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Experimental/Empirical Probability

The record of...

Question

The record of a weather situation shows that our of the past 250 consecutive days its weather forecasts were correct 175 times What is the probability that on a given day it was correct?

A

0.3

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B

0.5

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C

0.7

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D

0.9

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Solution

The correct option is D 0.7
The total number of days for which the record is available =250 days
No of days when the forecasts were correct=175 Days
$∴$ Probability $= \frac{N o . o f d a y s w h e n t h e f o r e c a s t s w e r e c o r r e c t}{T o t a l n o . o f d a y s f o r w h i c h t h e r e c o r d i s a v a i l a b l e} = \frac{175}{250} = 0.7$

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