Simple Algebra equations , math homework help

Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it.

1. OPEN ENDED Describe two real-life events that are dependent.
2. OPEN ENDED Describe two mutually exclusive events and two inclusive events.
3. Writing in Math 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.

Page 730 attached

12-5
Adding Probabilities
GET READY for the Lesson
Main Ideas
What Teens do Online
. Find the probability
of mutually exclusive
events.
• Find the probability
of inclusive events.
100
89
80
76
75
The graph shows the
results of a survey
about what teens do
online. Determining
the probability that a
randomly selected
teen sends/reads
e-mail or buys things
online requires
adding probabilities.
60
57
New Vocabulary
Teens
43
40
20
simple event
compound event
mutually exclusive
events
inclusive events
0
E-mail
current
ve og
News Events stant
Messages march
Buy Things
Source: pewinteme.org
Activity
Mutually Exclusive Events When you roll a die, an event such as rolling
a 1 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 acc? 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.
P(2 or ace) = P(2) + Place) Add probabilities.
– ਡ +ਫੈਡ
There are 4 twos and 4 aces in a deck.
=
2
or
13
Simplify.
The probability of drawing a 2 or an ace is
Study Tip
Formula
KEY CONCEPT
Probability of Mutually Exclusive Events
This formula can be
extended to any
number of mutually
exclusive events.
Words If two events, A and B, are mutually exclusive, then the probability
that A or B occurs is the sum of their probabilities.
Symbols P(A or B) = P(A) + P(B)