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Introduction To Mathematical Modelling

Question
CBSEENMA9004007
Wired Faculty App

On a particular day, the number of vehicles passing through a crossing is given below:

Vehicle

Frequency

Two-wheeler

57

Three-wheeler

33

Four-wheeler

30

A particular vehicle is chosen at random. What is the probability that it is not a four-wheeler?

Solution

Number of two wheelers = 57
Number of three wheelers = 33
Number of four wheelers = 30
∴ Total number of vehicles = 57 + 33 + 30 = 120
Number of vehicles that is not a four-wheeler
= 57 + 33 = 90
∴ Probability that the vehicle chosen at random is not a four-wheeler
equals 90 over 120 equals 3 over 4

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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