Probability of Sampling Without Replacement
TEACHERS:
SUBJECT:
7th grade Math
Mr. Nate Roberts
STANDARD: 7.SP.C.6. Approximate the probability of a chance event by collecting data on the chance process that
produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the
probability. 7.SP.C.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
OBJECTIVE (EXPLICIT):
 Determine the probability for a random drawing without replacement.
EVIDENCE OF MASTERY (MEASURABLE):
SUB-OBJECTIVES, SWBAT (SEQUENCED FROM BASIC TO COMPLEX):

KEY VOCABULARY:
MATERIALS: Algebra tiles (2 yellow, 2 red,
2 green), a paper bag, 30 Trial recording
Frequency, experimental/theoretical probability,
chart, Video Game Handout WS
sample, simple and compound event, outcome,
predict
ENGAGE (MAKE CONTENT AND LEARNING RELEVANT TO REAL LIFE AND CONNECT TO
STUDENT INTEREST)
BEFORE
TEACHER WILL:
Say: We have learned how to find the
probability of a single event, now we will
calculate the probability of having the same
outome occur more than once in a row.
STUDENT WILL:
Listen to the introduction.
Poses the following problem: In Eric’s video
game collection for his PS4 he owns 2 1st
person shooter games, 2 Realm Adventure
games, and 2 Sports games. If he picks
one game at random to play, what is the
probability it will be the 1st person shooter
game? If he then picks another game the
next day to play (can’t be not be the same
game because he borrowed it to his friend
Kenny) what is the probability that he will
pick the second game also be the the 1st
personal shooter? What is the probability
that both games will be shooters?
Says: To model this problem you are going
to place 2 tiles of each color (yellow, red,
green) into a bag, representing each of the
3 types of video games
TSW: Assign a video game genre to each
color of tile.
DURING
CO-TEACHING STRATEGY IF APPLICABLE
TEACHER WILL:
STUDENT WILL:
Says: One partner should now pick a tile at
random. The other student will record the
color/genre on the recording chart. Without
returning the tile to the bag, the first student
will then select another tile at random. This
color should be recorded on the chart as
well. After each trial replace both tiles back
into the bag and repeat this process 30
times.
TSW: Model and record this procedure 30
times on the recording chart.
When complete work on Video Game
Handout)
TSW: Work with partner to complete
handout.
CO-TEACHING STRATEGY IF APPLICABLE
TEACHER WILL
STUDENT WILL:
Review Video game handout with class.
Discuss responses and read Eric letters to
class.
AFTER
Pose the following Assessment question:
Each of the numbers 1-5 is written on a
card and placed into an envelope. Two
cards will be drawn, on at a time, without
replacement. What is the probability of
drawing two odd number?
CO-TEACHING STRATEGY IF APPLICABLE
Probablity of 2 Shooter Games Handout (Teacher)
1. When all tiles were in the bag, what was the probability of choosing a “shooter”
tile from the bag? 2/6 or 1/3
2. What was the new probability that a 2nd shooter would be chosen if the 1st “game”
could not be chosen again? 1/5
3. Us the formula P(A and B) = P(A) x P(B given A) to determine the probability
that both games Eric draws will be shooters. 1/3 x 1/5 = 1/15
4. How could you use the data from the first step (recording chart) to estimate the
probability of drawing 2 shooter video games? ___________________________
_________________________________________________________________
a. Calculate this experimental probability: (Favorable outcomes/total
outcomes)
b. Use the remaining space to write Eric a letter explaining how to determine
the probability of picking to 2 shooter games in a row without
replacement.
Probablity of 2 Shooter Games Handout (Student)
5. When all tiles were in the bag, what was the probability of choosing a “shooter”
tile from the bag?
6. What was the new probability that a 2nd shooter would be chosen if the 1st “game”
could not be chosen again?
7. Us the formula P(A and B) = P(A) x P(B given A) to determine the probability
that both games Eric draws will be shooters.
8. How could you use the data from the first step (recording chart) to estimate the
probability of drawing 2 shooter video games? ___________________________
_________________________________________________________________
a. Calculate this experimental probability:
b. Use the remaining space to write Eric a letter explaining how to determine
the probability of picking to 2 shooter games in a row without
replacement.
Team Names: ________________________________________________________
Trial
First Tile
Second Tile