The record of a weather station shows that out of the past $300$ consecutive days, its weather was forecasted correctly $195$ times. What is the probability that on a given day selected at random, it was not correct?

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Solution

Total number of days for which weather forecast was recorded $=$ $300$
Total number of possible outcomes $=$ $300$
Number of days for which forecast was correct $=$ $195$
Number of days for which forecast was incorrect $=$ $300 - 195 = 105$
Hence the number of Number of favourable outcomes for not correct $=$ $105$
The probability that on a given day it was not correct $= \frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f p o s s i b l e o u t c o m e s}$
$=$ $\frac{105}{250} = \frac{21}{50}$

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The record of a weather station shows that out of the past 300 consecutive days, its weather was forecasted correctly 195 times. What is the probability that on a given day selected at random, it was not correct?

The record of a weather station shows that out of the past $300$ consecutive days, its weather was forecasted correctly $195$ times. What is the probability that on a given day selected at random, it was not correct?