Probability Simple and Compound Probability of Simple Events

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=C 4 PWu 5 q. Z 8 z 8 �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 PR SR LR SPR RP PP SP LP SPP RS PS SS LS SPS �Number of all possible outcomes: 25 RL PL SL LL SPL RSP PSP SSP LSP SPSP

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=BVIjqd 8 DBGw 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 Flipping coins Rolling two separate dice 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 5 th stair? �Prob of flipping heads = �Prob of landing of the 5 th 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 the blue marbles? �Prob of red = �Modified prob of blue = �Prob of all = Odds=