Unit 5 A Probability of Simple Events Lesson

Unit 5 A Probability of Simple Events

Lesson 1: Probability of Simple Events Objective: Swbat find the probability of an event. Do Now:

Lesson 1: Probability of Simple Events Definitions Probability is the chance that some event will occur. A simple event is one outcome or a collection of outcomes. Outcome is a possible result in a probability experiment. Random – each outcome is equally likely to occur. Complementary events are two events in which either one or the other must happen.

Lesson 1: Probability of Simple Events Probability can be written as a fraction, decimal or percent. Value is between 0 (impossible) and 1 (certain).

Lesson 1: Probability of Simple Events The probability of an event is a ratio that compares the number of favorable outcomes to the number of possible outcomes. P(event) = number of favorable outcomes number of possible outcomes

Lesson 1: Probability of Simple Events Example: Flip of a Coin 2 outcomes (Heads or Tails) P(Heads) = ½ or. 5 or 50% P(Tails) = ½ or. 5 or 50%

Lesson 1: Probability of Simple Events Example: Roll of a Number Cube 6 outcomes (1, 2, 3, 4, 5, 6) P(0) = 0/6 0% P(1) = 1/6 or. 17 or 17% P(2, 3, or 4) = 3/6 or. 5 or 50% P(1, 2, 3, 4, 5, 6) = 6/6 or 100% Complement P(not a 6) = 5/6 or 83%

Lesson 1: Probability of Simple Events Example: Roll of a set of dice 1 1 2 3 4 5 6

Lesson 1: Probability of Simple Events Real-World Problem Mr. Harada surveyed his class and discovered that 30% of his students have blue eyes. Identify the complement of this event.

Classwork Guided Practice #1 – 5 Independent Practice #1 – 5 Problem Solving Practice #1 - 8

Closure Question: What do the possibilities of an event range between? Exit Ticket Homework: Practice # 1 - 18

Exit Ticket There are 3 red marbles, 2 yellow marbles and 3 purple marbles in a bag. What is the probability of picking a purple marble? What is the probability of the complement?

Homework