Let event E="a randomly selected high school student plays organized sports." To find P(E), first find the frequency of E. P(E)=relative frequency of E = frequency of E / number of trials of experiment The probability of an event E is approximately the number of times event E is observed divided by the number of repetitions of the experiment. (a) To compute the probability of the event E use the empirical method because a probability experiment is run. (a) What is the probability that a randomly selected high school student plays organized sports? 5.1Ī survey of 700 randomly selected high school students determined that 468 play organized sports. Therefore, the probability of the event E="an even number" is 0.5. Substitute 6 for the number of outcomes in E and 12 for the number of outcomes in the sample space in the formula for the probability of E. P(E) = Number of ways that E can occur / Number of possible outcomes = m / n So, if S is the sample space of the experiment, then P(E) can be calculated using the equation below, where N(E) is the number of outcomes in E, and N(S) is the number of outcomes in the sample space.
If an experiment has n equally likely outcomes and if the number of ways that an event E can occur is m, then the probability of E, P(E) is calculated using the equation below. To compute the probability of the event E, use the classical method because the outcomes are equally likely.
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