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Introduction To Mathematical Modelling

Question
CBSEENMA9004105
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Cards with numbers 1, 2, 3, …,100 are placed in a box and mixed thoroughly. One card is drawn, what is the probability that the card drawn is:

(i)  a prime number less than 30
(ii)  a multiple of 5 and 7
(iii) a multiple of 5 or 7

Solution

Solution not provided.
Ans.  left parenthesis straight i right parenthesis space 9 over 100 space space space left parenthesis ii right parenthesis space 1 over 50 space space left parenthesis iii right parenthesis space 8 over 25

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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