Types of Events Groups of 3 Pick a Card You have 10 minutes to come up with a definition and a couple of examples!

Mutually Exclusive Events Events that CANNOT happen together You are either LATE or NOT LATE You can’t be both

Mutually Exclusive Events Events that CANNOT happen together In a game you either WIN or LOSE You can’t do both

Mutually Exclusive Events Events that CANNOT happen together When you throw a coin, you either get HEADS or TAILS You can’t get both on one throw

Mutually Exclusive Events Events that CANNOT happen together When you throw a dice, you can either get a 1,2,3,4,5 or 6  just one of these! P(1) = 1 6 P(2) = 1 6 P(3) = 1 6 and so on for the other numbers.. P(score of 1 or 2 or 3 or 4 or 5 or 6) = 1 6 + 1 6 + 1 6 + 1 6 + 1 6 + 1 6 = 6 6 =1

Mutually Exclusive Events The sum of the probabilities of a set of mutually exclusive outcomes is 1! P(heads) = 1 2 P(tails) = 1 2 1 2 + 1 2 = 2 2 =1 P(late) = 1 3 P(not late) = 2 3 1 3 + 2 3 = 3 3 =1 P(win) = 0.25 P(lose) = 0.75 0.25 + 0.75 = 1

Mutually Exclusive Events Events that CANNOT happen together Often it is one ACTION Throwing a coin Playing a game Arriving at work

Often two or more Actions Independent Events Events that can happen together BUT DO NOT affect each other Often two or more Actions Flipping a coin and throwing a dice Getting a head or a tail has no affect whatsoever on whether I get a 1,2,3,4,5 or 6

Quizzes happen rain or shine! Independent Events Events that can happen together BUT DO NOT affect each other Often two or more Actions Rains today and Quiz during school Quizzes happen rain or shine!

1st pick (let’s say I pick a red one) Dependent Events Events that depend on one another – What happens in the first event affects the outcome of the next event! Taking out a marble from a bag containing some marbles and not replacing it. 1st pick (let’s say I pick a red one) In my 2nd pick – the probability of picking a red one is now lower!