Rest of 7.2

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2/4

• Rest of 7.2
• 7.3
• Exploration 7.21

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7.2
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6. Weighted Averages

• We already saw this happening in an early
  exploration.
• What is your GPA if you have the following
  grades, given that an A4, B3, C2 and so on?
• Math A 3 credits
• English B 3 credits
• Biology C 3 credits
• Education A 3 credits

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What happens now?

• Math A 4 credits
• English B 4 credits
• Biology C 3 credits
• Education A 3 credits

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What do we need to get to achieve at least a 3.0?

• Math A 4 credits
• English ? 4 credits
• Biology C 3 credits
• Education B 3 credits

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7.3

• The lottery is a tax on people who dont know
  math

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1. Where do we see probability and chance? How do
we talk about it?
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2. Definitions

• Random Phenomena
• Phenomena that are unpredictable individually,
  but that have patterns when considered as a group
  or over a long run.
• Outcome
• An outcome is the result of an experiment or
  other situation involving uncertainty.
• The set of all possible outcomes of a probability
  experiment is called a sample space.
• Sample Space
• The sample space is an exhaustive list of all the
  possible outcomes of an experiment. Each possible
  result of such a study is represented by one and
  only one point in the sample space.
• Event
• An event is any collection of outcomes of an
  experiment.
• Formally, any subset of the sample space is an
  event.
• Any event which consists of a single outcome in
  the sample space is called an elementary or
  simple event. Events which consist of more than
  one outcome are called compound events.

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• Impossible Events Probability of ______
• Certain Events Probability of _________

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3. Whats the probability of selecting the Queen
of Hearts from a deck of cards?

• What does probability mean?

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If were looking at equally likely

• P(E)(number of favorable outcomes)/(number of
  total outcomes)

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4. Not Equally Likely

• What is the probability of getting an odd number?

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1
3
4
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5. Whats the probability of getting 2 heads in a
row.

• How could we determine this answer?
• Any guesses?

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Law of Large Numbers

• With a partner, toss the coin twice. Place a 1
  in the heads or tails column, depending on which
  one you got.
• Worksheet
• What did we get? (this is called the experimental
  probability, or the empirical probability)

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Other Methods1. Be systematic and look for
patterns
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2. Tree diagram
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Lets go crazy with our tree diagram. Whats the
probability of rolling 4H in a row?

• What operation are we seeing here?

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What about 2H2T? (Order doesnt matter)
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If we have time, well do the lady and the tiger.