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?