2Two 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)
3Example- 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)
4Marble 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)
5Example 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)
6Card 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)
7Objective 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?