1. Describe two mutually exclusive events and two inclusive events.
2. Use the information on
page 730
to explain how probability applies to what teens do online. Include an explanation of whether the events listed in the graphic are mutually exclusive or inclusive.
12-5
Adding Probabilities
Main Ideas
. Find the probably
of mutually eaduse
. Find the probably
of indusive events
New Vocabulary
simple event
compound event
mataatiyattam
events
inclusive Events
GET READY for the Lesson
The graph shows the
results of a survey
What Teens do Online
about what teens do 100
online. Determining
30
the probability that a
randomly selected 60
teen sends/reads
40
e-mail or buys things
20
online requires
adding probabilities
0
SON
Messages
Reset
College
Bury Things
Mutually Exclusive Events When you roll a dir, an event such as rolling
al is called a simple event because it cannot be broken down into smaller
events. An event that consists of two or more simple events is called a
compound event. For example, the event of rolling an odd number or a
number greater than 5 is a compound event because it consists of the
simple events rolling a 1 rolling a 3, rolling a 5, or rolling a 6
When there are two events, it is important to understand how they are
related before finding the probability of one or the other event occurring
Suppose you draw a card from a standard deck of cards. What is the
probability of drawing a 2 or an ace? Since a card cannot be both a 2 and
an ace, these are called mutually exclusive events. That is, the two
events cannot occur at the same time. The probability of drawing a 2 or
an ace is found by adding their individual probabilities
P2 or ace) .P/2) + Place) Add probabilities
+
There are 4 tos and 4 aces in a deck.
Study Tip
Formula
This formula cabe
tended to any
number of my
odusive events.
Simplily
The probability of drawing a 2 or an ace is
KEY CONCEPT Probability of Mutually Exclusive Events
Words If two events, A and B are mutually exclusive, then the probability
that A or Boccurs is the sum of their probabilities.
Symbols PA or B) – PA) + P(B)
710 Chapter 12 Probability and Statistics
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