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STA 200 chapter18

# STA 200 chapter18 - Chapter 18 Probability Models...

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Chapter 18 Probability Models

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Probability Models A probability model for a random phenomenon describes all of the possible outcomes and their probabilities. An event is an outcome or collection of outcomes.
Probability Models (cont.) All probability models must obey the following rules: Any probability is a number between 0 and 1. All possible outcomes together must have probability 1. The probability that an event does not occur is 1 minus the probability that the event does occur. If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities.

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Rolling Dice There are 36 outcomes, all of which are equally likely to occur. Thus, the probability of each outcome is 1/36. So, P (1 on first die, 1 on second die) = 1/36, P (1 on first die, 2 on second die) = 1/36, P (3 on first die, 4 on second die) = 1/36, etc.
Probabilities of Sums To get the probability of rolling a specific sum, we might have to add the individual probabilities of some of the outcomes together.

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STA 200 chapter18 - Chapter 18 Probability Models...

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