Probability Simple and Compound

Probability of Simple Events Probability- the chance that something will happen Probability= Favorable/Total Sample Space – all possible outcomes Favorable – the outcome you’re interested in Ex. The probability of flipping a coin and landing on heads. Sample Space – Heads or Tails Prob=1/2

Odds of Simple Events Odds = favorable : unfavorable The top of the fraction : the bottom-the top Unfavorable = total-favorable Ex The probability of flipping a coin and landing on heads. 1:1

Probability of Simple Events Rock Paper Scissor Lizard Spock http://www.youtube.com/watch?v=C4PWu5qZ8z8 Sample Space Rock Paper Scissors Lizard Spock Number of possible outcomes = 5 Prob of Raj throwing paper = Odds= Prob of Raj throwing lizard = Odds=

Probability of Simple Events Prob of Raj throwing paper or Spock = Odds= Prob of Sheldon throwing rock = Odds= Prob of Sheldon throwing paper, scissors, lizard, or Spock= Odds= Prob of Sheldon throwing one of the original choices = Odds=

Probability of Simple Events Sample Space for Raj and Sheldon RR RP RS RL RSP PR PP PS PL PSP SR SP SS SL SSP LR LP LS LL LSP SPR SPP SPS SPL SPSP Number of all possible outcomes: 25

Probability of Simple Events Prob of Raj throwing rock and Sheldon throwing lizard= Odds= Prob of Spock and paper being thrown= Odds= Prob of them both throwing Spock= Odds=   Prob of them throwing the same thing= Odds=

Sheldon Let’s the Dice Choose Lunch http://www.youtube.com/watch?v=BVIjqd8DBGw Sheldon chooses his entrée by rolling a 20 sided die. There are 5 burgers on this page and 15 other dishes. He then rolls a six sided die to choose his beverage. The beverage choices are lemonade, water, coke, mountain dew, margaritas, and strawberry daiquiris. Prob of burger= Odds=   Prob of lemonade= Odds= Prob of both= Odds=

Probability of Compound Events Independent Events- Events that do not affect each other Independent examples- Rock Paper Scissors Rolling two separate dice Flipping coins Spinning a spinner and rolling a die Compound Independent Probability Method Prob of Events A and B occurring = Prob of Event A*Prob of event B

Probability of Compound Events Examples- What is the probability of rolling a 6 and a coin landing on heads? Prob of rolling a six = Prob of flipping heads = Prob of both = Odds=

Probability of Compound Events Examples- What is the probability of dropping a coin down 12 stairs and it landing heads up on the 5th stair? Prob of flipping heads = Prob of landing of the 5th step = Prob of both = Odds=

Probability of Compound Events Dependent Events – Events in which the outcome of one will affect the probability of the other Dependent examples- Picking options out of a hat Picking people out of a crowd Picking cards out of a deck Compound Dependent Probability Method Prob of Events A and B occurring = Prob of Event A*Modified Prob of event B

Probability of Compound Events Examples- There is a bag filled with 10 marbles: 6 red, 1 blue, and 3 green. What is the probability of randomly picking out a red marble then a green marble? Prob of red = Modified prob of green = Prob of both = Odds=

Probability of Compound Events Examples- There is a bag filled with 10 marbles: 6 red, 1 blue, and 3 green. What is the probability of picking a red then a red then the blue marbles? Prob of red = Modified prob of red = Modified prob of blue = Prob of all = Odds=