×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## Math 1620 Week 1, Class 2

by: Mariah Figueiredo

28

0

5

# Math 1620 Week 1, Class 2 MATH 1620

Mariah Figueiredo
RPI

Enter your email below and we will instantly email you these Notes for Contemporary Mathematical Ideas in Society

(Limited time offer)

Unlock FREE Class Notes

### Enter your email below to receive Contemporary Mathematical Ideas in Society notes

Everyone needs better class notes. Enter your email and we will send you notes for this class for free.

Probability
COURSE
Contemporary Mathematical Ideas in Society
PROF.
Wing Sze E Kam
TYPE
Class Notes
PAGES
5
WORDS
CONCEPTS
Math
KARMA
Free

## Popular in Mathematics (M)

This 5 page Class Notes was uploaded by Mariah Figueiredo on Wednesday January 27, 2016. The Class Notes belongs to MATH 1620 at Rensselaer Polytechnic Institute taught by Wing Sze E Kam in Spring 2016. Since its upload, it has received 28 views. For similar materials see Contemporary Mathematical Ideas in Society in Mathematics (M) at Rensselaer Polytechnic Institute.

×

## Reviews for Math 1620 Week 1, Class 2

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 01/27/16
Week1 11.3-11.4 Combinations, Fundamentals of Probability Spring 2016 Permutation vs Combination Permutation Combination Order MATTERS!! DOES NOT MATTER Formula n ! nP r n ! nPr▯ nCr▯ ▯ ▯n▯r ! r ! r ! n▯r ! Permutation or Combination? 1. How many different 4-letter passwords can be formed from the letters A, B, C, D, E, F, and G if no repetition of letters is allowed? 2. 50 people purchase raffle tickets. 3 winning tickets are selected at random. In how many different ways can the prizes be awarded? Example 1 A 4-person committee is to be chosen from a group of 7 students. How many different committees could be formed? Q: How did we get the formula for combination? A: Let’s illustrate this with an example – Example 2 Suppose we have 4 letters A, B, C, and D. The number of permutations of these 4 letters taken 3 at a time is 1 The permutations are: There are combinations. Number of permutations = Number of combinations Example 3 There are 13 children on a playground, 8 boys and 5 girls. a. Determine the number of ways to select 7 from them. b. Find the number of ways to select 7, if 4 are boys and 3 are girls. 2 Fundamentals of Probability Q: What is an “experiment”? A: An experiment is a process that is e.g. rolling a die, drawing a card from a deck, etc. Probability of an event, number of outcomes in E P E ▯ ; tota number of possible outcomes 0 ▯ P E ▯1 ; P E ▯ P not E ▯1 Example 4 A die is tossed once. Find the probability of rolling a. a 5 b. a number NOT a 5 c. a number < 8 d. a number > 8 3 Example 5 A jar has 6 black balls, 4 red balls, 7 blue balls. If a ball is drawn at random, find the probability that it is a red one? Example 6 Suppose 1 card is dealt from a standard 52-card deck. Find the probability of being dealt a. a Queen b. a diamond c. a picture card d. NOT a picture card 4 Suggested HW 11.3 : # 10, 13, 18, 28, 31, 37, 40 11.4 : # 5, 6, 12, 13, 16, 18 Exercises 11.3 WRITE the formula for nC r and use it to evaluate #10, #13, #18, and #28. #10. 12C 5 #13. C7 7 #18. C 6 0 5C 1 7 2 #28. 12C 3 #31. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take? #37. In how many ways can a committee of 4 men and 5 women be formed from a group of 7 men and 7 women? #40. A mathematics exam consists of 10 multiple-choice questions and 5 open-ended problems. If an examinee must answer 8 of the multiple-choice questions and 3 of the open-ended problems, in how many ways can the questions and problems be chosen? Exercises 11.4 For #5 and #6, a die is rolled Find the probability of rolling #5 a number < 3. #6 a number > 4. For #12, #13, #16, #18, a card is dealt from a standard 52-card deck. Find the probability of being dealt #12 a jack. #13. a club. #16. a card > 3 and < 7. #18. the ace of clubs. 5

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com