10.1 Notes: Theoretical and experimental probability

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10.1 Notes: Theoretical and experimental probability

Some vocabulary: Probability experiment: action or trial that has varying results Outcome: the results of the probability experiment Event: a collection of one or more outcomes, like rolling an odd number or drawing a heart from a deck of cards Sample space: the set of all possible outcomes

Finding sample spaces What are all the possible outcomes of flipping a coin and rolling a six- sided die? You try: 1) you flip two coins 2) You flip two coins and roll a six sided die

Theoretical probability In theory, what should happen in terms of outcomes when an experiment is performed. EX: flipping a coin should have a probability of ½ for flipping a head or tail.

What about area?

You try:

Experimental probability

10.2 Notes: Independent vs. Dependent Events

What are independent events? Two events are independent if the occurrence of one event does not affect the probability of the other event. Are they independent? 1) Rain in Kentucky and having chicken for dinner? 2) Snowing outside and needing a winter coat? 3) rolling a 6 on a die and flipping a tail on a coin? 4) Drawing a ten of spades, without replacement, then drawing a 4 of hearts.

Dependent events Two events are dependent when the occurrence of one event changes the probability of the second event. Look for WITH REPLACEMENT or WITHOUT REPLACEMENT

HW: p. 542 – 543 #3-9

HW: p. 550 – 551 # 3-13