Conditional Probability questions and answers 2023 with
complete solution
Nadia's bookshelf contains 10 fiction books, two reference books, and five
nonfiction books.
What is the probability that she randomly picks up a reference book and then,
without replacing it, picks up a nonfiction book?
c
Twenty-five bakery customers were surveyed to determine if they like cake or pie.
The results are shown in the Venn diagram.
Given that a randomly chosen customer likes cake, what is the probability that
the customer also likes pie?
a
2/7
A study found that 23% of the cars manufactured last year were SUVs, 13% of the
cars manufactured were white, and 2% of the cars manufactured were white
SUVs.
To the nearest whole percent, what is the probability that a car is an SUV, given
that it is white?
NOT
9%
Use the Venn diagram to calculate probabilities.
Which probability is correct?
d
P(C|A)=13/17
A hat contains slips of paper with the names of the 26 other students in
Eduardo's class on them, 10 of whom are boys. To determine his partners for the
group project, Eduardo has to pull two names out of the hat without replacing
them.
What is the probability that both of Eduardo's partners for the group project will
be girls?
b 24/65
In the drawing, six out of every 10 tickets are winning tickets. Of the winning
tickets, one out of every three awards is a larger prize.
What is the probability that a ticket that is randomly chosen will award a larger
prize?
NOT
c
5/9
Correct
1/5
Use the Venn diagram to calculate probabilities.
complete solution
Nadia's bookshelf contains 10 fiction books, two reference books, and five
nonfiction books.
What is the probability that she randomly picks up a reference book and then,
without replacing it, picks up a nonfiction book?
c
Twenty-five bakery customers were surveyed to determine if they like cake or pie.
The results are shown in the Venn diagram.
Given that a randomly chosen customer likes cake, what is the probability that
the customer also likes pie?
a
2/7
A study found that 23% of the cars manufactured last year were SUVs, 13% of the
cars manufactured were white, and 2% of the cars manufactured were white
SUVs.
To the nearest whole percent, what is the probability that a car is an SUV, given
that it is white?
NOT
9%
Use the Venn diagram to calculate probabilities.
Which probability is correct?
d
P(C|A)=13/17
A hat contains slips of paper with the names of the 26 other students in
Eduardo's class on them, 10 of whom are boys. To determine his partners for the
group project, Eduardo has to pull two names out of the hat without replacing
them.
What is the probability that both of Eduardo's partners for the group project will
be girls?
b 24/65
In the drawing, six out of every 10 tickets are winning tickets. Of the winning
tickets, one out of every three awards is a larger prize.
What is the probability that a ticket that is randomly chosen will award a larger
prize?
NOT
c
5/9
Correct
1/5
Use the Venn diagram to calculate probabilities.
