probability rules. p. 423 37-41 and 44 p. 430 45,48,51 p. 432 54,57,60
TRANSCRIPT
Six ChapterDay Three
Probability Rules
P. 423 37-41 and 44 P. 430 45,48,51 P. 432 54,57,60
Homework
Addition Rule for Disjoint Events P(A or B) = P(A) + P(B)
Calculate the probability of picking a king or a queen from a standard deck of cards.
P(King or Queen) = p(king) + p(queen)
Example
P(Ac) = 1 – p(A)
Find the probability of not choosing a king from a standard deck of cards.
The Complement Rule
P(A or B) = p(A) + P(B) – p(A and B)
The Addition Rule for non disjoint Events
At a certain school there are 100 students. 36 students take Calculus 50 students take AP Statistics and 25 take both.
Make a Venn Diagram and calculate the probability that a student takes either AP Calculus or AP Statistics
Example
Example Give the sample space for rolling two dice.
Then calculate the following:
P(sum is five)
P( sum is a prime number)
P( sum is not a perfect square)
Roll a regular tetrahedral die.
Construct a probability Model for rolling such a die.
Construct a probability model for the sum when two such die are rolled.
Example
Independent Events Tell if each of the following represent
independent events.
Rolling a die twice A = getting a six on the fist roll B = getting a six on second roll.
Picking two cards from a deck without replacement. A = Getting a black card on first draw B = Getting a black card on second draw
Roll a die twice. Calculate probability that you get six on both rolls.
P(A and B) =
Draw two cards from a deck without replacement. Calculate the probability of getting to black cards. (Note: Draws are not independent)
Independent Events