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7th Grade Accelerated Chapter 12
Vocabulary
Probability
Name:
Date:
Block:
1) probability: ___________________________________________________________________________________
2) outcome: _____________________________________________________________________________________
3) favorable outcome: ___________________________________________________________________________
4) unfavorable outcome: ________________________________________________________________________
5) theoretical probability: _________________________________________________________________________
6) experimental probability: _______________________________________________________________________
7) complementary events: ________________________________________________________________________
8) dependent events: ____________________________________________________________________________
9) independent events: __________________________________________________________________________
10) permutations: ________________________________________________________________________________
11) odds in favor: ________________________________________________________________________________
12) simulation: ___________________________________________________________________________________
SHOW ALL WORK!
Skills
1) Find the value of the following:
A) 3!
B) 4!
C) 8!
D) 1!
E) 0!
F) 6!
2) Find the probability that the event will not occur (the complement):
A) P(A) = ½
P(not A)=
B) P(A) = 2/3
P(not A)=
C) P(A) = 0.75
P(not A) =
D) P(A) = 0.28
P(not A) =
E) P(A) = 15%
P(not A) =
F) P(A) = 90%
P(not A) =
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3) You roll a ten-sided fair number cube. Find the following probabilities.
A) P(rolling an 8)
B) P(rolling an even number)
C) P(rolling a prime number)
D) P(rolling a number greater than 6)
E) P(rolling a number that is less than 11)
F) P(rolling a number that is greater than 11)
G) P(rolling a 2, 5 or 9)
4) A basket contains 20 white balls, 30 black balls and 40 red balls. Find the following probabilities.
A) P(choosing a red ball)
B) P(not choosing a red ball)
C) P(choosing a green ball)
D) P(not choosing a green ball)
E) P(choosing a red or black ball)
F) P(choosing a red, black or white ball)
For numbers 5-7, assume you are rolling a six sided die.
5) If you roll a die 800 times, how many times would you expect to roll a 5? _______
6) If you roll a die 10,000 times, how many times would you expect to roll an even number? _______
7) If you roll a die 750 times, how many times would you expect to roll a 6? _______
8) If you toss a coin 500 times, how many times would you expect to get heads? ________
9) If you typically make 40% of your free throws, how many of 25 throws would you expect to make?
_________
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10) An ice cream parlor offers two types of cones (sugar or waffle), four different flavors (chocolate,
vanilla, strawberry and mint), and two different types of sprinkles (rainbow or chocolate). Draw a
tree diagram to find out how many different combinations of cone, ice cream and sprinkles there
are.
Number of possible combinations? ______
11) Julia has three types of jean (skinny, boot leg and bell bottoms), three favorite tops (black, pink
and white) and three favorite belts (black, brown and red). Draw a tree diagram to find out how
many different outfits Julia has.
Number of possible outfits? ______
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12) Describe an application where the following spinners could be used to simulate the probability of
an event:
A)
B)
1
2
4 3
C)
Applications
SHOW ALL WORK!
1) In how many ways can Julia, Alex, Zach, Steve and Lori be lined up in a row?
2) How many different ways can you listen to your ten favorite songs?
What’s the probability that you end up listening to them in your favorite order?
3) You are knitting a stocking hat, and you want it to have three different colored stripes of equal
width. You have eight colors of yarn. How many different hats can you knit?
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4) Your teacher is setting up a contest to give out homework passes. A student will win a pass if he or
she draws a blue square out of a jar without looking. In addition, students can choose between the
short jar and the tall jar. The short jar has 20 blue squares, 15 green squares and 18 yellow squares.
The tall jar has 18 blue squares, 13 green squares and 12 yellow squares. Which jar would you pick?
Show all work and explain your answer.
5) This morning you got dressed in the dark. You own five different color jeans, six different color
blouses, and three different color shoes. Assuming that one of each of these is black, what is the
probability that you end up wearing all black?
6) Your school lottery involves a number that is 6 digits long and uses the numbers 1 through 5 in
each position. How many different six digit numbers are possible?
7) A medicine has a 3 in 5 chance of curing the condition for which it is prescribed. If two patients
are chosen at random, the probability that the medicine will cure both of them is desired. A
simulation is set up to determine the experimental probability of this occurring.
The table shows results of using five cards. The 1(ace), 2 and 3 of hearts represent the medicine
curing the condition and the 4 and 5 of hearts represent the medicine NOT curing the condition.
TRIAL
CARDS
TRIAL
CARDS
1
3,4
10
4,3
2
4,1
11
4,5
3
5,3
12
3,2
4
5,5
13
4,4
5
1,2
14
2,4
6
2,4
15
4,2
7
1,4
16
4,4
8
3,2
17
4,5
9
4,5
18
1,5
What is the number of trials in which the medicine cured both patients?
What is the experimental probability that the medicine cured both patients?
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8) You score touch downs in 15% of your football games. What are the odds in favor of you scoring a
touchdown in the next game?
9) Your teacher state that 75% of the class scored an A on the current common assessment. What
are the odds in favor of you scoring one of the A’s?
10) What’s the probability of rolling a six sided number cube three times and getting “6” all three
times?
11) Jenna has a bag of jellybeans containing 10 purple jellybeans, 15 red jelly beans and 5 black jelly
beans. The purple jellybeans are her favorite! What’s the probability that Jenna will randomly
choose a jellybean, eat it, randomly choose a second, and get two favorites in a row?
12) In order to win a game, you must roll a number cube and get an even number and then flip a
coin and get heads. What is the probability that you will win this game?
13) A laundry basket contains eight black socks, eight white socks and four brown socks. Find the
probability of randomly pulling out a pair of white socks.
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14) How could you use a number cube to simulate tossing a coin?
A) Rolling a prime number is heads and anything is tails.
B) Rolling an odd number is heads and an even number is tails.
C) Rolling a six is heads and anything else is tails.
D) Rolling less that a three is heads and anything else is tails.
EXPLAIN HOW YOU KNOW!
Writing
1) Describe a real life situation where you would want to conduct a simulation. Explain HOW you
would conduct that simulation.
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2) WHY do the probability of an event and its complement ALWAY adds up to 1? Explain and give
an example to support your answer.
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3) Will the experimental probability ever equal the theoretical probability? Explain.
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4) What is the difference between independent compound events and dependent compound
events? Explain and give an example to support your answer.
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5) What is the difference between the probability of an event and the odds in favor of an event?
Explain and give an example to support your answer.
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