1. Two dice are rolled, a blue one and a green one.
a. P(blue one has a 4 and the green one has a 3)
b. P(4 and a 3)
c. P(odd number on the blue and a multiple of 3 for
the green)
2. The Daily scoop has 20 flavors of ice cream and 25 types of
candy. How many ways could you…
a. select an ice cream and a candy?
b. select an ice cream or a candy?
c. select an ice cream for you, select an ice cream for your
friend, and select a candy?
d. select three types of candy, none are the same?
3. Using the letters in MAGNET…
a. How many arrangements can you make, using all the letters
once?
b. How many of these arrangements have a G first, and a vowel
second?
c. What is the probability that your arrangements has a M for
the first letter and a T for the last letter?
4. A bag contains 7 red marbles, 9 blue marbles and 10 green
marbles.
a. How many ways can you select two marbles, one blue and
one green?
b. What is the probability that if you select 5 marbles, 2 are red,
2 are blue and 1 is green?
c. What is the probability that if you select 5 marbles, 2 are red
(round to 2 decimal places)?
d. What is the probability that if you select 5 marbles, at most 2
are red (round to 2 decimal places)?
5. Using a standard deck of cards…
a. How many different 5-card poker hands can be formed?
b. What is the probability that you get 1 queen in your 5-card poker
hand (give as a decimal rounded to 2 decimal places).
c. What is the probability of your hand having four of a kind?
6. The varsity dodgeball team of 4 boys and 8 girls, makes it to
sectionals. Their coach, Mrs. Beam, will take 7 of them to
sectionals. What is the probability that Mrs. Beam selects…
a. 2 boys and 5 girls?
b. all girls?
c. all boys?
d. Liam, their star player
7 a. Independent or Dependent event: Two dice are rolled.
b. Independent or Dependent event: Two cards are drawn from
a standard deck of cards without replacement.
c. Mutually Exclusive or Inclusive: A die is rolled. What is the
probability of rolling a 6 or an even number?
d. Permutation or Combination: Selecting two of eight
employees to attend a business seminar?
e. Permutation or Combination: Selecting 5 books of out of the
library from a reading list of twelve books?
f. Permutation or Combination: Chosing a 1st place, and 2nd
place awards in an art contest of 30 applicants?
8. For the science fair, Quinn displays his 8 planets.
a. What would be the probability that Quinn would display his
planets correctly?
b. What would be the probability that he would is display Earth
3rd?
9. A box contains 10 black, 9 red, 8 blue, and 11 orange legos.
a. If a lego is selected at random, what is the probability that the
lego is blue?
b. If a lego is selected at random, what is the probability that it is
blue or orange?
c. If two legos are selected at random, what is the probability
that they are both red?
d. If four legos are selected at random, what is the probability
that the legos are not orange?
10. The Cayuga Indians played a game of chance called DISH,
in which they used 6 flattened peach stones blackened on one
side and plain on the other. They tossed the peach stone and a
point was given for each stone that was black side up. Assume
that a black face had a .4 chance of facing up. Find the
probabilities of each possible outcome if a success was a
blackened side, face up.
11. You are one of 5 people playing BINGO.
a. What is the probability of winning any one game?
b. What is the probability of losing any one game?
c. What is the mathematically expected number of dollar for
playing 4 games if
 Win 0 games, play $2
 Win 1 game, break even (pay nothing, win nothing)
 Win 2 games, win $3
 Win 3 games, win $5
 Win all 4 games, win $100
ANSWERS
1. Two dice are rolled, a blue one and a green one.
a. P(blue one has a 4 and the green one has a 3)
b. P(4 and a 3)
c. P(odd number on the blue and a multiple of 3 for
the green)
2. The Daily scoop has 20 flavors of ice cream and 25 types of
candy. How many ways could you…
a. select an ice cream and a candy?
b. select and ice cream or a candy?
c. select an ice cream for you, select an ice cream for your
friend, and select a candy?
d. select three types of candy, none are the same?
3. Using the letters in MAGNET…
a. How many arrangements can you make, using all the letters
once?
b. How many of these arrangements have a G first, and a vowel
second?
c. What is the probability that your arrangements has a M for
the first letter and a T for the last letter?
4. A bag contains 7 red marbles, 9 blue marbles and 10 green
marbles.
a. How many ways can you select two marbles, one blue and
one green?
b. What is the probability that if you select 5 marbles, 2 are red,
2 are blue and 1 is green?
c. What is the probability that if you select 5 marbles, 2 are
red (round to 2 decimal places)?
d. What is the probability that if you select 5 marbles, at most 2
are red (round to 2 decimal places)?
5. Using a standard deck of cards…
a. How many different 5-card poker hands can be formed?
b. What is the probability that you get 1 queen in your 5-card poker
hand (give as a decimal round to 2 decimal places).
c. What is the probability of your hand having four of a kind?
6. The varsity dodgeball team of 4 boys and 8 girls, makes it to
sectionals. Their coach, Mrs. Beam, will take 7 of them to
sectionals. What is the probability that Mrs. Beam selects…
a. 2 boys and 5 girls?
b. all girls?
c. all boys?
d. Liam, their star player
7 a. Independent or Dependent event: Two dice are rolled.
b. Independent or Dependent event: Two cards are drawn from
a standard deck of cards without replacement.
c. Mutually Exclusive or Inclusive: A die is rolled. What is the
probability of rolling a 6 or an even number?
d. Permutation or Combination: Selecting two of eight
employees to attend a business seminar?
e. Permutation or Combination: Selecting 5 books of out of the
library from a reading list of twelve books?
f. Permutation or Combination: Chosing a 1st place, and 2nd
place awards in an art contest of 30 applicants?
8. For the science fair, Quinn displays his 8 planets.
a. What would be the probability that Quinn would display the
planets correctly?
b. What would be the probability that he would display Earth
3rd?
9. A box contains 10 black, 9 red, 8 blue, and 11 orange legos.
a. If a lego is selected at random, what is the probability that the
lego is blue?
b. If a lego is selected at random, what is the probability that it is
blue or orange?
c. If two legos are selected at random, what is the probability
that they are both red?
d. If four legos are selected at random, what is the probability
that the legos are not orange?
10. The Cayuga Indians played a game of chance called DISH,
in which they used 6 flattened peach stones blackened on one
side and plain on the other. They tossed the peach stone and a
point was given for each stone that was black side up. Assume
that a black face had a .4 chance of facing up. Find the
probabilities of each possible outcome if a success was a
blackened side, face up.
11. You are one of 5 people playing BINGO.
a. What is the probability of winning any one game?
b. What is the probability of losing any one game?
c. What is the mathematically expected number of dollar for
playing 4 games if
 Win 0 games, play $2
 Win 1 game, break even (pay nothing, win nothing)
 Win 2 games, win $3
 Win 3 games, win $5
 Win all 4 games, win $100