Math 160 - Cooley Intro to Statistics OCC
Section 4.2 – Events
Sample Space – The collection of all possible outcomes for an experiment
Events – A collection of outcomes for the experiment, that is, any subset of the sample space.
Relationships Among Events
(not E): The event “E does not occur”
(A & B): The event “both A and B occur”
(A or B): The event “both A or B occur”
Mutually Exclusive Events
Two or more events are mutually exclusive events if and only if no two of them have outcomes in common.
J Exercises:
1) When a dime is tossed three times, there are the following 8 possible outcomes
HHH / THHHHT / THT
HTH / TTH
HTT / TTT
.
Here, for example, HTH represents the outcome that the first toss is heads, the second toss is
tails, and the third/last toss is heads.
a) List the outcomes consisting each of the following four events.
A = event exactly two heads are tossed.
B = event the first two tosses are tails.
C = event the first toss is heads.
D =event all three tosses come up the same.
b) List the outcomes that constitute the event (not B).
c) List the outcomes that constitute the event (A or C).
d) List the outcomes that constitute the event (A & C).
e) List the outcomes that constitute the event (C or D).
f) List the outcomes that constitute the event (C D).
The Sample Space for a standard (no jokers) deck of cards.
J Exercises:
Experiment – Draw a card from a standard deck of cards.
2) What is the probability that you draw a heart? ______
3) What is the probability that you draw a red card? ______
4) What is the probability that you draw a ‘7’? ______
5) What is the probability that you draw a club? ______
6) What is the probability that you draw a ‘5’ of clubs? ______
7) What is the probability that you draw a ‘9’ of moons? ______
8) What is the probability that you draw a face card? ______
9) For fun only: What is the probability that you draw a one-eyed jack? ______
10) For fun only: What is the probability that you draw a suicide king? ______
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