Numeric Response
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1.
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Three marbles are randomly selected,
without replacement, from a bag containing two red, two blue and two green marbles. What is the
probability that one marble of each color is selected? Express your answer as common
fraction.
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2.
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3.
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Each of six softball teams is
to play each other team once. How many games are needed?
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4.
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What is the probability that a randomly-selected two-digit number is a
multiple of 14? Express you answer as common fraction
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5.
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Sixty percent of all
cereal boxes have a prize inside. What is the probability that two randomly selected cereal
boxes both contain a prize? Express your answer as a common fraction
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6.
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A six-faced die is weighted so
that the probabilities of rolling a 1, 2 and 3 are equally likely; the probabilities of rolling a 4,
5 and 6 are equally likely; and the probability of rolling a 5 is four times the probability of
rolling a 3. What is the probability that a 2 or a 5 occurs on a single roll of the die?
Express your answer as a common fraction
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7.
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8.
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Joshua flips three coins. What is the
probability that they are neither all heads nor all tails? Express your answer as a common
fraction.
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9.
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In how many ways can a pair of students be selected
from a group of five students?
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10.
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Melinda will roll two
standard six-sided dice and make a two-digit number with the two numbers she rolls. For
example, if she rolls a 6 and 3, she can either form 36 or 63. What is the probability that she
will be able to make an integer between 10 and 20? Express your answer as a common
fraction
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11.
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A bag contains 2 red chips and 3 blue chips. Kay will take two chips out of
the bag at the same time. What is the probability that the chips will be different colors? Express
your answer as a common fraction
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12.
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A team averages 7 losses for every 13 games that it
wins. If ties are not permitted, what is the probability that the team will win its next
game? Express your answer as a percent.
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13.
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When three fair 6-sided dice are tossed, what is
the probability of tossing at least one 6? Express your answer as a common
fraction.
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14.
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Each of four students hands in
a homework paper. Later the teacher hands back the graded papers randomly, one to each of the
students. In how many ways can the papers be handed back such that every student receives
someone else’s paper? The order in which the students receive their papers is
irrelevant.
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15.
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 Common fraction.
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16.
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The three-digit positive
integer N has a ones digit of 3. What is the probability that N is divisible by 3?
Express your answer as a common fraction
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17.
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An
integer is randomly selected from the integers 0 through 99, inclusive. What is the probability that
the integer is in the range 10 through 20, inclusive? Express your answer as a common
fraction
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18.
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Using the letters A, B, C and D it is possible to write 64 “words”
of three letters. Three of these words are ABB, BAD and CCC. When the 64 words are placed in
alphabetical order, what is the 19th word?
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19.
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Owen has exactly a 50% chance of throwing a winner on each turn in ring toss.
If he took three turns in ring toss and at least one of the turns was a winner, what was the
probability that all three tosses were winners? Express your answer as a common
fraction.
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20.
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The Corner Deli has four types
of bread, five types of meat, and three types of cheese. Sandwiches come in three kinds: one bread
and one meat; one bread and one cheese; or one bread with one meat and one cheese. How many sandwich
combinations are possible at The Corner Deli?
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21.
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A
four-digit positive integer (leading digit not 0) is chosen at random. What is the probability that
at least two digits are the same? Express your answer as a common
fraction
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22.
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A
standard six-faced die and a standard four-faced die are both rolled once. The cube’s faces are
numbered 1- 6, and the tetrahedron’s faces are numbered 1- 4. What is the probability that the
sum of the downward-facing faces is greater than 6? Express your answer as a common
fraction.
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