The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 times.

i) What is the probability that on a given day it was correct?

⇒ The total number of days for which the record is available = 250 days

⇒ Number of days when forecasts were correct = 175 days

We know the formula of probability

So substitute the value ;

=

ii) What is the probability that it was not correct on a given day?

⇒ The total number of days for which the record is available = 250 days

⇒ Number of days when forecasts were not correct = 250 - 175 days

So ; ⇒ 75 days

We know the formula of probability

So substitute the value ;

=

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More information ;

The quality or state of being probable; the extent to which something is likely to happen or be the case.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.