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List one thing that has a probability of 0? agenda • 1) notes on probability • 2) lesson 1 • example 1, 2 • Exercise 5-8 • Problem set 1-3 • 3)start lesson 3 Probability is a measure of how likely it is that an event will happen. A probability is a number between 0 and 1. The probability scale is: Probability Scale 0 Impossible 1/2 Unlikely Equally Likely to Occur or Not Occur 1 Likely Certain • Some events are impossible. These events have a probability of 0. • There is no way to select a blue cube if there are no blue cubes in the bag. • Some events are certain. These events have a probability of 1. • You will always get a green cube if there are only green cubes in the bag. • Some events are classified as • Flipping coin and landing on equally likely to happen or to not head or tail happen. These events have a 1 probability of . 2 • Some events are more likely to happen than to not happen. • If you have a bag that contains These events will have a eight blue cubes and two red probability that is greater than cubes, and you select one at 0.5. These events could be random, it is likely that you will described as “likely” to occur. get a blue cube. • Some events are less likely to happen than to not happen. These events will have a probability that is less than 0.5. These events could be described as “unlikely” to occur. • If you have a bag that contains eight blue cubes and two red cubes, and you select one at random, it is unlikely that you will get a red cube. • An outcome is the result of a single observation of an experiment. • The sample space of an experiment is the set of all possible outcomes of that experiment. • The outcomes of an experiment are equally likely to occur when the probability of each outcome is equal. • Suppose a bag of crayons contains 10 green, 10 red, 10 yellow, 10 orange, and 10 purple pieces of crayons. • If one crayon is selected from the bag and the color is noted, the outcome is the color that will be chosen. • The sample space will be the colors: green, red, yellow, orange, and purple. • Each color is equally likely to be selected because each color has the same chance of being chosen. Lesson 1 • example 1, 2 • Exercise 5-8 • Problem set 1-3 Exit ticket • On the probability scale, what is the probability that tomorrow is Tuesday?