The Wonderful World… of Probability. When do we use Probability?
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Transcript of The Wonderful World… of Probability. When do we use Probability?
The Wonderful The Wonderful World…World…
of Probabilityof Probability
When do we use When do we use Probability?Probability?
Flip a coin and roll a diceFlip a coin and roll a diceHow many possibilities can How many possibilities can
occur?occur?
Flip 3 coins and roll a diceFlip 3 coins and roll a dice
Flip 5 coin and roll 2 diceFlip 5 coin and roll 2 dice
Some Key DefinitionsSome Key Definitions
Outcome: A possible result of an Outcome: A possible result of an experimentexperiment
Event: When a predicted outcome Event: When a predicted outcome comes to passcomes to pass
Sample Space: All possible Sample Space: All possible outcomesoutcomes
The coin flipping The coin flipping experimentexperiment
Everybody in the classroom must flip a Everybody in the classroom must flip a coin.coin.
What would you expect the number of What would you expect the number of heads and tails to be?heads and tails to be?
Is your prior guess consistent with the Is your prior guess consistent with the actual experiment?actual experiment?
Theoretical ProbabilityTheoretical Probability
What one would expect the event to What one would expect the event to look like, on averagelook like, on average
attemptsofNumber
outcomesfavorableofNumberobabilitylTheoretica Pr
Experimental Experimental ProbabilityProbability
What the actual probability is after an What the actual probability is after an experiment is conductedexperiment is conducted
trialsofNumber
successesofNumberobabilityPralExperiment
The chances of picking The chances of picking a face card in a decka face card in a deck
Theoretical Probability:Theoretical Probability:
Experimental Probability:Experimental Probability:
What are the odds?What are the odds?
outcomeseunfavorablofNumber
outcomesfavorableofNumberfavorinOdds
outcomesfavorableofNumber
outcomeseunfavorablofNumberagainstOdds
FactorialsFactorials
The product of the integers from 1 The product of the integers from 1 to that numberto that number
5!5!
The Phillies can have 9 players The Phillies can have 9 players play at one time. How many play at one time. How many
possible batting orders can the possible batting orders can the manager create?manager create?