Objective 5: Probability
8.11A: The student applies concepts of theoretical and experimental probability to make
predictions. The student is expected to find the probabilities of dependent and
independent events. (Readiness)
1. A spinner and a fair number cube are used in a game. The spinner has an equal chance
of landing on 1 of 4 colors: red, purple, blue, or green. The faces of the cube are labeled
1 through 6. What is the probability of a player spinning the color red and then
rolling a 5 or 6?
F
3
10
G
1
8
H
1
12
J
1
24
2. Fidel tosses four fair coins. What is the probability that all four coins will land heads
up?
F
1
16
G
1
8
H
1
4
J
1
2
1
Objective 5: Probability
3.
Hayden and Josh are designing a game for their math class. They each designed a spinner.
Josh designed the spinner shown below.
green
red
red
blue
blue
yellow
Josh’s Spinner
The rules for their game state that you must spin both spinners. Which of the spinners shown
below did Hayden design if the probability of spinning a blue and the probability of spinning
1
a 2 is ?
9
A
2
C
2
1
1
B
1
2
3
3
3
1
D
4
3
1
2
2
2
1
2
Objective 5: Probability
4.
A
B
C
H
O
T
D
O
G
If the 6 cards above are placed in a
bag, what is the probability that you
could draw out the two “O” cards
(without replacement)?
A
1
9
1
10
B
1
15
1
19
C
2
15
1
100
D
1
18
1
190
D
6.
5.
Derek has placed color tiles in a
bag. There are 2 red tiles, 10 blue
tiles, 5 green tiles, and 3 yellow
tiles. He is challenging his friends to
draw the 2 red tiles from the bag.
Susan accepted his challenge and
will draw twice, without
replacement. What is the probability
that Susan will draw both red tiles?
Sarah is playing a game with 3 sixsided die. If she rolls three ones, she
will lose all of her points. What is
the probability that she will roll
three ones and lose all of her points?
A
1
216
1
B
36
C
1
18
D
1
3
7.
Jordan wants the probability of
drawing a blue tile and then
drawing a second blue tile, if the
first blue tile is not replaced, to be
1
. If there will only be two blue
28
tiles in the bag, how many total tiles
should be placed in the bag?
A 28 tiles
B 14 tiles
C 8 tiles
D 4 tiles
3
Objective 5: Probability
8.
10.
Nicole rolls three fair number cubes
that are each numbered with the
digits one through six. What is the
probability that all three number
cubes will show a 4 on the top face
after one roll?
9.
Assuming that a woman is equally
likely to have either a baby boy or a
baby girl, what is the probability
that a woman giving birth to twins
would have 2 girls?
A
0
A
1
216
B
1
4
B
1
36
C
1
3
C
1
18
D
1
2
D
1
2
Jayney has a deck of eleven cards.
Each card has one of the letters of
the word “MATHEMATICS”
written on it. What is the
probability of choosing a “T” and
then a second “T” without replacing
the first “T”?
A
31
110
B
2
121
C
1
55
D
1
11
4