2 Two Types Independent Dependent when the first outcome does not effect the probability of the second outcomeP(A and B)= P(A) * P(B)DependentWhen the first outcome effects the probability of the second outcomeP(A and B)= P(A) * P(B after A)
3 Example- IndependentA bowl contains 3 red marbles, 7 yellow marbles, 4 blue marbles, 1 green marble, and 5 white marbles. If you pick one marble at a time and replace it after you pick each time, what is the compound probability of picking a blue and then a green?Hint: Use this formula: P(A and B)= P(A) * P(B)
4 Marble Example continued… Find the following probabilities from the same situation before.In bowl:3 red7 yellow4 blue1 green5 whiteP (red and then yellow)P (blue and then blue)P (white and then green)P (red and then red)P (yellow and then not yellow)
5 Example DependentYou are drawing cards from a standard deck of 52 cards without replacing them after each turn. What is the probability of drawing two kings in a row?Hint: Use this formula- P(A and B)= P(A) * P(B after A)
6 Card Example Continued… Find the following probabilities based upon the information on the previous slide.P (two reds in a row)P (red and then a black)P (two face cards in a row)P (an Ace and then a Queen)P (two clubs in a row)
7 Objective QuestionsWhat is simple probability, and how do you find it?What is compound probability, and how do you find it?What is the difference between independent and dependent compound probability?