1.4 Mutually Exclusive and Non-Mutually Exclusive Events.

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Presentation transcript:

1.4 Mutually Exclusive and Non-Mutually Exclusive Events

Playing Cards SpadesDiamonds

Playing Cards Face Cards Diamonds

Playing Cards  Another way to look at it.

Mutually Exclusive Events  Events are Mutually Exclusive if they have difference attributes and cannot occur at the same time.  Flipping coin, either heads of tails……..Not both  New born baby, either male or female……..Not both

Picnic  A picnic basket of sandwiches contains 3 ham, 2 turkey, 1 chicken, and 4 egg salad sandwiches. What is the probability of reaching in and randomly choosing either a ham or an egg salad sandwich.

Additive Principle “Rule of Sum”  In how many ways can A or B occur if they are mutually exclusive?

Additive Principle “Rule of Sum”

James Bond  Richards is a big James Bond fan. He bought the whole collection….from China. If the following actors have been James Bond for the corresponding number of films, what is the probability that Richards will pick a movie with Connery or Dalton in it?

Playing Cards  What is the probability of drawing either a face card or a Diamond?

Playing Cards

Principle of Inclusion and Exclusion

Sports  In a room with 30 students, 10 play basketball, and 15 play volleyball. If 7 students play both sports, what is the probability that a student chosen at random plays basketball or volleyball?

Probability of Non-Mutually Exclusive Events

Assignment  Pg 42 #’s 1-8, 11