Question

ACCORDING TO THE METEOROLOGICAL REPORT FOR 300 CONSECUTIVE DAYS IN A YEAR, ITS WEATHER FORECAST WAS CORRECT 180 TIMES. OUT OF THESE DAYS, ONE DAY WAS CHOSEN AT RANDOM, WHAT IS THE PROBABILITY THAT THE WEATHER FORECAST WAS CORRECT ON THAT DAY AND NOT CORRECT ON THAT DAY

Answer 1

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

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