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Name:________________________________________________________________________________Date:_____/_____/__________
QUIZ DAY!
Fill-in-the-Blanks:
1. Theoretical probability is what should happen (based on math),
while _____________________ probability is what actually happens.
2. As the number of trials increase, the experimental probability
will come closer to the ____________________ probability.
For the following situations, decide whether they describe an
experimental OR theoretical probability situation:
SITUATION
“E” or “T”
3. If Gary played 12 games of Connect Four and
won 10 of them, finding the probability that he
will win the next game played.
4. Finding the probability that Leslie will get a #
greater than 3 with one roll of a number cube.
Short Answer:
5. Scott is attempting a new skateboard trick. If he lands 6 out of
8 attempts, what is the experimental probability that he will
land his next attempt?
Hint: What are
the RESULTS of
the experiment??
6. If a standard number cube is rolled 40 times, what is the
expected number of times a “4” will land face up (round to
nearest whole number)? (set up a proportion)
Start your
proportion with
the probability of
rolling a “4” in
ONE roll . . .
7. Jenny spun the below spinner 40 times, and landed on green
12 times. Compare the experimental probability with the
What ACTUALLY
theoretical probability.
happened . . .
Experimental Probability:
Theoretical Probability:
To make easier, write
probability for getting
green in ONE SPIN!
Compare:
Fundamental Counting Principle:
Multiply the
outcomes!
8. How many total outcomes for flipping a coin and rolling a
number cube?
9. How many unique three-letter codes exist if the choices are A, B,
C, D, E, F, or G . . . and each letter can be repeated more than
once?
Compound Probability:
Probability of first event
TIMES the probability of the
second event!
If a number cube is rolled and the spinner shown is spun . . .
10. P(2, red) =
11. P(even #, yellow) =
12. P(# > 4, blue)
NAME: __________________________________________________________________________________DATE:____/_____/__________
AFTER THE
QUIZ . . .
ANSWER SPACE (Place answers to questions 1-4 in the table below):
1.
2.
3.
4.
ANSWER SPACE (Place answers to questions 5-10 in the table below):
5.
6.
7.
8.
9.
10.
Name:__________________________________________________________________________________ Date:_____/______/__________
Math-7 NOTES
What:
Why:
probability of compound, dependent events
. . . so I can calculate the probability of compound, dependent events.
Vocabulary:
Two events are ______________________________ when the outcome of one event does NOT
affect the outcome of the other event.
Two events are ______________________________ when the outcome of one event DEPENDS
on the outcome of the other. In other words, the first event ____________________________
the outcome of the second event.
Scenario
1.
Out of a bag of 20 marbles, calculating the probability of
picking a red marble, setting it aside, and picking a green
marble.
2.
When flipping a coin and rolling a die, calculating the
probability of getting heads and a 4.
3.
Out of a bucket of tootsie pops, calculating the probability of
picking a cherry, putting it back in the bucket, and then
picking an orange.
4.
When flipping three coins at once, calculating the probability
of getting three heads in a row.
5.
From a standard deck of cards, calculating the probability of
picking a red Queen, keeping it, and then picking a black Jack.
6.
From a standard deck of cards, calculating the probability of
picking a diamond, replacing the card, and picking the six of
hearts.
Dependent
or Independent?
Trial without replacement . . .
What if we did a Tootsie Pop pick, but did not put the tootsie pops back in the bucket??
Examples:
1) What if we tried to pick two grapes in a row – without replacing the first
grape(using the above numbers from our tootsie pop bucket)??
2) Without replacing any letters, Jane will pick two letters from a bag
containing the following choices:
M-A-T-H-I-S-C-O-O-L
Answer the following:
a)
b)
P(M, then C)
P(H, then a vowel)
c)
P(two vowels in a row)
WRAP-IT-UP / SUMMARY:
1) What is the difference between independent and dependent events?
NAME: _______________________________________________________________________________ DATE: ______/_______/_______
INDEPENDENT . . .
A.
B.
C.
D.
C.
F.
Answer Space (show work for #1 below):
A.
B.
𝟏
𝟓
𝟏
𝟏
𝟑
𝟏𝟓
x =
A.
B.
C.
D.
C.
F.
C.
D.
C.
D.
Answer Space (show work for #2 below):
A.
B.
𝟏
𝟒
𝟏
𝟏
𝟔
𝟐𝟒
x =
DEPENDENT (WITHOUT replacing) . . .
3
A.
B.
C.
D.
C.
F.
Answer Space (show work for #3 below):
A.
𝟐
𝟗
𝟒
𝟖
𝟖
𝟕𝟐
x =
=
𝟏
𝟗
B.
C.
D.
Independent Events (WITH replacement):
1.
If there are four kings and four jacks in a deck of 52 cards, what is the probability of drawing
a king, putting it back in the deck (replacing it), shuffling the deck, and then drawing a jack?
2.
What is the probability of flipping heads on a coin and then flipping tails?
3.
What is the probability of rolling a 3 on a six-sided number cube, and then flipping heads on
a coin?
4.
You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing
a red marble, putting it back in the bag, and then drawing another red marble?
Dependent Events (WITHOUT replacement):
1.
Each letter in the word “MATH” is written on a card and put into a bag. What is the
probability of drawing the “A,” keeping it (not replacing), and then drawing the “H”?
2.
You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of
drawing a red marble, putting it aside, and then drawing another red marble?
3.
You have a bag of 10 marble. Four are red and 6 are blue. What is the probability of drawing
a blue marble, putting it aside (no replacement), and then drawing a red marble?
4.
In a deck of 52 cards, half are black and half are red. What is the probability of drawing a
black card, putting it aside (without replacing), and then drawing a red card?