Question
In: Advanced Math
5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and...
5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and 3 C’s), I select one at random. Determine the following probabilities.
(a) Prob (my word is a palindrome and has no two C’s next to each other).
(b) Prob (my word has two C’s next to each other and the other C not next to them).
(c) Prob (my word has the three C’s next to each other and the B’s apart from each other). Leave your probabilities with factorials in them.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and...
5. Of the 9-letter passwords formed by rearranging the letters
AAAABBCCC (4 A’s, 2 B’s, and 3 C’s), I select one at random.
Determine the following probabilities.
(a) Prob (my word is a palindrome and has no two C’s next to
each other). 4 points
(b) Prob (my word has two C’s next to each other and the other C
not next to them).
(c) Prob (my word has the three C’s next to each other and the
B’s apart...
4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How...
4 -letter words'' are formed using the letters A, B, C, D, E, F,
G. How many such words are possible for each of the following
conditions?
(a) No condition is imposed.
Your answer is :
(b) No letter can be repeated in a word.
Your answer is :
(c) Each word must begin with the letter A.
Your answer is :
(d) The letter C must be at the end.
Your answer is :
(e) The second letter must...
Find the number of five letter words that can be formed from the letters of the...
Find the number of five letter words that can be formed from the
letters of the word PROBLEMS. ( please explain with details.)
(a) How many of them contain only consonants?
(b) How many of them begin and end in a consonant?
(c) How many of them begin with a vowel?
(d) How many contain the letter S?
(e) How many begin with B and also contain S?
(f) How many begin with B and end in a vowel?
(g)...
Consider a sample space with 3 A’s and 2 B’s. Assume that each sample point is...
Consider a sample space with 3 A’s and 2 B’s. Assume that each
sample point is equally likely to be selected.
(a) What is the probability that a randomly selected set of 2
items will include all B’s?
(b) What is the probability that a randomly selected set of 3
items will include all A’s? 1
(c) What is the probability that a randomly selected set of 2
items will include 1 A and 1 B?
(d) What is the...
A password is a sequence of letters (a–z) and digits (0–9). Findthe number of passwords...
A password is a sequence of letters (a–z) and digits (0–9). Find
the number of passwords of length 10 under the constraints in (a),
(b) or (c) (three separate problems). Express your answer using
factorials and integers, products and ratios of them, and/or sums
of such things.(a) There are 3 letters and 7 digits, and at most one ‘9’.(b) There are 6 letters and 4 digits, and no digit occurs
twice.(c) No letters are used BUT the first four digits...
A password is a sequence of letters (a–z) and digits (0–9). Find the number of passwords...
A password is a sequence of letters (a–z) and digits (0–9). Find
the number of passwords of length 10 under the constraints in (a),
(b) or (c) (three separate problems).
Express your answer using factorials and integers, products and
ratios of them, and/or sums of such things.
(a) There are 3 letters and 7 digits, and at most one ‘9’.
(b) There are 6 letters and 4 digits, and no digit occurs
twice.
(c) No letters are used BUT the...
Grades assigned by an economics instructor have historically followed a symmetrical distribution: 5% A’s, 25% B’s,...
Grades assigned by an economics instructor have
historically followed a symmetrical distribution: 5% A’s, 25% B’s,
40% C’s, 25% D’s, and 5% F’s. This year a sample of 150 grades were
drawn and the grades were recorded. The sample had 11 A’s; 32 B’s;
62 C’s; 29 D’s; and 16 F’s. Can you conclude, at the 10% level of
significance, that this year’s grades are
distributed differently from grades in the past?
Grades assigned by an economics instructor have historically followed a symmetrical distribution: 5% A’s, 25% B’s,...
Grades assigned by an economics instructor have
historically followed a symmetrical distribution: 5% A’s, 25% B’s,
40% C’s , 25% D’s, and 5% F’s. This year, a sample of 150 grades
was drawn and the grades (1 = A, 2 = B, 3 = C, 4 = D, and 5 = F)
were recorded. Can you conclude, at the 10% level of significance,
that this year’s grades are distributed differently from grades in
the past? *****I dont want the excel...
a) How many four-letter words can be formed from the letters of the word LAUNDRY if each...
a) How many
four-letter words can be formed from the letters of the word
LAUNDRY if each letter can only be used one time in a word? Y is
NOT considered a vowel in this word.
b) How many contain the letter
Y?
c) How many contain both
vowels?
d) How many of them contain
exactly three consonants?
e) How many of them begin and end
in a consonant?
f) How many begin with
N and end in a vowel?
g) How many begin with N and...
How many different 4-letter radio station call letters can be made a. if the first letter...
How many different 4-letter radio station call letters can be
made
a. if the first letter must be C, W, P, or N and no letter may be
repeated?
b. if repeats are allowed (but the first letter is C, W, P, or
N)?
c. How many of the 4-letter radio station call letters (starting
with C, W, P or N) have no repeats and end with the letter R?
a. If the first letter must be C, W, P...
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