1.4 Mutually Exclusive and Non-Mutually Exclusive

Events

Playing Cards

Spades

Diamonds

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”

For Mutually Exclusive events A and B

The Key word to look for is “OR”… A OR B

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

If A and B are non-mutually exclusive events, then the total number of favorable outcomes is:

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