Intermediate Algebra Assignment for 4/9

Today, we reaffirmed that the Expected Value is a long-term average. Meaning the results of a small handful of trials are unlikely to produce the same average as the expected value, however increasing the number of trials will produce averages more in line with what you expect.

Don’t forget that our test on this unit will be on Thursday, April 11th!

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 4/5

We’ve introduced the last major topic from our unit on Probability: the Expected Value. This quantity is a long-term per-trial average, that gives you a way of determining what a typical outcome of a handful of trials should be. This is an important tool in the field of statistics, and will be something you’ll see again in later math classes.

Today’s links

Cumulative IXL Modules

Mathematical Musing: Will I be Buying a Powerball Ticket?

Correction: The cost of purchasing every possible ticket combination was miscalculated in the previous version of this post. It has been changed to the correct value.

Every so often, the news media becomes all abuzz when a particular lottery jackpot starts to grow really large.  Right now is one of those times, with no winner on Saturday putting the jackpot for Wednesday’s drawing at around $1.3 Billion, the largest lottery jackpot in US History.

My students sometimes ask me, as a math teacher and a guy who “knows numbers,” whether I play the lottery. Usually I just smile and tell them I buy the occasional scratch ticket for the fun of it, but almost never anything beyond that. It would require a “special occasion” or a “huge jackpot” for me to consider buying one.

This certainly seems like one of those special occasions.

To understand how to approach this question from a math standpoint, we first need to understand the probability of winning.

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