IWBAT find experimental probability.

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Presentation transcript:

IWBAT find experimental probability.

Vocabulary experimental probability

WRITE: Experimental probability is one way of estimating the probability of an event. The experimental probability of the event is found by comparing the number of times an event occurs to the total number of trials. The more trials you have, the more accurate the estimate is likely to be.

WRITE:

EX 1: Sports Application During skating practice, Sasha landed 7 out of 12 jumps. What is the experimental probability that she will land her next jump? P(event)  number of times an event occurs total number of trials number of jumps landed number of jumps attempted P(jumps landed)  7 12 = Substitute data from the experiment. The experimental probability that Sasha will land her next jump is . 7 12

WRITE: “P(event)” represents the probability that an event will occur. For example, the probability of a flipped coin landing heads up could be written as “P(heads).” Writing Math

EX 2A: Application Students have checked out 55 books from the library. Of these, 32 books are fiction. What is the experimental probability that the next book checked out will be fiction? number of fiction books checked out total number of books checked out P(fiction)  32 55  Substitute data. The experimental probability that the next book checked out will be fiction is approximately 32 55 .

What is the experimental probability that EX 2B: Application What is the experimental probability that the next book checked out will be nonfiction? P(fiction) + P(nonfiction) = 1 Use the complement. 32 55 + P(nonfiction) = 1 Substitute. Subtract from both sides. 32 55 32 55 – P(nonfiction) = 23 55 Simplify. The experimental probability that the next book checked out will be nonfiction is approximately 23 55 .