121616949-math.224 - 210 Chapter 9 Applications of...

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210 Chapter 9 Applications of Integration baseball has been pitched is 100.9 mph by Lynn Nolan Ryan (California Angels) at Anaheim Stadium in California on August 20, 1974.”) You perhaps have at least a rudimentary understanding of discrete probability , which measures the likelihood of an “event” when there are a finite number of possibilities. For example, when an ordinary six-sided die is rolled, the probability of getting any particular number is 1 / 6. In general, the probability of an event is the number of ways the event can happen divided by the number of ways that “anything” can happen. For a slightly more complicated example, consider the case of two six-sided dice. The dice are physically distinct, which means that rolling a 2–5 is different than rolling a 5–2; each is an equally likely event out of a total of 36 ways the dice can land, so each has a probability of 1 / 36. Most interesting events are not so simple. More interesting is the probability of rolling a certain sum out of the possibilities 2 through 12. It is clearly not true that all sums are
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