Compound Events

1
Compound Events

• Algebra A
• Page 224

2
Compound Events
A compound event is an event consisting of two or
more simple events that are connected by the
words and or or Examples tossing a die and
rolling a 5, picking a seven from a deck of
cards, or flipping a coin and having a heads show
up.
3
Independent Events
Independent events are events in which the
occurrence of the events will not affect the
probability of the occurrence of any of the other
events.
What would dependent events be?
4
(No Transcript)
5
P(A and B) P(A) P(B)
M U L T I P L Y
6
USE SCREEN SHADE FOR EXAMPLES
7
tree diagram also work for this kind of problem
Example given a yellow, red, and blue crayon,
find P of randomly selecting a red crayon and
rolling a 6.
Since there are three choices for the color and
six choices for the die, there are eighteen
different results. Out of these, only one gives
a combination of red and 6. Therefore, the
probability of picking a red crayon and rolling a
6 is given by
8
If two events are mutually exclusive, they cannot
occur simultaneously.
9
Sometimes events are connected by the word OR but
are not mutually exclusive. For instance, it can
rain on both Saturday and Sunday. You want to
find the chance of rain over the weekend.
Because it could rain BOTH Saturday and Sunday,
these are not mutually excusive events. These
are called ____ _____.
INCLUSIVE EVENTS
10
A D D
11
(No Transcript)
12
A D D then subtract overlap
13
(No Transcript)
14
this one is the most common type of compound
probability
15
(No Transcript)