Quote of the Day It is a mathematical fact that the casting of this pebble from m hand alters the centre of gravity of the universe. -Thomas Carlyle

Find Probabilities of Compound Events Section 13.4

Objectives: Find the probabilities of compound events

Key Vocabulary: Compound event Mutually exclusive events Overlapping events Independent events Dependent events

Compound Events, Mutually Exclusive Events, and Overlapping Events A compound event combines two or more events, using the word and or the word or. Mutually exclusive events have no common outcomes. Overlapping events have at least one common outcome.

Example 1: You roll a number cube. Find the probability that you roll a 2 or an odd number.

Example 2: You roll a number cube. Find the probability that you roll an even number or a prime number

#1: Complete. You roll a number cube. Find the probability that you roll a 2 or a 5.

#2: Complete. You roll a number cube. Find the probability that you roll a number less than 4 or an odd number.

Independent and Dependent Events Two events are independent events if the occurrence of one event has no effect on the occurrence of the other. Two events are dependent events if the occurrence of one event affects the occurrence of the other.

Example 3: You take a city bus from your neighborhood to a location within walking distance of your school. The express bus arrives at your neighborhood between 7:30 and 7:36. The local bus arrives at your neighborhood between 7:30 and 7:40. You arrive at the bus stop at 7:33. Find the probability that you have missed both the express bus and the local bus.

Example 4: A box contains 3 blue pens and 5 black pens. You choose one pen at random, do not replace it, then choose a second pen at random. What is the probability that both pens are blue?

#3: Complete. A bag contains 4 red, 5 green, and 2 blue marbles. You randomly draw 2 marbles, one at a time. Find the probability that both are red if: you replace the first marble. you do not replace the first marble.

Partner Work Page 864 #3, 5, 7, 9, 10, 15, 19

Homework Assignment Page 864 #4, 6, 8, 11, 12, 14, 16, 18, 22, 24 (a&b), 26, 28, 30, 32, 33