Download Test 3 Practice Name___________________________________

Test 3 Practice
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Consider the Venn diagram below. Find n((A ∩ B) ∪ C).
1)
A) 21
B) 8
C) 13
D) 31
E) none of these
Out of 30 job applicants, 11 are female, 17 are college graduates, 7 are bilingual, 3 are female college graduates, 2 are
bilingual women, 6 are bilingual college graduates, and 2 are bilingual female college graduates.
2) How many college graduates are male?
2)
A) 10
B) 18
C) 14
D) 4
E) none of these
Solve the problem.
3) How many five digit license plates can be formed allowing repetition of letters and numbers
including 0?
A) 265
3)
B) 365
C) 10 ∙ 26
D) 36 ∙ 35 ∙ 34
E) none of these
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
4) You are to create a 5 digit password for your e-mail account using the digits 0 to 9 and
the letters A though E.
(a) How many different codes can be made?
(b) If you are only allowed to use a digit or letter once, how many different codes can be
made?
4)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
5) In how many ways can a student select 8 out of 10 questions to work on an exam?
A) 100,000,000 ways
B) 45 ways
C) 90 ways
D) 16 ways
1
5)
6) A coin is tossed seven times and the sequence of heads and tails is observed. What is the number
of different outcomes having exactly three heads?
A) 210
B) 21
C) 35
D) 10
E) none of these
Solve the problem.
7) How many 5-card poker hands consisting of 2 aces and 3 kings are possible with an ordinary
52-card deck?
A) 12
B) 288
C) 6
D) 24
6)
7)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
8) An experiment consists of tossing a coin three times and recording the sequence of
heads and tails.
(a) What is the sample space?
(b) Determine the event E = "More heads than tails occur."
(c) Determine the event F = "The number of heads equals the number of tails."
8)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
9) Two fair die are rolled. What is the probability that the numbers that appear add to 4?
1
A)
12
B)
1
6
C)
1
36
D)
1
5
9)
E) none of these
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
10) The probability that a student will pass mathematics is 0.8, that she will pass physics is
0.65 and that she will pass both courses is 0.6. Find the probability that
(a) she will pass at least one of the two courses.
(b) she will pass physics but not mathematics.
(c) she will fail both courses.
11) A factory produces screws, which are packaged in boxes of 30. Four screws are selected
from each box for inspection. A box fails inspection if two or more of these four screws
are defective. What is the probability that a box containing two defective screws will
pass inspection?
2
10)
11)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
12) Two cards are drawn (without replacement) from an ordinary deck of 52 cards. Find the
probability that the second card is black if the first card is the ace of hearts.
2
A)
51
B)
26
51
C)
1
2
D)
1
104
E) none of these
3
12)
Answer Key
Testname: TEST3_P
1) D
2) C
3) B
4) (a)
(b)
5) B
6) C
7) D
8) (a)
(b)
(c)
9) A
10) (a)
(b)
(c)
11)
155 = 759,375
15 ∙ 14 ∙ 13 ∙ 12∙ 11= 360,360
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
{HHH, HHT, HTH, THH}
∅
0.85
0.05
0.15
2
1- 2
28
2 = 143 ≈ 0.986
30
145
4
12) B
4