section 1 probability and odds
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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. - PowerPoint PPT PresentationTRANSCRIPT
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Section 1Probability and Odds
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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
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Experimental Probability
number of favorable observations of ( )total number of observations
EP E
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• 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
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Ex 1
• Find the probability of rolling a number greater than two on a die
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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)
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Ex 3Lions 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?
GameGame AttendancAttendancee
In favor In favor of of
mascotmascot
Friday 681 388Saturday 527 428Sunday 928 786
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Ex 4A softball player has had 24
hits in her first 60 times at bat. Predict her number of hits in 330 at bats.
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theoretical probability: the ratio of favorable outcomes to the number of possible outcomes in a sample space
number of favorable outcomes( )number of possible outcomes
P T
Experimental probability approaches theoretical probability as more trials are performed in an experiment.
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Ex 5A card is picked at random from a standard
deck of 52 cards. Find P(face card).
Find P(#7)
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)
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odds: the ratio of favorable outcomes to the number of unfavorable outcomes
number of favorable outcomes( )number of unfavorable outcomes
O T
Ex 5What are the
odds of rolling a 4 on a standard number cube?
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Ex 6What 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?
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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?