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 * Aim:** How do we find the probability of a specific number of of successes when an experiment is repeated n times? //(This formula is not given on the Regents Reference Sheet)//

At the end of the lesson, you will be able to...
 * 1) explain what types of problems are Bernoulli experiments (aka the binomial probalility)
 * 2) discover the formula for counting exactly r successes in n independent trials
 * 3) compute exactly r successes in n independent trials by using the Bernoulli formula

Here are some items that need to be answered as you watch the videos: 1. Write the formula that includes combination for binomial probability 2. What are the two ways we can use the graphing calculator to help us to solve for a binomial probability? NB: Some of the videos use "x" instead of "r". That is ok. Remember it is just a variable and it can be any letter

This first video is good!! She has a good strategyy of listing her variables first, then substituting into the formula media type="youtube" key="jkVlNZ21Ims" width="425" height="350"

This video is by Patrick. He does all the math by hand. Use your calculator to find the answer. media type="youtube" key="xNLQuuvE9ug" width="425" height="350"

This one is good too. media type="custom" key="13184594"

1. A waiter knows from experience that 7 out of 10 people who dine will leave a tip. Tuesday evening, the waiter served 12 lone diners. Find the probability, to the nearest thousandth, that the waiter received a tip from 9 of these diners. (Ans: .240)
 * Classwork:** Answer the following questions: **Before you try these, list what you need first and fill in the information.**

2. What is the probability that 2 shows on three dice when four dice are tossed. (Ans: 20/1296)

3. A company that makes breakfast cereal puts a coupon for a free box of cereal in 3 out of every 20 boxes. What is the probability that Mrs. Sullivan will find 2 coupons in the next 5 boxes? (Ans: 442,170/3,200,000)


 * Homework: #**3-13 odd, get in the practice of setting up the problem and using the graphing calculator to do the work for you

[|Probability.JPG]


 * Answers:**

[|A-Probability.JPG]


 * Journal entry:** Explain the necessary conditions for applying the Bernoulli formula to finding the probability of a particular event?