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According to a meteorological report for 300 consecutive days in a year , its weather forecasts were correct 180 times .
Out of these days , one day is chosen at random .
What is the probability that the weather forecast was
(i) correct on that day ? (ii) not correct on that day ?

Text Solution

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Total number of days = 300.
(i) Let E = event that the forecast was correct on the chosen day . Then ,
`P(E) = ("no., of days for which the forecasts were correct")/("total number of days")`
`= (180)/(300) = (3)/(5) = 0.6`.
(ii) Number of days on which the forecast was not correct
= 300 - 180 = 120 .
Let F = event that the forecast was not correct on the given day .
Then , P(F) = `(120)/(300) = (2)/(5) = 0.4.`
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