MAT 130 BCC Event Probability Permutations & Distinguishable Arrangements Exam Practice



2 attachmentsSlide 1 of 2attachment_1attachment_1attachment_2attachment_2

Unformatted Attachment Preview

Mat 130 Test 3 Spring 2021
This is a Take-Home test; please read the instructions in the provided document.
To get full credit you have to show work for all problems except problems 1-6.
Decide whether each statement is true or false. (2 points each)
1. The probability of the complement of an event can be a number strictly smaller than zero.
2. In the context of counting problems, arrangements are called permutations.
3. If the odds in favor of 𝐸 are 𝑎 to 𝑏, then P(E) =
Evaluate each expression. (4 points each)
6 ⋅ (10 − 3)!
!∙ !”!! !
Solve the following problems.
7. Suppose we want to form four-digit numbers using the set of digits {0,1, 6, 7, 9}. For example, 9071
and 7710 are such numbers but 0716 is not.
How many such numbers are possible? (7 points)
8. How many 5-letter “words” without repeated letters are possible using the English alphabet?
Assume that any 5 letters make a word and note that the English alphabet has 26 letters. (7 points)
9. Find the number of distinguishable arrangements of the letters of the word ANNABELLA. (7 points)
10. Determine the number of possible settings for a row of five on-off switches under each condition.
(9 points)
(a) There are no restrictions.
(b) The first and fifth switches must be set the same.
(c) No two adjacent switches can both be off.
11. If you toss 8 fair coins, in how many ways can you obtain at least one head? (7 points)
12. How many of the possible 5-card hands from a standard 52-card deck would contain only cards of a
single suit? (7 points)
13. Suppose two fair dice are rolled. Find the probability of rolling the following sums. (9 points)
(a) 7
(b) 3
14. A fair coin is flipped 4 times. Find the expected number of tails. (7 points)
15. For the experiment of drawing a single card from a standard 52-card deck, find the odds against the
event “heart or face card”. (7 points)
16. Six people (three married couples) arrange themselves randomly in six consecutive seats in a row.
Find the probability of each of the following events. (9 points)
(a) Each man will sit immediately to the left of a woman.
(b) The women will be in three adjacent seats. (NOTE: the men do not have to be adjacent)
17. Convert 2346 to base 16. (6 points)
BONUS (5 points)
Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the
probability of the event “the first card is the ace of hearts and the second is black”.
MAT-130-001 Test 3 Take-Home Instructions Spring 2021
1. This test is “open book” which means you are permitted to use any materials handed
out in class, your own notes from the course, the text book, and anything on Moodle.
2. The test must be taken completely alone. Showing or discussing it with anyone is
3. You may not consult any external resources. This means no internet searches, materials
from other classes or books or any notes you may have taken in other classes etc. You
may not use Google or any other search engines for any reason.
4. You may not consult with any other person regarding the test. You may not check your
test answers with any person. You may not discuss any of the materials or concepts in
MAT-130 with any other person.
5. The test is due Wednesday, May 12, 2021, ABSOLUTELY no later than 4:45 P.M.
The penalty for a late submission will be up to 50% off the earned grade, depending on
how late the submission is. For example an earned grade of 100 will be 50.
A grade of zero will be given if any of the prohibited sources have been used.
6. ONLY online text, pdf, jpg, and jpeg formats will be accepted.
7. Please clearly label the answers and make sure that you have uploaded (or sent, if
you can’t upload to Moodle) everything, including work.

Purchase answer to see full


event probability

expected number

distinguishable arrangements

possible settings

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser.

Peter M.
Peter M.
So far so good! It's safe and legit. My paper was finished on time...very excited!
Sean O.N.
Sean O.N.
Experience was easy, prompt and timely. Awesome first experience with a site like this. Worked out well.Thank you.
Angela M.J.
Angela M.J.
Good easy. I like the bidding because you can choose the writer and read reviews from other students
Lee Y.
Lee Y.
My writer had to change some ideas that she misunderstood. She was really nice and kind.
Kelvin J.
Kelvin J.
I have used other writing websites and this by far as been way better thus far! =)
Antony B.
Antony B.
I received an, "A". Definitely will reach out to her again and I highly recommend her. Thank you very much.
Khadija P.
Khadija P.
I have been searching for a custom book report help services for a while, and finally, I found the best of the best.
Regina Smith
Regina Smith
So amazed at how quickly they did my work!! very happy♥.