Download Probability - East Penn School District

Probability
Packet
Name ____________________________________
Date _________________________ Period _____
SHOW ALL YOUR WORK ON THIS PAPER. WRITE YOUR FINAL ANSWER ON THE LINE TO THE RIGHT.
A.
COUNTING PRINCIPLE
1.
(slide #2)
Ashley wants to eat at a local restaurant that offers a buffet.
They offer three kinds of meat, four different salads, and five
vegetables. If Ashley takes one serving from each category,
how many possible meals combinations are there?
1. _______________
2. _______________
2.
The “I Scream for Ice Cream” store offers 28 flavors of ice-cream.
Elias wants to order a double-scoop cone. How many different
ways can Elias have a double-scoop cone if he wants two different
flavors of ice-cream?
_____ x _____
3.
A certain state issues license plates consisting of letters and numbers.
There are 26 letters that may be repeated. There are 10 digits and
the digits may be repeated. How many possible license plates can
be issued with three letters followed by two numbers?
If the state in problem #3 states that no letter can be repeated and
no number can be repeated, how many possible license plates can
be issued?
_____ x _____ x _____ x _____ x _____
5.
4. _______________
5. _______________
_____ x _____ x _____ x _____ x _____ .
4.
3. _______________
How many different possible combinations can a lock have from a
typical middle school locker if the greatest number is 40 and
the smallest number is 0? A combination consists of three numbers.
_____ x _____ x _____
-1-
B.
PERMUTATIONS
6.
8P4
8.
(slide #3)
7.
10P3
You have ten books on your desk at home. How many ways can
you read four of the books in a different order during your vacation
to Myrtle Beach?
6. ______________
7. ______________
9.
How many different ways can three students earn first, second, and
third place on the Probability Test? The class has thirty students.
8. ______________
9. ______________
C.
FACTORIALS (slide #4)
10.
In an ice-skating competition, the order in which competitors skate
is determined by a drawing. Suppose there are 10 skaters in the finals.
How many different orders are possible for the final program?
10. _____________
11. _____________
12. _____________
11.
How many different ways can seven people stand in a line?
13. _____________
D.
COMBINATIONS
14. _____________
(slide #5)
12.
For some civil cases, at least 9 of 12 jurors must agree on a verdict.
How many combinations of 9 jurors are possible on a 12-person jury?
13.
Maria has a choice of 5 different flavors of ice cream. She will choose
three of those flavors. In how many different ways can she do this?
14.
Peter’s Pizza Shop offers nine possible toppings on their pizzas. Kelly
and Paige want to order a pizza with two toppings. How many choices
of two toppings do they have for their pizza?
-2-
E.
EXPERIMENTAL PROBABILITY
15.
(slide #9-12)
Connor surveyed some people in a neighborhood asking who was in
favor of a traffic light at the corner of Laurel Road and Elm Street.
Of the 50 people surveyed, 24 supported a traffic light. Based on his survey,
about how many people would support the traffic light if Connor surveyed
200 people in the neighborhood?
15. _____________
16. _____________
16.
Mrs. Novobilski collected homework on Tuesday in her math classes. Of
the 95 students in her first four classes, she received 80 papers. Based on
the number of papers collected from her four classes, what percentage of
papers will she collect from her period six class?
17. _____________
18. _____________
19. _____________
17.
A park has about 500 trees. Collin found that 27 of 67 randomly chosen
trees are oak trees. About how many trees in the entire park are likely to
be oak trees?
20. _____________
21. _____________
F.
F.
THEORETICAL PROBABILITY
(slide #13-15)
18.
Find the probability of rolling a fair die and getting an even number.
19.
What is the probability of selecting any card with diamonds from a
standard deck of 52 cards?
20.
Each letter of the alphabet is written on a card. Brooke is asked to choose
a card. What is the probability that Brooke will choose a vowel?
COMPLEMENT
(slide #16)
21.
A meteorologist says that the probability of rain today is 45%. What is the
probability that it will not rain?
22.
Hank usually makes 11 out of every 20 of his free throws. What is the
probability that he will miss his next free throw?
-3-
22. _____________
G.
MUTUALLY EXCLUSIVE EVENTS
B
Y
R
B
(slide #20-21)
Use the spinner to answer
questions 23 – 25. The
spinner is divided into equal
sections: 2 blue, 2 yellow,
and 1 red.
Y
23.
H.
24.
Find the probability of spinning a blue or yellow?
25.
Find the probability of spinning a red or yellow?
OVERLAPPING OR INCLUSIVE EVENTS
26.
27.
28.
I.
23.
____________
24.
____________
25.
____________
26.
____________
27.
____________
28.
____________
29.
____________
30.
____________
31.
____________
Find the probability of spinning a red or blue?
(slide #22-23)
What is the probability that you will get a prime or even
number when you roll a die?
What is the probability that you will get a number greater
than 3 or an odd number when you roll a die?
What is the probability that you will select a black card or a
five when you pick a card from a standard deck?
INDEPENDENT EVENTS (slide #24-25)
You will be using a red die and a green die for problems 29 and 30.
29.
Find the probability that you will get an even number on the
red die and an odd number on the green die.
P(red even and green odd)
30.
P(red less than 2 and green greater than 2)
31.
Find the probability of selecting a king replacing the card,
and then selecting a black card?
-4-
I.
DEPENDENT EVENTS (slide #26-27)
For #s 32-34 there are eight marbles in a bag: 3 red, 2 blue, 1 green and 2 yellow.
32.
What is the probability that you will select a blue marble, keep it, and then
select another blue marble?
33.
What is the probability that you will select a red marble, not replace it,
and then select the green marble?
32. ___________
33. ___________
34.
35.
J.
What is the probability that you will select a yellow marble, not replace it,
select a red marble, not replace it, and then select a yellow marble?
Find the probability of selecting an ace from a deck of cards, not replace it,
and then select another ace.
PROBABILITY REVIEW
36.
How many different possible outcomes are there for rolling two dice?
34. ___________
35. ___________
36. ___________
37. ___________
37.
How many different license plates can a state issue if there must be three
numbers followed by three letters? The first number can not be zero and
no letter may be used more than once?
38. ___________
39. ___________
38.
How many different ways can you rearrange the letters in the word MATH?
39.
What is the probability that Julia will get a 100% on her five question true
or false science quiz?
40.
What is the probability that Corey will get a 100% on his five question
multiple choice Language Arts quiz? There are four possible choices from
which to choose.
41.
How many different ways can Mrs. Lusignea select a committee of five students
from a class of thirty students?
-5-
40. ___________
41. ___________