LP2­ mutually exclusive.notebook
April 01, 2016
Warm Up:
Set A is defined as the set of integers greater than 0 and less than 10. Set B is a subset of set A and is defined as all integers that are multiples of 2. a. Draw a Venn diagram to represent . 1
LP2­ mutually exclusive.notebook
Probability-
April 01, 2016
the chance that a given event will occur;
always falls between 0 and 1
theoretical probability-
empirical probability-
Which of the following situations would have an empirical probability
closest to the theoretical probability?
(a) flipping a coin 10 times
(b) flipping a coin 100 times
(c) rolling a die 5 times
(d) rolling a die 150 times
A spinner at a carnival game has sections of equal size. The table shows the results of several
spins. Find:
(a) Empirical & Theoretical P(red)
(b) Empirical & Theoretical P(orange)
COLOR
FREQUENCY
red
6
blue
7
yellow
9
orange
12
purple
5
green
11
2
LP2­ mutually exclusive.notebook
April 01, 2016
simple event- an event that has a single outcome
compound event- consists of two or more simple events. To find the probability, we must
determine if the events can occur at the same time.
mutually exclusive events- events that cannot occur at the same time
NOT Mutually Exclusive
Mutually Exclusive
RULES:
P(A or B) = P(A) + P(B)
P(A or B) = P(A) + P(B) - P(A and B)
There are 52 slots on a game wheel, numbered 1-52. Josh places a bet on all even
numbers, and Allan places a bet on the numbers 4, 6, 7, 11, and 15. What is the
probability of landing on an even number or 4, 6, 11, or 15?
There are 40 vehicles on a rental car lot. All are either sedans or SUVs. There are 18 red
vehicles, and 3 of them are sedans. There are 15 blue vehicles, and 9 of them are SUVs. Of
the remaining vehicles, all are black and 2 are SUVs. A vehicle is selected at random. Find:
(a) P(blue or black)
(b) P(red or SUV)
(c) P(black or sedan)
3
LP2­ mutually exclusive.notebook
April 01, 2016
4
LP2­ mutually exclusive.notebook
April 01, 2016
Homework:
5