Download Probability and Sample Space

Probability and Sample Space
Some terms you need to know:
Experiment:
an action that has measurable results
Sample Space: the set of all possible outcomes of a
particular experiment
Event:
any collection of possible outcomes of an
Experiment
Probability:
if an experiment had n equally likely
outcomes of which r outcomes are
favorable to event A, then the probability
r
of event A is P( A) 
n
Eg. Using a tree diagram, list the sample space of an experiment
in which a coin is tossed and a 6-sided die is rolled.
Determine the probability of tossing a tail and rolling a 2
m
 1  1  1
Notice P(T ,2)     
 2  6  12
Determine the probability of tossing a tail and rolling a 4 or 2
 1  2  1
Notice P(T ,2 or T ,4)     
 2  6  6
Probability Tree:
using a tree diagram but instead of listing
outcomes it uses probabilities
Eg. According to blood records 4% of Canadians have type AB
blood. Based on surveys, it is thought that 10% of the population
is left handed. Assume there is no relationship between blood
type and handedness. Determine P( L, AB)
Eg. If three people in this group are chosen at random, what is
the estimated probability that at least 2 of them have type AB
blood?
Pg. 371 #1-11,14