Lesson 18.1 Conditional Probability
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Last updated over 1 year ago
14 questions
Note from the author:
Learning Goal: I can calculate conditional probabilities using two-way tables and formulas.
Learning Goal: I can calculate conditional probabilities using two-way tables and formulas.
City Life
A group of 300 sophomores and juniors were asked if they want to live in a city or live elsewhere. The results of the survey are shown in the two-way frequency table.
Use this information to answer questions 1-4.
1
What is the probability that a sophomore wants to live in a city?
What is the probability that a sophomore wants to live in a city?
1
What is the probability that a student who wants to live elsewhere is a sophomore?
What is the probability that a student who wants to live elsewhere is a sophomore?
1
What is the probability that a student who wants to live elsewhere is a junior?
What is the probability that a student who wants to live elsewhere is a junior?
1
What is the probability that a junior wants to live in a city?
What is the probability that a junior wants to live in a city?
Smartphones
A wireless provider surveyed a group of underclassmen to see if they prefer
a smaller smartphone of under 5 inches or a larger smartphone of over 5 inches. The results of the survey are shown in the two-way frequency table.
1
What is the probability that a sophomore prefers a smaller smartphone?
What is the probability that a sophomore prefers a smaller smartphone?
1
What is the probability that a freshman prefers a smaller smartphone?
What is the probability that a freshman prefers a smaller smartphone?
2
Is the probability that a person is a freshman and prefers a larger smartphone the same as the probability that a freshman prefers a larger smartphone? Justify your reasoning.
Is the probability that a person is a freshman and prefers a larger smartphone the same as the probability that a freshman prefers a larger smartphone? Justify your reasoning.
The Age Old Battle of Pizza vs. Sub
The cafeteria recently offered pizza or a sub for lunch. The upperclassmen were asked which they preferred. The results of the survey are shown in the two-way frequency table. Use the table for Problems 8-10.
2
Complete the frequency table. Then create a relative frequency table of the data.
Complete the frequency table. Then create a relative frequency table of the data.
1
What is the probability that a junior prefers pizza?
What is the probability that a junior prefers pizza?
1
What is the probability that an upperclassman who prefers subs is a senior?
What is the probability that an upperclassman who prefers subs is a senior?
Final Four
2
Describe two events in your everyday life where one event might affect the likelihood of the other. Describe how you think the probability is affected in terms of likelihood.
Describe two events in your everyday life where one event might affect the likelihood of the other. Describe how you think the probability is affected in terms of likelihood.
1
What is the probability that a black card drawn from the deck is an ace?
What is the probability that a black card drawn from the deck is an ace?
1
What is the probability that a face card (a king, queen, or jack) drawn from the deck is a heart?
What is the probability that a face card (a king, queen, or jack) drawn from the deck is a heart?
1
What is the probability that a spade drawn from the deck is a queen?
What is the probability that a spade drawn from the deck is a queen?