Probability in Our World

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Presentation transcript:

Probability in Our World Algebra 2/Trig Honors Probability Day 1

What activities or events are associated with the word: probability??

Probability – A tool for Decision Making     What route should you take to school? What is the probability of getting stuck at a train crossing? How likely are you to get stuck in traffic? Is there time to stop for coffee? You need sleep and your homework is not done. What is the probability your teacher checks homework tomorrow? How should you prepare for the future? Should you buy or rent a home? Should you invest in stocks or bonds? How should business make decisions? Should we focus on selling one product or diversify? How much should we charge for our product(s)? How much should we spend on marketing and where should we advertise? Should we give away coupons or free items to attract customers?

Games and Gambling

Sports World Series 2017 – Cubs vs. Indians Game 3 Pre-game Win Prob. Actual Results

Sports Super Bowl LI: February 5th, 2017

Weather Chance of Precipitation:

How does probability work with weather and technology How does probability work with weather and technology...IT CAN SAVE LIVES!!!

Over the last 10 years, since Hurricane Katrina, the NOAA (National Oceanic and Atmospheric Admin) has: - reduced the margin of error in predicting hurricanes by 50%!!! - increased watch and warning times by 12 hours. - decreased forecasting error. The computers are getting faster and have better resolution and as a result the ability to see higher and finer detail in the atmosphere increases.

Weather 2015 2005 By Adrian Sainz, Associated Press Writer MIAMI — Don't fixate on a hurricane forecast's skinny black line — it could cost you your life. The National Hurricane Center issues that warning every time a storm bears down on the Atlantic or Gulf coasts. Even if the line predicts perfectly the hurricane eye's path — something it rarely does — many forget that a storm's devastating winds can spread out dozens of miles in all directions. To overcome the public's obsession with the line, the hurricane center this year is adding a graphic that will list the probability that tropical storm or hurricane-force winds will threaten a specific area over a period of time, such as a 24-hour period. Tested for two years, the graphic gives residents a clearer picture of if and when they could experience storm-force winds and help them make important decisions, such as whether to evacuate, the center says. "There's some value in being able to tell somebody that there's a 20% chance of being hit by a hurricane ... or a 10% chance of having hurricane force winds," center Director Max Mayfield said. "That will really be useful for a lot of people." TV weather forecasters, emergency managers and the public will have access to the full-color graphic, a series of ovals growing out from the storm's center. The ovals closest to the center show the highest probability for storm-force winds within a certain time period, and the probabilities get smaller with each bigger oval that  In 2005 the average seasonal tracking error in a 48-hour forecast of where a storm would end up was 110 nautical miles. Now it's 65 miles.   http://www.cbsnews.com/news/katrina-improved-hurricane-forecasting/

Politics The 2016 Presidential Election

The 2016 Presidential Election Predicted: Actual: http://time.com/4561625/electoral-college-predictions/

Miscellaneous Funny Odds http://www.funny2.com/odds.htm

Let’s use our world (honors trig) to tackle some probability problems...