STS 110 Chapter Notes - Chapter 6.2: Empirical Probability, Fair Coin, Decimal Mark
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Notation: p(a) > probability of an event occurring. Rounding: round to 4 non-zero digits to right of the decimal point. Ex1: flipping a fair coin and computing the probability of getting a head. Count all the total number of possible outcomes. Count the number of ways event a can occur. P(a) = number of ways a can occur / number of total outcomes. Ex2: find p (rolling a fair die that lands on odd #) P(a) = 3/6 = 1/2 = 0. 5 or 50% Found by repeatedly performing an experiment or looking at previous data. P(a) = # of times a occurred/ total # of observations. Ex1: records indicate that a ood has occurred in an egyptian city 4 times over the past 2000 years. 4/2000 < # of times ood occurred/ total # of years. Ex2: greer ips a fair coin 100 times.