Download presentation
Presentation is loading. Please wait.
Published byHilary Hill Modified over 8 years ago
1
Consecutive Trials (multiple events) Consecutive trials are when a situation occurs multiple times – I draw two, three, four or more cards. – I throw the die two, three, four, or more times – I draw two, three, four, or more marbles from a bag Independent Events – Events that are considered separately each on different consecutive trials. Dependent Events – Events that are considered together on different consecutive trials
2
Wednesday, August 26, 2015 DO NOW 1.In your own words, describe what the word independent means 2.In your own words, describe what the word dependent means 3.Give 2 examples of each
3
Probability of Independent & Dependent Events Vocabulary: Dependent Events – The occurrence of one event influences the other event. Independent Events – The occurrence of one event does not depend on the occurrence of the other event. Conditional Probability – The probability that B will occur given that A has occurred.
4
Probability of Independent Events If A and B are independent events, then the probability that both A and B occur is: = X Written: P(A and B) = P(A) x P(B) A BP(A)P(B)
5
SAT Test Practice For a fundraiser, a class sells 150 raffle tickets for a mall gift certificate and 200 raffle tickets for a book of movie passes. You buy 5 raffle tickets for each prize. What is the probability that you win both prizes?
6
In the previous example, what is the probability that you win the mall gift certificate but not the booklet of movie passes?
7
Find Probability of 3 Independent Events In BMX meet, each heat consists of 8 competitors who are randomly assigned lanes from 1 to 8. What is the probability that a racer will draw lane 8 in the 3 heats in which the racer participates?
8
A game spinner is divided into ten equal regions numbered 1 to 10. What is the probability that 3 consecutive spins result in perfect squares? STOP & Practice
9
Dependent Events If A and B are dependent events, then the probability that both A and B occur is: P(B|A) is read “the probability that B occurs given that A has occurred”
10
Comparing independent and dependent events You randomly select two cards from a standard deck of 52 cards. What is the probability that the first card is not a heart and the second is a heart if a)you replace the first card before selecting the second b)you do not replace the first card? Independent Dependent
11
Find probability of 3 dependent events Ann, Sue, then Jane go to the same store at different times to buy costumes for a costume party. There are 15 different types of costumes at the store, and the store has at least 3 duplicates of each costume. What is the probability that they each choose different costumes. A – Ann chooses a costume B – Sue chooses a costume different than Ann’s C – Jane chooses a costume different than Ann’s and Sue’s P(A & B & C) = P(A) x P(B|A) x P(C|A & B)
12
Thursday, August 27, 2015 DO NOW
13
Conditional Probability Conditional probability is the probability of something happening given a limiting condition. – What is the probability of drawing a queen of spades given the card is black? P(queen of spades|black) – What is the probability of rolling a 12 sided die and getting a 4 given the number is even? P(4|even)
14
Find a conditional probability The table shows the numbers of tropical cyclones that formed during the hurricane seasons from1988 to 2004. Use the table to estimate a) the probability that a future tropical cyclone is a hurricane and b) the probability that a future tropical cyclone in the Northern Hemisphere is a hurricane. Type of CycloneNorthern Hemisphere Southern Hemisphere Tropical depression19918 Tropical storm398200 Hurricane545215
15
Use the information in the Cyclone table to find a)The probability that a future tropical cyclone is a tropical storm. b) The probability that a future tropical cyclone in the Southern Hemisphere is a tropical storm. Find the probability of drawing the given cards from a standard deck a) with replacement and b) without replacement A spade, then a club A jack, then another jack Type of CycloneNorthern Hemisphere Southern Hemisphere Tropical depression19918 Tropical storm398200 Hurricane545215
16
Whats a Deck of Cards look like?
17
contingency tables show frequencies produced by cross-classifying observations e.g., pottery described simultaneously according to vessel form & surface decoration polishedburnishedmatte bowl47283 jar30428 olla64525
18
PROBLEM : 1.Give the total number of outcomes of choosing a hamburger, hot dog, or chicken and potato salad, coleslaw, or beans. Use a tree diagram. Answer: Hamburger Hot dog chicken potato salad beans coleslaw
19
AFM/Math 3 Material:
20
https://www.mathsisfun.com/data/probability-events-conditional.html Lets draw a picture…
22
Safety Using observations made of drivers arriving at a certain high school, a study reports that 69% of adults wear seat belts while driving. A high school student also in the car wears a seat belt 66% of the time when the adult wears a seat belt, and 26% of the time when the adult does not wear one. What is the probability that a high school student wears a seat belt? A – Adult is wearing a seat belt B – Student wears a seat belt
23
A high school basketball team leads at halftime 60% of the games in a season. The team wins 80% of the time when they have the halftime lead, but only 10% of the time when they do not. What is the probability that the team wins a particular game during the season?
Similar presentations
© 2024 SlidePlayer.com. Inc.
All rights reserved.