STAT151 Lecture 8: Randomness and Probability Part 1

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STAT151 Full Course Notes
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STAT151 Full Course Notes
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Stat 151: lecture 8 - randomness and probability part 1. Knowing the outcomes but not knowing what particular outcome will happen. A large number of observations will yield predictable patterns. Example: rolling a dice, flipping a coin. Trial - each occasion we observe a random phenomenon. Outcome - each trial noted as the value of the random phenomenon. Also a subset of a sample space. Letters of the alphabet are often used as their notation (i. e. a, b) Sample space - all the possible outcomes. Trial - the act of rolling the dice. Outcome - there are 6 different outcomes: 1, 2, 3, 4, 5, 6. Event - let a be the event for rolling 1, or 2; a ={1, 2} Let b be the event for rolling 3 or 4; b ={3, 4} Sample space - 1, 2, 3, 4, 5, 6; s ={1, 2, 3, 4, 5, 6}

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