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“Countries List by Continent.” Worldatlas, 2013. Available online at http://www.worldatlas.com/cntycont.htm (accessed May 2, 2013).
In this module we learned the basic terminology of probability. The set of all possible outcomes of an experiment is called the sample space. Events are subsets of the sample space, and they are assigned a probability that is a number between zero and one, inclusive.
A and B are events
P ( S ) = 1 where S is the sample space
0 ≤ P ( A ) ≤ 1
P ( A | B ) = $\frac{P\text{(}A\text{AND}B\text{)}}{P\text{(}B\text{)}}$
In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Write the symbols for the probabilities of the events for parts a through j. (Note that you cannot find numerical answers here. You were not given enough information to find any probability values yet; concentrate on understanding the symbols.)
Use the following information to answer the next four exercises. A box is filled with several party favors. It contains 12 hats, 15 noisemakers, ten finger traps, and five bags of confetti.
Let
H = the event of getting a hat.
Let
N = the event of getting a noisemaker.
Let
F = the event of getting a finger trap.
Let
C = the event of getting a bag of confetti.
Find P ( H ).
Find P ( N ).
P ( N ) = $\frac{15}{42}$ = $\frac{5}{14}$ = 0.36
Find P ( F ).
Use the following information to answer the next six exercises. A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.
Let
B = the event of getting a blue jelly bean
Let
G = the event of getting a green jelly bean.
Let
O = the event of getting an orange jelly bean.
Let
P = the event of getting a purple jelly bean.
Let
R = the event of getting a red jelly bean.
Let
Y = the event of getting a yellow jelly bean.
Find P ( B ).
Find P ( G ).
P ( G ) = $\frac{20}{150}$ = $\frac{2}{15}$ = 0.13
Find P ( P ).
Find P ( R ).
P ( R ) = $\frac{22}{150}$ = $\frac{11}{75}$ = 0.15
Find P ( Y ).
Find P ( O ).
P ( O ) = $\frac{150-22-38-20-28-26}{150}$ = $\frac{16}{150}$ = $\frac{8}{75}$ = 0.11
Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean region).
Let
A = the event that a country is in Asia.
Let
E = the event that a country is in Europe.
Let
F = the event that a country is in Africa.
Let
N = the event that a country is in North America.
Let
O = the event that a country is in Oceania.
Let
S = the event that a country is in South America.
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