Dictionary Rank of a Word | Permutations & Combinations

 PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

Lesson Plan Math Class 12 Ch-13 | Probability


E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+2
Lesson Plan, Class XII Subject Mathematics, chapter 13, Probability , for Mathematics Teacher. Effective way of Teaching Mathematics. Top planning by the teacher for effective teaching in the class. E lesson planning for mathematics.

Board – CBSE

CLASS –XII

SUBJECT- MATHEMATICS

CHAPTER 13  :- Probability


TOPIC:- CHAPTER 13 : Probability

DURATION:-  

This chapter is divided into 7 modules and is completed in 30 class meetings.

PRE- REQUISITE KNOWLEDGE:-

Knowledge of probability class XI

TEACHING AIDS:- 

Green Board, Chalk,  Duster, Charts, smart board, projector, laptop etc.

METHODOLOGY:-   Lecture method

OBJECTIVES:-

  • Conditional probability.
  • Multiplication Theorem on probability.
  • Independent events, mutually exclusive events and exhaustive events.
  • Total probability , and Bayes theorem.
  • Random variable and its probability distribution.
  • Mean and variance of random variable.
PROCEDURE :-

Start the session by asking the questions related to the sample space, experimental and theoretical probability. Now introduce the topic conditional probability step by step as follows.  

S. No

Topic and Explanation

1

 Explain the Conditional Probability :- 

If E and F are two events associated with the same sample space of a random experiment, the conditional probability of the event E given that F has occurred,  is given by

2

 Explain the multiplication theorem on probability and help the students in implementing these results in the problems.

3

 Now explain the terms Independent events, Mutually Exclusive events and the difference between these two.

4

 Now explain the concept of total probability and implement these results is different problems.

5

 Explain the Baye’s Theorem and help the students in implementing this theorem in different problems.

6

 Define random variable : It is a real valued function whose domain is the sample space of a random experiment.

Now explain the probability distribution of a random variable.

7

 Now explain the Mean and Variance  of a random variable and use these results to solve the problems.


EXPECTED OUTCOMES:-

After studying this lesson students should know the 
  • Experimental, Theoretical and conditional probability. 
  • Students should know the multiplication theorem, independent events, total probability 
  • Students should know the Baye’s theorem. 
  • Students should know the random variable and  its probability distribution , 
  • Students should know the mean and variance of random variable.
STUDENTS DELIVERABLES:-
  • Review questions given by the teacher. 
  • Students can prepare the presentation on basic concepts of probability.  
  • Solve NCERT problems with examples.

EXTENDED LEARNING:-

Students can extend their learning in Application of Integrals through the  RESOURCE CENTRE  students can also find many interesting topics on mathematics at cbsemathematics.com

ASSESSMENT TECHNIQUES:-
  • Assignment sheet will be given as home work at the end of the topic. 
  • Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.
  • Class Test , Oral Test , worksheet and Assignments. can be made the part of assessment.
  • Re-test(s) will be conducted on the basis of the performance of the students in the test.

THANKS FOR YOUR VISIT
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