Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.
Note that the probability of any of the staff at the office picking the food is 1/8.
Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.
The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.
The expression is given as:
P (E) = f/O; where
P(E) is the Probability of an event E happening;
f = The number of possible outcomes for an event (frequency)
n = Total number of outputs that are likely
Hence,
P(E) = 1/8
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