Suppose that P(A) = 0.99. Which of the following is the best interpretation of this statement? Event A is extremely likely, but in a long sequence of trials, it occasionally will not occur. Event A will never occur. Event A will occur more often than not, but it is not extremely likely. Event A will always occur.
Question
Suppose that P(A) = 0.99. Which of the following is the best interpretation of this statement? Event A is extremely likely, but in a long sequence of trials, it occasionally will not occur. Event A will never occur. Event A will occur more often than not, but it is not extremely likely. Event A will always occur.
Solution
The best interpretation of the statement "P(A) = 0.99" is "Event A is extremely likely, but in a long sequence of trials, it occasionally will not occur." This is because the probability of an event occurring ranges from 0 to 1, where 0 means the event will never occur and 1 means the event will always occur. A probability of 0.99 is very close to 1, indicating that the event is extremely likely to occur. However, because it is not exactly 1, there is a small chance that the event will not occur in some trials.
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