Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Problem of the Day 1. You have 8 nice shirts, 5 pairs of nice pants
Document related concepts
Transcript
Problem of the Day 1. You have 8 nice shirts, 5 pairs of nice pants, and 7 pairs of Jordans that will match. How many days can you go to school wearing a different outfit? 2. How many different 3 number combos can your P.E. locker have if the lock has the numbers 1 to 30 and no number can repeat? Problem of the Day How many different license plates with 4 letters and 3 numbers are possible(no repeated letters or numbers)? How many different 3 number combinations can your P.E. lock have if there are the numbers 120 and no adjacent numbers can be repeated? Problem of the Day How many different ways can we select 5 classrooms to give a survey to if RHS has 95 classrooms? How many different license plates with 7 letters or numbers are possible with no repeats? If there are 30 books on your book shelf, how many different ways can you pick 6 to read? Problem of the Day In a 52 card deck, how many 5 card hands(poker hands) can be dealt? Problem of the Day In a group of 8 friends, they only have 3 Taylor Swift tickets. How many different groups can go to the concert? How many 4letter codes are possible from the first 13 letters of the alphabet(no letter repeated)? Problem of the Day 1. Given a standard 52 card deck, you draw 1 card. Find the probability of drawing an even numbered card. Find the probability of drawing a spade or red card. 2. When rolling 2 fair dice... Find the probability of rolling a sum less than 6. Problem of the Day 1. Given a standard 52 card deck, you draw 1 card. Find the probability of drawing an even numbered card. Find the probability of drawing a spade or red card. 2. When rolling 2 fair dice... Find the probability of rolling a sum greater than 10. Problem of the Day Given a standard 52 card deck, you draw 2 cards with replacement. What is the probability that you draw 2 face cards? What is the probability you draw at least 1 black card? What is the probability that you draw a spade then a heart? Problem of the Day Given a standard 52 card deck, you draw 2 cards without replacement, find the following. What is the probability that you draw 2 spades? What is the probability you draw at least 1 heart? 115 Multiplication Principle, Permutations, and Combinations Permutations n elements taken r at a time(nPr) order matters 8 horses are racing How many different finishing orders are there? How many top 3 finishing orders? Formulas n! P n r P 8 4 Cr n C3 6 How many 4 letter words are possible(not necessarily actual words) if no letter can be repeated? What if letters can be repeated? How many different license plates with 4 letters and 3 numbers are possible? Combinations combination n elements taken r at a time(nCr) order does not matter 10 people are racing How many ways can 3 people finish in the top 3 to move on to the next race? How many different pairings(2) for a relay race can we have? Combinations There are 6 student council Executive Board members. How many different ways can we form a 3 person Prom Committee? There are 12 players on the basketball team. How many different starting lineups can you make? Practice Problems How many different 4 number phone codes are possible? How many 4 number codes are possible if no number can be repeated? How many different 4 number codes are possible if no adjacent numbers can be the same? The U.S. Senate consists of 100 senators. How many different ways can we form the Senate Defense Committee(19 members)? Once we have the committee how many different ways can we pick the Chairman and ViceChairman? Practice Problems How many different 1 topping pizzas can be made from 3 different crusts, 3 different sauces and 8 toppings? How many different ways can 12 people finish in the 2 mile race? What about 1st, 2nd, or 3rd? If this is the first heat, how many ways can the top 3 move on to the championship race? Practice Problems A tshirt company held a contest for new designs. 