PROBABILITY coin toss: -A coin has only two sides... so there is a 1/2 chance Example: If you toss a coin 90 times, what is the probability that you get heads? And how many heads will you get? -If you have two coins... the probability is 1/4 The probability is 50% or 45 times. Answer: Because heads is 1/2, the half of 90 is 45! rolling a dice a normal dice has 6 sides normally it goes from 1-6 whenever you have only 1 dice and you roll it only 1 time.... the answer will always be over 6 (/6) "percentage" "chance" definition: chance of an event occurring "odds" P(event): # of favorable outcomes # of possible outcomes Event: one of the outcomes, or a collection of outcomes. Outcome: result of an event Favorable Outcome: the outcome for the specific event THEORETICAL PROBABILITY EXPERIMENTAL PROBABILITY what "should" happen what "actually" happens 0% 25% 50% 75% 100% impossible for event to occur unlikely equally likely to occur very unlikely likely very likely certain to occur example.. P(vowel) = 5/26... what is the theoretical probability that you will get a vowel if you're picking from the alphabet because there are 5 vowels in the alphabet and 26 letters in total. ... you must test it to get it Tree Diagrams FDP Fundamental Counting Principle: multiply the outcomes of each event to get the total outcomes Example: A girl is going to a party and she must choose her outfit from a white or blue shirt, a black, white or beige pants and a pair of red or black shoes Shirts: white blue Pants: white black beige black white beige Shoes: red

black red

black red

black Outcomes: red

black red

black red

black there are 12 possible outcomes. Dependent Events: the outcome of one event that does affect the outcome of another. example: 4 blue, 6 red, and 5 yellow marbles are in a bag. A yellow marble is selected at random and not replaced. what is the probability of getting another yellow marble. total marbles: 15

total marbles without the first yellow marble drawn: 14

P(yellow marble) the first time: 5/15 = 1/3

P(second yellow marble) =4/14= 2/7

P(yellow,yellow)= 1/3 x 2/7= 2/21

Independent Events: Stands alone, the outcome of one event doesn't affect the outcome of the others example: First you flip a coin

and then you roll a dice. P(heads,even)=1/2x1/2=1/4

P(tails,5)=1/2x1/6=1/12

P(tails,8)=1/2x0=0

Spinner: what is the probability that

the spinner lands on a 3? 1/6 what is the probability that

the spinner lands on a 4? 2/6 or 1/3 what is the probability

that the spinner lands

on a primary color 3/4 what is the probability

of landing on red? 2/4 or 1/2 THANK YOU formula:

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