒐𝒓𝒂𝒏𝒈𝒆 =
𝟐𝟒
20. Find P(orange or red or yellow).
𝒐𝒓𝒂𝒏𝒈𝒆 𝒐𝒓 𝒓𝒆𝒅
𝒐𝒓 𝒚𝒆𝒍𝒍𝒐𝒘
𝟔
𝟐
𝟒
+
+
𝟐𝟒 𝟐𝟒 𝟐𝟒
𝟏𝟐
Given a bag of marbles with 7 red marbles numbered 1-7 and 8 black marbles numbered
=
1-8 find:
𝟐𝟒
𝑷 𝒃𝒍𝒖𝒆 𝒐𝒓 𝒈𝒓𝒆𝒆𝒏 =
21. P(less than 3 or greater than 5)
𝟒
𝟓
𝟗
𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟑 𝒐𝒓
𝑷
=
+
=
𝒈𝒓𝒆𝒂𝒕𝒆𝒓 𝒕𝒉𝒂𝒏 𝟓
𝟏𝟓 𝟏𝟓 𝟏𝟓
22. P(black or greater than 6)
𝟖
𝟑
𝟐
𝟗
𝒃𝒍𝒂𝒄𝒌 𝒐𝒓
𝑷
=
+
−
=
𝒈𝒓𝒆𝒂𝒕𝒆𝒓 𝒕𝒉𝒂𝒏 𝟔
𝟏𝟓 𝟏𝟓 𝟏𝟓 𝟏𝟓
23. P(even or less than 5)
𝟕
𝟖
𝟒
𝟏𝟏
𝒆𝒗𝒆𝒏 𝒐𝒓
𝑷
=
+
−
=
𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟓
𝟏𝟓 𝟏𝟓 𝟏𝟓 𝟏𝟓
Using a standard deck of cards find:
27. P(black or queen)
𝟐𝟔 𝟒
𝟐
𝟑𝟖
𝑷 𝒃𝒍𝒂𝒄𝒌 𝒐𝒓 𝒒𝒖𝒆𝒆𝒏 =
+
−
=
𝟓𝟐 𝟓𝟐 𝟓𝟐 𝟓𝟐
28. P(10 or Ace)
𝟒
𝟒
𝟖
𝑷 𝟏𝟎 𝒐𝒓 𝑨𝒄𝒆 =
+
=
𝟓𝟐 𝟓𝟐 𝟓𝟐
𝑷
=
24. P(red or greater than 7)
𝟕
𝟏
𝟖
𝒓𝒆𝒅 𝒐𝒓 𝒈𝒓𝒆𝒂𝒕𝒆𝒓
=
+
=
𝟏𝟓 𝟏𝟓 𝟏𝟓
𝒕𝒉𝒂𝒏 𝟕
25. P(a 2 or a 6)
𝟐
𝟐
𝟒
𝒂 𝟐 𝒐𝒓
𝑷
=
+
=
𝒂𝟔
𝟏𝟓 𝟏𝟓 𝟏𝟓
26. P(even or black)
𝟕
𝟖
𝟒
𝟏𝟏
𝒆𝒗𝒆𝒏 𝒐𝒓
𝑷
=
+
−
=
𝒃𝒍𝒂𝒄𝒌
𝟏𝟓 𝟏𝟓 𝟏𝟓 𝟏𝟓
𝑷
29. P(face card or red)
𝑷 𝒇𝒂𝒄𝒆 𝒄𝒂𝒓𝒅 𝒐𝒓 𝒓𝒆𝒅 =
30. P(10 or even)
𝑷 𝟏𝟎 𝒐𝒓 𝒆𝒗𝒆𝒏 =
Complement: Picking a number from 1-15; P(multiples of 4)
𝟑
𝒎𝒖𝒍𝒕𝒊𝒑𝒍𝒆𝒔
𝑷
=
31. Find P(E)= _________
𝒐𝒇 𝟒
𝟏𝟓
𝟏𝟐
𝒎𝒖𝒍𝒕𝒊𝒑𝒍𝒆𝒔
𝑷 𝑵𝑶𝑻
=
32. Find P(E’)= _________ 𝒐𝒇 𝟒
𝟏𝟓
𝟑 𝟏𝟐 𝟏𝟓
+
=
=𝟏
𝟏𝟓 𝟏𝟓 𝟏𝟓
33. What is P(E)+P(E’)= _________
𝟏𝟐 𝟐𝟔 𝟔
𝟑𝟐
+
−
=
𝟓𝟐 𝟓𝟐 𝟓𝟐 𝟓𝟐
𝟒 𝟐𝟎 𝟒
𝟐𝟎
+
−
=
𝟓𝟐 𝟓𝟐 𝟓𝟐 𝟓𝟐