1. Jill is playing cards with her friend when she draws a card from a

1. Jill is playing cards with her
friend when she draws a card
from a pack of 20 cards
numbered from 1 to 20. What is
the probability of drawing a
number that is a perfect square?
1, 4, 9, 16 are all perfect squares
so 1/5
2. Each of the letters in the word
SAMSUNG are on separate cards,
face down on the table. If you
pick a card at random, what is
the probability that its letter will
be S or U?
P(S) = 2/7 P(U) = 1/7
2/7 + 1/7 = 3/7
3. A magician showed a magic
trick where he picked one card
from a standard deck. Determine
what the probability is that the
card will be a queen card or a
black card?
P(Q) = 4/52 P(B) = 26/52
P(Q∩B) = 2
4/52 + 26/52 – 2/52 = 28/52 =
7/13
4. A bag contains ten black
marbles, twenty white marbles,
and five grey marbles. You pick
one and without replacing pick
another. What is the probability
that both marbles will be grey?
5/35 * 4/34 =
1/7 * 2/17 =
2/119
5. You ask a friend to think of a
number from four to twelve.
What is the probability that his
number will be 8?
1/9
6. Each of letters in the word
ALGEBRA are on separate cards,
face down on the table. If you
pick a card at random, what is
the probability that you select an
A, replace the card, and then
select a B?
2/7 * 1/7 = 2/49
7. You roll a SIX sided die and
flip a coin. What is the
probability that the value of the
roll will be one AND the coin will
land on tales?
1/6 * ½ = 1/12
8. You roll a SIX sided die. What
is the probability that the value
of the roll will be even or the
number will be less than 3?
3/6 + 2/6 – 1/6 = 4/6 = 2/3
9. A bag contains 5 blue sticks, 4
red sticks, and 3 orange sticks
and you ask a friend to pick one
without looking. What is the
probability that the stick will be
blue?
5/12
10. A bag contains 5 blue sticks,
4 red sticks, and 3 orange sticks
and you ask a friend to pick one
without looking. What is the
probability that the stick will be
yellow?
0
11. A bag contains 5 blue sticks,
4 red sticks, and 3 orange sticks
and you ask a friend to pick one
without looking. How many
different ways can you choose 3
of them?
12 C 3 = 220
12. A bag contains 5 blue sticks,
4 red sticks, and 3 orange sticks
and you ask a friend to pick one
without looking. How many
ways can they be lined up if the
first one must be blue and the
last one must be orange?
5 * 3 * 10! = 54432000
13. There are 12 kids in a
classroom. How many ways can
a line-up of the students be
made?
12! = 479001600
14. There are 18 kids in a
classroom. How many ways can
a groups of 6 be made?
18 C 6 = 18564
15. There are 18 kids in a
classroom. How many ways can
a resource manager, a time
keeper, and a team leader be
selected?
18 P 3 = 4896
16. 15/35 people in the class
have a dog. 12/35 people in the
class have a cat. 7/35 people in
the class have a dog and a cat.
What is the probability that
someone does not have a cat or a
dog?
15/35 + 12/35 – 7/35 = 20/35
1 – 20/35 = 15/35 = 3/7
17. The Shoe store sells 9
different styles of running shoes,
each available in 2 colors. How
many combinations of color and
style are there?
9*2 = 18
18. From a group of 9 different
books, 4 books are to be selected
and arranged on a shelf. How
many arrangements are
possible?
9 P 4 = 3024
19. How many different
combinations are possible if 10
numbers are grouped five at a
time?
10 C 5 = 252
20. How many four-digit
numbers can be formed from the
digits 2, 3, 4, 5, 6 & 7 without
repetition?
6 P 4 = 360
21. How many ways can 20
compact discs be arranged in
alphabetical order?
1
22. How many 4-digit
arrangements can be created
using the digits 5, 7, 8 and 2 if
five must be the first number?
3! = 6
23. What is the probability that
you roll an odd number above 5
on a 6 sided die?
0
24. Jerry deposited $20,000 on
20000 + (9-1)1750 = 34000
an investment that will give
$1,750 for every year that his
money stays in the account.
How much money will he have in
his account by the end of year 8?
25. A theater has 32 rows of
seats. If there are 26 seats in the
1st row, 30 in the 2nd, 34 in the
3rd, and so on, how many seats
are there in all?
26 + (32 – 1 )(4) = 150
32/2(26 + 150) = 2816
27. Evaluate the series related to 198
the sequence:
18, 24, 30, 36, 42, 48
26. Suppose you go to work for a
company that pays one penny on
the first day, 2 cents on the
second day, 4 cents on the third
day and so on. If the daily wage
keeps doubling, what will you
total income be for working 31
days?
(.01 - .01(2)31)/ (1 – 2) =
21,474,836.47
28. Evaluate the series related to
the sequence:
2, -8, 32, -128, 512, -2048
-1638
1570
30.
29.
-111974
31.
690
32. Evaluate the geometric series 719835
given:
33. Find the explicit formula
given:
-3, -8, -13, -18…
an = 2 – 5n
34. Find the explicit formula
given:
3, -6, 12, -24
an = 3* -2(n-1)