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 ?

According to a meteorological report for 300 consecutive days in a yea

1.	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 ?
Answer» 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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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 ?

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