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Introduction To Mathematical Modelling

Question
CBSEENMA9004003
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Out of the past 250 consecutive days, its weather forecasts were correct 175 times.

(i)  What is the probability that on a given day it was correct?
(ii)  What is the probability that it was not correct on a given day?

Solution

Total number of days = 250
(i) Number of days on which the weather forecasts were correct = 175
∴ Probability that on a given day it was correct
equals 175 over 250 equals 7 over 10
(ii) Probability that it was not correct on a given day equals 1 minus 7 over 10 equals 3 over 10

Some More Questions From Introduction to Mathematical Modelling Chapter

Activity: Note the frequency of two wheelers, three wheelers and four wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Activity: Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3, if the sum of its digits is divisible by 3.

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