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Transcript
Geometry: Statistics 12.1
A probability experiment is
an action or trial that has varying results
Any possible result of a probability experiment
represents an ____________ of the experiment.
outcome
The sample space of a probability experiment is
the set of all possible outcomes
Example: Determine the sample space in each situation below.
You flip a coin 3 times and record the number of heads
You flip a coin 3 times and record the outcome
You flip a coin and roll a 6-sided die.
I t would certainly be nice to know in advance how
many outcomes we should expect in our sample space.
Multiplication Principle: If we can do one task n1 number
of ways and a second task n2 number of ways, then both
n1  n2 ways.
tasks together can be done in _______
Example: Find the number of possible outcomes in the sample
space. Do not list them.
Flip 8 coins
b) flip 2 coins and roll a
6-sided die
An event is
a collection of one or more outcomes
The probability of an event is a measure of
the liklihood, or chance, the event will occur
Probability is always a number between _____
0 and
_____
1 and can be expressed as a fraction, decimal or
percent.
Number of outcomes in the event
Total number of outcomes
P(A)
Example: A student taking a quiz guesses at the answers to four
true-false questions. What is the probability of the students
guessing exactly 2 correct answers?
Example: Two 4-sided dice are rolled. What is the probability of
getting a sum of 6?
all outcomes that are not in A
A
1
1 - P(A)
Example: Consider rolling two 6-sided dice. Find the
following probabilities.
P(sum is not 6)
b) P(sum is less than or
equal to 9)
A geometric probability is found by
calculating a ratio of lengths, areas or volumes
Example: You throw a dart at the board shown at the
right. Your dart is equally likely to hit anywhere inside
the square board.
Find P(getting 10 points)
Find P(getting 0 points)