Monday, May 7, 2018• Warm-up

• Imagine a fair coin flipped – calculate the following probabilities:

• P(T) =

• P(T then T) =

• P(3 T in a row) =

• P(T then H then T)=

• P(10 T in a row) =

• More with probability

• Computer Lab time

Objectives

• Content: I will improve my proficiency in computing simple and compound probabilities.

• Social: I will participate in the class activities.

• Language: I will take clear notes that I can refer back to.

Review and add to Friday

• Probability- the chance that something will happen

• Probability= Favorable/Total

• 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

• Sample Space – all possible outcomes

Probability of Simple Events

• Rock Paper Scissor Lizard Spock• https://www.youtube.com/watch?v=x5Q6-wMx-K8

Sample Space

• P(Raj throwing paper) =

• P(Raj throwing lizard) =

Probability of Simple Events• P(Raj throwing paper or Spock) =

• P(Sheldon throwing rock) =

• P(Sheldon throwing paper, scissors, lizard, or Spock)=

• P(of Sheldon throwing one of the original choices) =

Probability of Simple Events

• P(Raj throwing rock and Sheldon throwing lizard)=

• P(Spock and paper being thrown)=

• P(both throwing Spock)=

• P(throwing the same thing)=

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.

• P(burger)=

• P(lemonade)=

• P(both)=

Probability of Compound Events• Compound Events

• Independent Events- Events that do not affect each other

• Independent examples-

• Compound Independent Probability Method

P(A and B) = P(A)*P(B)

Probability of Compound Events

• Examples-• What is the probability of rolling a 6 and a coin landing

on heads?

• P(6) =

• P(heads) =

• P(6 and heads)=

Probability of Compound Events• Dependent Events – Events in which the outcome of one

will affect the probability of the other

• Dependent examples-

• Compound Dependent Probability Method

P(A and B)=

P(A)*Modified P(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?

• P(red)=

• Modified P(green) =

• P(red and green) =

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?

• P(red) =

• Modified P(red) =

• Modified P(blue) =

• P(all) =

Computer Lab