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Introduction To Mathematical Modelling

Question
CBSEENMA9004013
Wired Faculty App

The king, queen and jack of clubs are removed from a deck of 52 cards and then well shuffled. One card is selected at random from the remaining cards. Find the probability of getting

(a)  a heart
(b)  a king
(c)  the 10 of hearts.

Solution

Total number of cards in the deck when king, queen and jack of clubs are removed = 52–3 = 49 (a) Number of cards which are ‘a heart’ = 13
therefore  Probablity of getting a heart = 13 over 49
(b) Number of cards which are ‘a king’ = 3
therefore  Probablity of getting a king = 3 over 49
(c) Number of cards which are ‘the 10 of heart’ = 1
therefore   Probablity of getting the 10 of heart's = 1 over 49

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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