Vocabulary
Goal Determine the theoretical probability of an event and convert between probabilities and odds.270700516827500When the outcomes in the sample space of an experiment have the same chance of occurring, the outcomes are said to be equally likely.Theoretical ProbabilityThe ratio of the number of ways the event can occur to the total number of equally likely outcomes8305805842000Example 1: An experiment consists of rolling a number cube. Find the theoretical probability of each outcome.a. rolling a 3b. rolling a number greater than 3Checkpoint: An experiment consists of rolling a number cube. Find the theoretical probability of each outcome.1. rolling an even number2. rolling a multiple of 3Know that the sum of probability of events adds up to one.P(event happening) + P(event not happening) = 1ComplementAll the outcomes in the sample space that are not included in the event. P(event) + P(complement of event) = 1Example 2: The weather forecaster predicts a 20% chance of snow. What is the probability that it will not snow?Checkpoint:3. A jar has green, blue, purple, and white marbles. The probability of choosing a green marble is 0.2, the probability of choosing a blue is 0.3, and the probability of choosing purple is 0.1. What is the probability of choosing white?OddsExpresses the likelihood by comparing the number of ways an event can happen to the number of ways an event can fail to happen. 76390517589500Odds are usually written with a colon in the form a: b, but can also be written as a to b or ab4840605-190500Example 3: Converting Between Odds and Probabilitiesa. The probability of choosing a red card from a standard deck of playing cards is 50%. What are the odds of choosing a red card?b. The odds against choosing a green marble from a bag are 5: 3. What is the probability of choosing a green marble?Checkpoint: Converting Between Odds and Probabilities4. The odds in favor of winning a free drink are 1: 24. What is the probability of winning a free drink? ................
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