Section 3 3 Notes Addition Rule Mutually Exclusive

Section 3. 3 Notes Addition Rule

Mutually Exclusive Two events are mutually exclusive if they cannot occur at the same time. Are the following events mutually exclusive? Example 1: Attending school and going to the Mainplace Mall. Example 2: Driving your car and listening to the radio.

Example From a standard deck of cards. Event A: selecting a card with a number less than 4, Event B: selecting a face card. Mutually Exclusive or Not Mutually Exclusive?

More examples of Mutually Exclusive Go to Page 130

Addition Rule The probability that Event A or Event B will occur if they are mutually exclusive P (A or B) = P (A) + P (B) If they are not mutually exclusive P (A or B) = P (A) + P (B) – P (A and B)

Addition Rule Example #1 You select a card from a standard deck. Find the probability that the card is a 4 or an ace. Step 1 Mutually Exclusive? Step 2 Which equation to use? Step 3 Solve the equation.

Assignment #1 Worksheet 3. 3

Addition Rule Example #2 You roll a die. Find the probability of rolling a number less than 3 or rolling and odd number. Step 1 Mutually Exclusive? Step 2 Which equation to use? Step 3 Solve the equation.

More Addition Rule Examples Go to page 132 to find more examples of the Addition Rule.

Warm Up (I collect warm-ups) The Coca-Cola company found the probability of producing a can without a puncture is 0. 96. The probability that it produces a can does not have a smashed edge is 0. 93 and the probability that it does not have a puncture and smashed edge is 0. 893. Mutually Exclusive? What is the probability that it does not have a puncture or a smashed edge?