Transcript Section 1.6

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Probability of Multiple Events
A standard die is tossed. Find each probability.
P(5 or 6)
A standard die is tossed. Find each probability.
P(an even number or a number greater than 4)
A standard number cube is tossed and a card is chosen from a
standard 52-card deck. Find each probability.
P(rolling an even number and selecting an ace from the deck)
4.
The color of a car is selected at random; the type of
transmission is selected at random
13.
About 30% of the U.S. population is under 20 years old.
About 17% of the population is over 60. What is the
probability that a person chosen at random is under 20 or
over 60?
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Suppose a number from 1 to 100 is selected at random.
What is the probability that a multiple of 4 or 5 is chosen?
A: 1/20
B: 0.36
C: 2/5
D: 45%
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Mutually exclusive?
P(mult. of 4 or mult. of 5) = P(mult. of 4) + P(mult. of 5) –
P(mult. of 4 and 5)
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P(A or B) =
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P(A or B) =
100
40
100
+
=
100
2
5
−
100
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Probability Distributions
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Definition 1: A frequency table is a list of the outcomes in a
sample space and the number of times each outcome
occurs.
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In the game Rock-Paper-Scissors, the scissors cut the
paper, the rock dulls the scissors, and the paper covers the
rock. Use the results below to make a frequency table for
the winning players: Player 1, Player 2, or tie.
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Definition 2: Probability over a continuous range of events is
cumulative probability.
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Social Science Use the frequency table. Find the probability that
an elderly person living alone will have contact with his or her
children more than once a week.
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Find P(more than once a week)
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Find P(once a week or more)
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Definition 3: A probability distribution is a function that
gives the probability of each event in a sample space.
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Use a table and a graph to show the probability distribution
for the spinner {red, green, blue, yellow}.
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Genetics Use the information in the chart of inherited gene
pairs. Graph the probability distribution for each sample
space.
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a. Genotype Distribution
b. Plant Color Distribution
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c. Which probability distribution would be more useful to a farmer
who wants to avoid raising white corn plants? Explain.
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d. Make a probability distribution table for each sample space.
Name
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Take a survey of your classmates’ eye
colors and make a frequency table with
the data.
Isaiah
Ferg
Kaila
Jazmine
Antiyana
Isaac
Xavier
Jordan
Jeremy
Justice
Katie R
Tiana
Juliano
Katie S.
Eye Color
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Market Research At a certain store, the number of
customers c who arrive at the checkout counter each
minute varies according to the distribution below. Simulate
the number of customers over a ten-minute period.
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1: Define how the simulation will be done. Use
random numbers. Assign numbers from 1 to 100 to
the events, based on the probability of each event.
Use cumulative probabilities to help you assign the
numbers.
Event
Probability
0
0.15
1
0.24
2
0.28
3
0.17
4
0.09
5
0.05
6
0.02
Cumulative
Probability
Assigned
Numbers
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Step 2: Conduct the simulation. Model a ten-minute period
by generating ten random numbers from 1 – 100.
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Step 3: Interpret the simulation.
o Based on this simulation, a total of ___ customers would arrive at
checkout counters over a ten-minute period.
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Use the frequency table. Find the probability that a student
is involved in at least one extra-curricular activity. (write as
fraction, decimal, and percent AND in context in a sentence)