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Warm-Up 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.

Monday, December 12, 2016 Warm-up Homework Questions Theoretical Probability Practice Homework: Problems 1,3,5,7 on WS Probability Test next Thursday/Friday

Theoretical Probability Algebra 1 Theoretical Probability

Equally Likely When the outcomes in the sample space of an experiment have the same chance of occurring, the outcomes are said to be equally likely.

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.

Finding Theoretical Probability An experiment consists of rolling two number cubes. Find the theoretical probability of each outcome. rolling a 5 rolling an odd number rolling a number less than 3

Check It Out An experiment consists of rolling two number cubes. Find the theoretical probability of each outcome. Rolling an even number Rolling a multiple of 3

When you toss a coin, there are two possible outcomes, heads or tails When you toss a coin, there are two possible outcomes, heads or tails. The table below shows the theoretical probabilities and experimental results of tossing a coin 10 times.

Total Probability The sum of the probability of heads and the probability of tails is 1, or 100%. This is because it is certain that one of the two outcomes will always occur. P(event happening) + P(event not happening) = 1

A box contains only red, black, and white blocks 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?

A jar has green, blue, purple, and white marbles A jar has green, blue, purple, and white marbles. The probability of choosing a green marble is 0.2, the probability of choosing blue is 0.3, the probability of choosing purple is 0.1. What is the probability of choosing white?

Odds are another way to express the likelihood of an event Odds are another way to express the likelihood of an event. The odds in favor of an event describe the likelihood that the event will occur. The odds against an event describe the likelihood that the event will not occur.

ODDS!

Converting Between Odds and Probabilities The probability of rolling a 2 on a number cube is . What are the odds of rolling a 2 ?

Converting Between Odds and Probabilities The odds in favor of winning a contest are 1:9. What is the probability of winning the contest?

Converting Between Odds and Probabilities The odds against a spinner landing on red are 2:3. What is the probability of the spinner landing on red?

Check It Out! The odds in favor of winning a free drink are 1:24. What is the probability of winning a free drink?

Red Algebra 1 book: Pg. 724: 14-21