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Section 1 Probability and Odds. Vocabulary. probability : how likely it is an event will occur experiment : taking a measurement or making an observation experimental probability : probability determined by observation or measurement outcome : result of each trial of an experiment.
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Vocabulary probability: how likely it is an event will occur experiment: taking a measurement or making an observation experimental probability: probability determined by observation or measurement outcome: result of each trial of an experiment
Probability is between 0 and 1. • If probability is 0 then it is IMPOSSIBLE for the event to occur • If probability equals 1 then the event is CERTAIN to occur
Ex 1 • Find the probability of rolling a number greater than two on a die
Ex 2 • A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find P(black) • Find P(red or brown) • Find P(not blonde)
Ex 3 Lions fans attending a recent 3-game series were asked whether the team should have a mascot. The table shows the results of the survey. What is the probability that a Lions’ fan wants a mascot?
Ex 4 A softball player has had 24 hits in her first 60 times at bat. Predict her number of hits in 330 at bats.
theoretical probability: the ratio of favorable outcomes to the number of possible outcomes in a sample space Experimental probability approaches theoretical probability as more trials are performed in an experiment.
Standard Card Deck • 52 cards total • 2 colors (red, black) • 4 suits (hearts, diamonds, spades, clubs) • 13 cards per suit (A,2,3,4,5,6,7,8,9,10,J,Q,K) • 3 face cards per suit (J, Q, K) Ex 5 A card is picked at random from a standard deck of 52 cards. Find P(face card). Find P(#7)
odds: the ratio of favorable outcomes to the number of unfavorable outcomes Ex 5 What are the odds of rolling a 4 on a standard number cube?
Ex 6 What are the odds of rolling a 4 on a standard number cube? Find the odds of rolling a number greater than two. What are the odds of rolling not a 2 or 3?
Ex 7 • A card is selected at random from a standard deck of 52 cards. What are the odds against selecting a 2 or a 3?