15 finalists were selected. How many different ways can online voting select a 1st, 2nd, 3rd place? There are 10 members of Twin Club. How many different ways can they select a President, Vicepresident, Secretary, and Grievance Chair? Practice Problems A student checks out 6 books from the library. In how many different orders can the student read the books? How many different license plates can be made with 1 number and 6 letters? pgs 843844:13,1015,1721,27,29,31,35 Probability What are the possible outcomes when flipping a coin? What are the possible outcomes when rolling a single die? What are the possible outcomes when flipping a coin then rolling a single die? Things to remember Cards: Dice: Probabiliity For an event A, the probability of A....... P(A) = __________________ A = picking a boy at random P(A) = __________ Addition Rule Find the probability of rolling a 4 or an even when rolling a fair die. P(A U B) = P(A) + P(B) P(A B) Multiplication Rule Find the probaility of drawing a King then an Ace. P(A B) = P(A) P(B) Female Male Smokers 15 21 Nonsmokers 31 53 Given the table with survey responses from 120 people, answer the following. Given a randomly selected person, what is the probability that they are female? What is the probability that the person is male or a smoker? Female Male Smokers 15 21 Nonsmokers 31 53 Given the table with survey response from 120 people, answer the following. Given a randomly selected person, what is the probability that they are a smoker? What is the probability that the person is a female nonsmoker? Given a single, fair die What is the probability of rolling a 3? What is the probability of rolling an even number? What is the probability of rolling a 5 or 6? Given a standard 52 card deck of cards What is the probability of drawing an Ace? What is the probability of drawing a face card? What is the probability of drawing a 7 or 9? Given a standard 52 card deck of cards, and drawing a single card What is the probability of drawing a spade or heart? What is the probability of drawing a king or diamond? What is the probability of drawing a face card or club? Given rolling 2 fair dice. What is the probability of rolling an 11? What is the probability of rolling a 6? What is the probability of rolling a 7 or 8? More Difficult Probability Concepts With Replacement Without Replacement Given a standard 52 card deck, you draw 2 cards (with replacement)..... What is the probability they are both hearts? What is the probability the first is a black card and the second is a red card? More Difficult Probability Concepts With Replacement Without Replacement Given a standard 52 card deck, you draw 2 cards (without replacement)..... What is the probability they are both hearts? What is the probability the first is a face card and the second is a 4? More Difficult Probability Concepts Complement Rule When rolling 2 dice.... What is the probability of rolling at least a 5? What is the probability of rolling less than 11? More Difficult Probability Concepts Complement Rule Given a standard 52 card deck, you draw 2 cards.... What is the probability of drawing at least 1 face card? What is the probability of drawing at least 1 red card? More Difficult Probability Concepts Complement Rule Given a standard 52 card deck, you draw 2 cards.... What is the probability of drawing at least 1 king card? Practice Problems How many 3 digit area codes are possible(can not start with 1 or 0)? How many ways can 20 people finish 1st, 2nd, 3rd, 4th in a race? Practice Problems Your local Subway is lame and only has 3 choices for bread, 3 choices for cheese, 2 types of meat, and 6 choices of veggies. If you can only have one of each, how many sandwiches are possible? How many if you get to pick 2 veggies? How many zip codes are possible?(0 can't be first) Practice Problems How many different license plates with 5 numbers and 3 letters can be made? (How many if no number or letter can be repeated) How many different 3 number locker combinations can you have if the numbers used are 1 to 40( no number repeated)? (How many if you can not have adjacent numbers the same?) Given 2 fair dice........ Find the probability of rolling a 9. Find the probabilty of rolling less than an 11. The table shows the results of a University of Texas study about the incidence of Hepititis C. Hepatitis C No Hep C Total 17 35 52 8 53 61 No Tattoos 22 491 513 Total 47 579 626 Find the probability Tattoo from a parlor that a randomly selected person has Tattoo from other source Hepatitis C? Has a tattoo or has Hepatitis C? Has a tattoo and Hepatitis C? The table shows the results of a University of Texas study about the incidence of Hepititis C. Suppose you randomly select 2 people. Tattoo from a parlor Tattoo from other source No Tattoos Find the probability that they both have Total tattoos. Find the probability that at least 1 has Hepatitis C. Hepatitis C No Hep C Total 17 35 52 8 53 61 22 491 513 47 579 626 A bag contains 6 blue marbles and 4 yellow marbles. You draw 3 marbles at the same time. Find the probability that they are all yellow. Find the probability that you get at least 1 yellow.
