Experiment outcomes outcome trial outcomes experiment possible outcomes.

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Presentation transcript:

experiment outcomes outcome trial outcomes experiment possible outcomes

sample space (all possible outcomes) 1st Toss H T 2nd Toss 2nd Toss H T H T possible outcomes: HH, HT, TH, TT

Coin Toss H T Dice Roll Dice Roll 1 2 3 4 5 6 1 2 3 4 5 6 possible outcomes: H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

10 2 12 5 20 20 2 = _______ 960,000 N1 ⦁ N2 ⦁ N3 ⦁ ….. MULTIPLY!! Decisions to make Number of options  1 2 3 4 5 6 7  10 2 12 5 20 20 2 = _______ ____ x ____ x ____ x ____ x ____ x ____ x ____ 960,000 metals finish color cut left right band possible rings

4 3 2 14 = _______ 336 ____ x ____ x ____ x ____ possible pizzas How many choices for each? How many decisions?  4 3 2 14 ____ x ____ x ____ x ____ = _______ 336 size crust sauce topping possible pizzas

How many choices for each? How many decisions?  4 3 2 14 ____ x ____ x ____ x ____ = _______ 336 size crust sauce topping possible pizzas How many choices for each? How many decisions?  26 26 26 26 10 10 = _________ 45,697,600 ____ x ____ x ____ x ____ x ____ x ____ letter possible passwords letter letter letter digit digit

How many choices for each? How many decisions?  4 3 2 14 ____ x ____ x ____ x ____ = _______ 336 size crust sauce topping possible pizzas How many choices for each? How many decisions?  26 26 26 26 10 10 = _________ 45,697,600 ____ x ____ x ____ x ____ x ____ x ____ letter possible passwords letter letter letter digit digit How many choices for each? How many decisions?  25 24 23 = _________ 32,292,000 26 ____ x ____ x ____ x ____ x ____ x ____ 10 9 letter letter letter letter digit digit possible passwords

10 10 10 10 = _______ 10,000 ____ x ____ x ____ x ____ possible How many choices for each? How many decisions?  10 10 10 10 ____ x ____ x ____ x ____ = _______ 10,000 digit digit digit digit possible combinations

How many choices for each? How many decisions?  10 10 10 10 ____ x ____ x ____ x ____ = _______ 10,000 digit digit digit digit possible combinations How many choices for each? How many decisions?  26 25 24 10 = _________ 15,600,000 ____ x ____ x ____ x ____ x ____ x ____ 10 10 letter letter letter digit digit digit possible passwords