quote of the day
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Quote of the Day. …in man there is nothing great but mind. -Sir William Rowan Hamilton. Find Probabilities and Odds. Section 13.1. Objectives:. Find sample spaces Find probabilities. Key Vocabulary:. Outcome Event Sample space Probability Odds. Outcomes, Events, and Sample Spaces. - PowerPoint PPT PresentationTRANSCRIPT
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QUOTE OF THE DAY
…in man there is nothing great but mind.-Sir William Rowan Hamilton
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FIND PROBABILITIES AND ODDSSection 13.1
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OBJECTIVES:
Find sample spaces
Find probabilities
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KEY VOCABULARY:
Outcome Event Sample space Probability Odds
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OUTCOMES, EVENTS, AND SAMPLE SPACES
A possible result of an experiment is an outcome.
An event is an outcome or a collection of outcomes, such as rolling an odd number.
The set of all possible outcomes is called a sample space.
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EXAMPLE 1:
You flip a coin and roll a number cube. How many possible outcomes are in the sample space? List the possible outcomes.
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#1: COMPLETE.
You flip two coins and roll a number cube. How many possible outcomes are in the sample space? List the possible outcomes.
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PROBABILITY OF AN EVENT
The probability of an event is a measure of the likelihood, or chance, that the event will occur. Probability is a number from 0 to 1 and can be expressed as a decimal, fraction, or percent.
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THEORETICAL PROBABILITY
The outcomes for a specified event are called favorable outcomes. When all outcomes are equally likely, the theoretical probability can be found using:
The probability of event A is written at P(A).
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EXAMPLE 2:
You and your friends designed T-shorts with silk screened emblems, and you are selling the T-shirts to raise money. The table below shows the number of T-shirts you have in each design. A student chooses a T-shirt at random. What is the probability that the student chooses a red T-shirt?
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#2: COMPLETE.
In Example 2, what is the probability that the student chooses a T-shirt with a gold emblem?
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#3: COMPLETE.
You toss a coin and roll a number cube, what is the probability that the coin shows tails and the number cube shows 4?
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EXAMPLE 3:
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ODDS
The odds of an event compare the number of favorable and unfavorable outcomes when all outcomes are equally likely.
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EXAMPLE 4:
In Example 3, find the odds against stopping on green.
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#5: COMPLETE.
In Example 3, what are the odd in favor of stopping on blue?
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#4: COMPLETE.
In Example 3, for which color is the experimental probability of stopping on the color greater than the theoretical probability.
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PARTNER WORKPage 846 #3, 5, 8, 14, 19
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HOMEWORK ASSIGNMENTPage 846 #4, 6, 10, 12, 16, 20, 22, 24, 25, 26