10 6 Theoretical 10 6 Theoretical Probability Warm
10 -6 Theoretical 10 -6 Theoretical. Probability Warm Up Lesson Presentation Lesson Quiz Holt Mc. Dougal Algebra 1 Algebra 11 Holt Mc. Dougal
10 -6 Theoretical Probability Warm Up 11/18/16 An experiment consists of spinning a spinner 8 times. The spinner lands on red 4 times, yellow 3 times, and green once. Find the experimental probability of each event. 1. The spinner lands on red. 2. The spinner does not land on green. 3. The spinner lands on yellow. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Objectives Determine theoretical probability of an event. Convert between probabilities and odds. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Vocabulary equally likely theoretical probability fair complement odds Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability The theoretical probability of an event is the ratio of the number of ways the event can occur to the total number of equally likely outcomes. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability When the outcomes in the sample space of an experiment have the same chance of occurring, the outcomes are said to be equally likely. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability An experiment in which all outcomes are equally likely is said to be fair. You can usually assume that experiments involving coins and number cubes are fair. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Example An experiment consists of rolling a number cube. Find theoretical probability of each outcome. rolling a 5 There is one 5 on a number cube. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Example An experiment consists of rolling a number cube. Find theoretical probability of each outcome. rolling an odd number There 3 odd numbers on a cube. = 0. 5 = 50% Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Example: Finding Theoretical Probability rolling a number less than 3 There are 2 numbers less three. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Reading Math The probability of an event can be written as P(event). P(heads) means “the probability that heads will be the outcome. ” Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability When you toss a coin, there are two possible outcomes, heads or tails. The table below shows theoretical probabilities and experimental results of tossing a coin 10 times. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability The complement of an event is all the outcomes in the sample space that are not included in the event. The sum of the probabilities of an event and its complement is 1, or 100%, because the event will either happen or not happen. P(event) + P(complement of event) = 1 Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Example: Finding Probability by Using the Complement A box contains only red, black, and white blocks. The probability of choosing a red block is , the probability of choosing a black block is. What is the probability of choosing a white block? P(red) + P(black) + P(white) = 100% Either it will be a white block or 25% + 50% + P(white) = 100% not. 75% + P(white) = 100% – 75% Subtract 75% from both sides. P(white) = 25% Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Example: Converting Between Odds and Probabilities The probability of rolling a 2 on a number cube is . What are the odds of rolling a 2 ? The probability of rolling a 2 is. There are 5 unfavorable outcomes and 1 favorable outcome, thus the odds are 1: 5. Odds in favor are 1: 5. Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Lesson Quiz: Part I Find theoretical probability of each outcome. 1. Randomly choosing B from the letters in ALGEBRA 2. Rolling a factor of 10 on a number cube 3. The probability that it will be sunny is 15%. What is the probability that it will not be sunny? 4. The probability of choosing a red marble out of a bag of marbles is. What are the odds in favor of choosing a red marble? Holt Mc. Dougal Algebra 1
10 -6 Theoretical Probability Lesson Quiz: Part II Find theoretical probability of the outcome. 5. The odds against a spinner landing on blue are 7: 5. Five sections of the spinner are red. What is the probability of the spinner landing on red? Holt Mc. Dougal Algebra 1
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