O LD T EST Q UESTION … 1) A city map is placed on a coordinate grid. The post office is located at the point P(5, 35), the library is located at the point L(15,10), and the fire station is located at the point F(9, 25). What is the ratio of the length of PF to the nearest length of LF ?
G ET OUT : WARM UP PACKET, HOMEWORK DO DAY 4 WARM UP #1-4!
P ROBABILITY R ULES !
V OCABULARY Outcome – possible result of a situation or experiment Event – maybe a single outcome or a group of outcomes Sample space – set of all possible outcomes
W HAT DOES IT M EAN ? Probability – measure of the likelihood that an event will occur You will have homework tonight! You will have a pop quiz on probability tomorrow! You will watch a movie tomorrow in my class!
B ASIC P ROBABILITIES Given a fair coin, what is the probability that you flip a head? Given a fair die, what is the probability you … roll a 3? Roll an even number? Roll a number greater than 2? Less than 1?
A DDITION R ULE FOR DISJOINT EVENTS If A and B are disjoint events, the probability of obtaining either of them is: P(A or B) = P(A) + P(B)
E X 2: Given a deck of cards, what is the probability you… Draw a 2 or a 4? Draw a jack or an ace? Pick a red or jack?
G ENERAL A DDITION R ULE If A and B are events, the probability of obtaining either of them is: P(A or B) = P(A) + P(B) – P(A and B)
E X 2. Given a deck of cards, what is the probability you draw… Red or jack Face card or king Red card or 2
C OMPLIMENT OF AN E VENT All possible outcomes in a sample space that are NOT part of the event P(event) + P(not event) = 1 P(not event) = 1 - P(event) Why? Sometimes it is faster. You can probably get through all of unit 6 without this… but I don’t recommend it… Why? Sometimes it is faster. You can probably get through all of unit 6 without this… but I don’t recommend it…
E X 3: A JAR CONTAINS 10 RED MARBLES, 8 GREEN MARBLES, 5 BLUE MARBLES, AND 6 WHITE MARBLES. 1)What is the probability of not pulling a red marble? 2) What is the probability of pulling a red or blue marble? 3) What is the probability of pulling a white marble and a blue marble?
S TART PRACTICING !
G ET OUT WARM UP PACKET ! Do day 5. It’s long. You have until 7:35 to get all answers on the board. If they are there, I’ll go over them. Otherwise, you better hope you’re classmates did them correctly… Have your homework on your desk! I’m coming to check it and will be annoyed if you don’t have it out!
M ULTIPLICATION R ULE
E X 4: You play tennis regularly with a friend and the outcome of the matches is independent of each other! Assume the chance of you winning any match is 0.6. What is the probability you win the next match? The next TWO matches? Next THREE matches?
H OMEWORK Worksheet #1-15