Math111
Assignment 5: Chapter 4-1 & 4-2
Section A
Circle the correct response
1. A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of
picking a quarter?
A.
B.
C.
D.
5/11
5/6
1/3
5
2. A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability
of pulling a red?
A.
B.
C.
D.
3/10
3/9
1/9
1/3
3.
A.
B.
C.
D.
Experimental Probability is:
What will happen
What actually happened
What should happen
What I think will happen
4. P(not A) =
*Remember to simplify.*
A.
B.
C.
D.
6/8
3/4
2/8
1/4
5. The letters that form the word ALGEBRA are placed in a bowl. What is the
probability of choosing a letter other than “A”?
A. 2/7
B. 5/49
C. 5/7
D. 10/49
6.
A.
B.
C.
D.
What is the complement of an event if P(event) is 2/7?
7/2
5/7
9/7
None of these
7. The tree diagram shows the outcomes of rolling a die and flipping a coin.
What is the probability of rolling an even number and flipping a head?
A.
B.
C.
D.
1/4
1
/2
1/3
0
/12
8. Mrs. Elder has a box containing 6 cracker, 3 peppermints, 6 bubble gums, and 3
licorice sticks. If she randomly chooses one piece from the box, what is the probability
that she will grab a cracker or a peppermint?
A. peppermint
B. 1/6
C. 1/2
D. 1/3
9. In a standard deck of 52 cards there are 13 diamonds and 13 hearts (red) and 13
spades and 13 clubs (black). Find the probability of choosing a card at random that is a
spade OR a 7
A. 1/52
B. 1/13
C. 4/13
D. 17/52
10. If you roll one die, what is the probability of getting an even number or a multiple of
3?
A. 1/3
B. 2/3
C. 1/2
D. 1/6
11. What is the probability of spinning green or blue?
A.
B.
C.
D.
0
5/12
1/2
3/4
12. A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose
one marble. What is the probability of selecting a green or red marble?
A.
B.
C.
D.
8/15
6/11
3/4
2/3
13. Find the probability of choosing a student at random that plays an instrument OR a
sport
A.
B.
C.
D.
1/2
13/20
21/20
4/5
14. What is the probability of spinning red?
A.
B.
C.
D.
0
1/2
3/4
1
15. In a cup are the numbers 1 - 20. Find the theoretical probability of
picking an even number.
A. 10/20
B. 1/2
C. 1/20
D. 20/20
Section B
Instruction: Show working.
1) Amazon decides to select a month for its annual sale. Find the probability that it will be
July or December.
P (July) = 1/12
P (December) = 1/12
P (July or December) = 1/12 + 1/12 = 2/12 = 1/6
2) At Lion’s pool there are 2 managers, 5 lifeguards and 3 maintenance people. If a person
is selected at random, find the probability that the person is either a lifeguard or a manager.
P (lifeguard) = 5/10
P (manager) = 2/10
P (lifeguard or manager) = 5/10 + 2/10 = 7/10
3) In an Algebra class there are 14 juniors and 11 seniors; 7 of the seniors are females and 9
of the juniors are males. If a student is selected at random, find the probability of selecting
the following:
Total= 25 P (juniors)=14/25
P (seniors)= 11/25 P (females)= 7/11 P (males)= 9/14
a) P (a junior or a senior) = 14/25 + 11/25 =25/25 = 1
b) P (a junior or a female) = 14/25 + 7/25 = 21/25
c) P (a senior or a female) = 11/25 + 12/25 = 23/25
4. At a John Gray high School with 250 female students, 100 play netball, 50 play volleyball
and 25 play both.
A) Find the probability that a randomly selected female student plays netball or volleyball.
Total=250
P (netball) = 100/250
P (volleyball) = 50/250
P (both) = 25/250
P = 100/250 + 50/250 + 25/250 = 175/250 = 35/50 = 7/10
B) Find the probability that a randomly selected male student plays neither sport
P (male) = 0