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W1-slides2 - continuing from previous lecture1.5 Examples...

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continuing from previous lecture– § 1.5 Examples for multinomial coefficients Ex.8- Painting. A house has 12 rooms. We want to paint 4 yellow, 3 purple, and 5 red. In how many ways can this be done?
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continuing from previous lecture– § 1.5 Examples for multinomial coefficients Ex.8- Painting. A house has 12 rooms. We want to paint 4 yellow, 3 purple, and 5 red. In how many ways can this be done? Ex. 9-Ross- p16 prb 9 A child has 12 blocks, of which 6 are black, 4 are red, 1 is white and 1 is blue. If the child puts the blocks in a line, how many arrangements are possible?
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Lecture 2- Outline and Examples ( § 2.2-2.3 in Ross) experiment - sample set - event set theory review Relative frequency interpretation of probability
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Examples Experiments, sample space, events
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin.
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes Sample space : S = { Head , Tail }
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes Sample space : S = { Head , Tail } Ex.2. Experiment . Roll a die.
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes Sample space : S = { Head , Tail } Ex.2. Experiment . Roll a die. six possible outcomes
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes Sample space : S = { Head , Tail } Ex.2. Experiment . Roll a die. six possible outcomes Sample space : S = { 1 , 2 , 3 , 4 , 5 , 6 } (each number represents one side of the die with the number of dots equal to this number).
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes Sample space : S = { Head , Tail } An Event : Ex.2. Experiment : Roll a die. six possible outcomes Sample space : S = { 1 , 2 , 3 , 4 , 5 , 6 }
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin. two possible outcomes Sample space : S = { Head , Tail } An Event : “coin lands heads” = Ex.2. Experiment : Roll a die. six possible outcomes Sample space : S = { 1 , 2 , 3 , 4 , 5 , 6 }
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Examples Experiments, sample space, events Ex.1. Experiment : Flip a coin.
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