<p>9.7 – Probability</p><p>Learning Target: I can find the probabilities of events</p><p>Probability – if an event can ______in s ways and ______in f ways, then its probability is .</p><p>EX: A bag contains 3 red balls and 5 green balls. If one ball is selected at random what is the probability that it is red?</p><p>What is the probability that it is green?</p><p>Notice that probabilities must always add to __: </p><p>EX: One bag of gummy worms contains 15 red, 10 yellow, and 6 green. Find the probability of each selection.</p><p> a.) One red</p><p> b.) Not picking a yellow</p><p> c.) Picking one green</p><p> d.) Not picking a red</p><p>Odds – the ____ of successful ______to failures</p><p>EX: What are the odds of drawing a 5 from a standard deck of 52 cards? EX: On an ACT Review Guide, there are 5 math questions and 4 science questions. Arthur picks a question at random to answer. What are the odds of not picking a science question?</p><p>EX: What are the odds that a person chosen at random got a passing grade on an algebra test if the scores were 3 A’s, 4 B’s, 10 C’s, 2 D’s, and 2 F’s?</p><p>Probability of Two Independent Events:</p><p>If two events A and B are ______, then the probability of both events occurring is found by P(A and B)=______</p><p>EX: A bag contains 5 red marbles and 4 white marbles. A marble is to be selected and replaced in the bag. A 2nd selection is then made. What is the probability of selecting 2 red marbles?</p><p>EX: A box contains 5 triangles, 6 circles, and 4 squares. If a figure is removed, replaced, and a second is picked, what is the probability that a triangle and then a circle will be picked? EX: A jar contains 7 lemon gumdrops, 3 cherry gumdrops, and 8 rainbow gumdrops. What is the probability of selecting 2 lemon in succession providing each gumdrop is replaced?</p><p>Probability of Two Dependent Events:</p><p>If 2 events A and B are dependent, then the probability of both events occurring is found by P(A and B)=______</p><p>EX: There are 7 dimes and 9 pennies in a purse. Suppose two coins are to be selected at random, without replacing the first one. Find the probability of picking a penny and then a dime.</p><p>EX: What is the probability of drawing 2 cards showing odd numbers from a set of cards that show the first 20 counting numbers if the 1st card is not replaced?</p><p>EX: There are 3 quarters, 4 dimes, and 7 nickels in a change purse. Suppose 3 coins are to be selected without replacement. What is the probability of selecting a quarter, then a dime, and then a nickel?</p><p>Mutually Exclusive – events that ______occur at the _____ time</p><p>______Events – two events that can occur at the same time EX: What is the probability of drawing a jack or a king from a standard deck of cards?</p><p>EX: A card is selected from a standard deck of cards. What is the probability that it is a red card or an ace?</p><p>EX: 3 cards are selected from a standard deck. What is the probability of selecting a king, queen, or a red card?</p><p>EX: An Easter basket contains 45 dyed eggs: 15 yellow, 12 green, and 18 red. What is the probability of selecting a green or red egg?</p><p>EX: The letters from the word LOVE and LIVE are placed on cards and but in a box. What is the probability of selecting an L or O from the box? EX: The letters of the alphabet are placed in a bag. What is the probability of selecting a vowel or the letters QUIZ?</p><p>EX: Two coins are tossed. What is the probability that one will land heads up and the other will land hands down?</p><p>EX: A card is drawn from a standard deck of playing cards. What is the probability that the card is a heart?</p><p>EX: A 6-sided die is tossed twice. What is the probability that the total of the 2 tosses is 5?</p><p>EX: A card is selected from a standard deck. What is the probability that the card is either a club or an ace?</p><p>EX: Two integers from 1 to 30 are chosen by a random number generator. What is the probability that both numbers are less than 12? EX: A sales representative makes a sale at approximately one-third of all calls. If, on a given day, the representative contacts five potential clients, what is the probability that a sale will be made with each of the five contacts?</p><p>EX: A sales rep makes a sale at approximately one-third of all calls. If, on a given day, the representative contacts 5 potential clients, what is the probability that a sale will be made with AT LEAST one contact?</p><p>HW Pg.709 3-48 3rds</p><p>Quiz 9.5-9.7 tomorrow (Wednesday due to ACT Testing)</p>