Name ___________________________
Algebra I
Lesson 2.8 – PRACTICE
1) A six-sided die is rolled 360 times.
Two comes up 58 times.
a. What is the theoretical probability
of rolling a two?
b. What is the experimental probability
of rolling a two?
2) A drawer contains 5 red
socks, 7 white socks, and
2 blue socks. Without looking,
you draw out a sock and then
draw out a second sock without
returning the first sock.
What is the probability that the
first sock and the second sock
are both white?
3) A single six-sided fair die is tossed.
Find the probability of obtaining a number greater than 2.
4) A bag has 3 red cubes and 2 green cubes. Pat takes a cube out of the bag, records
the color, then replaces the block in the bag. He does this 20 times. Which answer
shows the results he is most likely to have?
[A] 10 red and 10 green
[B] 8 red and 12 green
[C] 19 red and 1 green
[D] 12 red and 8 green
5) A box contains 5 green, 7 yellow, and 3 purple balls. Find the probability of
obtaining a yellow or a purple ball in a single draw.
6) After the introduction of a new soft drink, a taste test is conducted to see how it is
being received. Of those who participated, 56 said they preferred the new soft
drink, 100 preferred the old soft drink, and 44 could not tell any difference. What is
the probability that a person in this survey preferred the new soft drink?
[A]
7
18
[B]
7
25
[C]
14
39
[D]
14
25
7) The probability of an event is
1
. Find the odds in favor of this event occurring.
4
8) The probability of an event is
3
. Find the odds against this event occurring.
4
9) If the probability of an event occurring is
5
, what are the odds that the event
8
will occur?
10) A bag contains five green marbles and one white marble. The marbles are
randomly selected one at a time. What are the odds of picking the white marble on
the first selection?
Name ____ANSWER KEY_______________________
Algebra I
Lesson 2.8 – PRACTICE
1) A six-sided die is rolled 360 times.
Two comes up 58 times.
a. What is the theoretical probability
of rolling a two?
1:6
or 17%
b. What is the experimental probability
of rolling a two?
29:180
or 16%
2) A drawer contains 5 red
socks, 7 white socks, and
2 blue socks. Without looking,
you draw out a sock and then
draw out a second sock without
returning the first sock.
What is the probability that the
first sock and the second sock
are both white? First sock 7: 14
or 1: 2
second sock 6:13
(total probability = 3:13)
3) A single six-sided fair die is tossed.
Find the probability of obtaining a number greater than 2.
4:6 or 2:3
4) A bag has 3 red cubes and 2 green cubes. Pat takes a cube out of the bag, records
the color, then replaces the block in the bag. He does this 20 times. Which answer
shows the results he is most likely to have?
[A] 10 red and 10 green
[B] 8 red and 12 green
[C] 19 red and 1 green
[D] 12 red and 8 green
5) A box contains 5 green, 7 yellow, and 3 purple balls. Find the probability of
obtaining a yellow or a purple ball in a single draw.
2:3
6) After the introduction of a new soft drink, a taste test is conducted to see how it is
being received. Of those who participated, 56 said they preferred the new soft
drink, 100 preferred the old soft drink, and 44 could not tell any difference. What is
the probability that a person in this survey preferred the new soft drink?
[A]
7
18
[B]
7
25
7) The probability of an event is
[C]
14
39
[D]
14
25
1
. Find the odds in favor of this event occurring.
4
1 to 3
8) The probability of an event is
3
. Find the odds against this event occurring.
4
1 to 3
9) If the probability of an event occurring is
5
, what are the odds that the event
8
will occur?
5 to 3
10) A bag contains five green marbles and one white marble. The marbles are
randomly selected one at a time. What are the odds of picking the white marble on
the first selection?
1:5