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Name: _____________________ Date: ____________ Per.: ______
Algebra II
Notes: Independent and Dependent Probability
1. If an 8-sided die is rolled once, what is the probability of rolling an even number and a
number less than five? Independent/ Dependent
Let A =
P(A)=
Let B=
P(B)=
P(A  B)=
2. If an 8-sided die is rolled twice, what is the probability that it will land on even
numbers each time? Independent/ Dependent
Let A =
P(A)=
Let B=
P(B)=
P(A  B)=
3. Kevin flipped a fair coin three times. What is the probability that all three toss will
be the same? Independent/ Dependent
4. Gus and Mario play on a baseball team. Gus has 8 hits out of 20 times at bat, and
Mario has 6 hits out of 16 times at bat. Based on their past performance, what is the
probability that both boys will get a hit next time at bat? Independent/ Dependent
5. Two cards are drawn from a deck of 52. Determine whether the events are
independent or dependent. Find the probability.
a. Selecting two hearts when the first card is replaced. Independent/ Dependent
b. Selecting two hearts when the first card is not replaced.
Independent/ Dependent
c. A queen is drawn, is not replaced, and then a king is drawn.
Independent/ Dependent
Name: _____________________
Alg. II; Period : ____________
Date: ___________________
Ms. Ngo
HW # _______: Independent and Dependent Probability
Indicate whether the probability is independent or dependent. Define the events. Find
the probability.
1. Selina’s math teacher told the class that if she rolled three dice and they all turned
up one, she would let them skip their homework for a month. What is the probability of
this actually happening? Independent/ Dependent
2. Suppose Andrew has the following five books in his backpack: Chemistry, Biology,
Calculus, Physics, and Psychology. Without looking, he picks a book. He replaces the
book and repeats this process. What is the probability that the first time he picks
Physics or Chemistry, and the second time he picked Physics? Independent/ Dependent
3. The probability of snow for any given weekend in December is 60%. What is the
probability of getting snow three consecutive weekends in December?
Independent/ Dependent
4. Mr. Espinoza has twelve students in his research class. There are seven girls and
five boys. If he chooses two students to take the recycling bin to the recycling center
at random, what is the probability that the first student picked is a boy and the second
student picked is a girl? Independent/ Dependent
5. A bag contains 10 beads—2 black, 3 white, and 5 red. A bead is selected at random.
Determine whether the events are independent or dependent. Find the indicated
probability.
a. Selecting a white bead, replacing it, and then selecting a red bead.
Independent/ Dependent
b. Selecting a white bead, not replacing it, and then selecting a red bead.
Independent/ Dependent
c. Selecting 3 non-red beads without replacement. Independent/ Dependent
Review:
1. Gus went to a buffet restaurant for lunch. He had to choose from four main courses,
three side dishes, three drinks, and two desserts. How many different combinations
could he have created?
2. Luis was going to buy a car. The model he wanted came in three different exterior
colors, with two different interiors (cloth and leather), and three different stereo
options. How many ways could Luis configure the car?
3. What is the solution of the following linear system?
2 x  5 y  3 z  10

3 x  y  4 z  8
5 x  2 y  7 z  12
