1. Probability
Simple and Compound

2. 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

3. 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

4. Probability of Simple Events
Rock Paper Scissor Lizard Spock
Sample Space
Rock Paper Scissors Lizard Spock
Number of possible outcomes = 5
Prob of Raj throwing paper = Odds=
Prob of Raj throwing lizard = Odds=

5. 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=

6. 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

7. 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=

8. Sheldon Let’s the Dice Choose Lunch
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=

9. 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

10. 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=

11. 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=

12. 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

13. 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=

14. 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=