Page 81 - Mathematics Class - X
P. 81

OBSERVATIONS
          1.  Each group will complete the following table


                                        ∑  2  a          ∑  3  a           ∑  4  a           ∑  5  a
               a 1  =   ,     a +  a 2  =  i = 1  i  =  ,  i = 1  i  =  ,  i = 1  i  =  ,    i = 1  i  =  ,
                               1
              50                100     100               150               200              250

               6                  7                8                 9                10
              ∑  a i             ∑  a i           ∑  a i            ∑  a i            ∑  a i
               i = 1  =   ,      i = 1  =   ,      i = 1  =   ,     i = 1  =    ,     i = 1  =   ,
               300               350               400               450              500


               and same for b's, c's , ....... f 's
                            i   i        i


          2.  Experimental probability of 1 =              Experimental probability of 2 =
                                               500                                         500


               Experimental probability of 3 =             Experimental probability of 4 =
                                              500                                          500



               Experimental probability of 5 =             Experimental probability of 6 =
                                              500                                          500

               Experimental probability of 1 is nearly equal to theoretical ________.

               Experimental probability of 2 is ________ to theoretical _________.


               Experimental probability of 6 is _____ to _______ probability.


        INFERENCE
                                                                                                               1
        The experimental probability of each number 1, 2, 3, 4, 5 and 6 is very close to the theoretical probability  .
                                                                                                               6

        EXTENDED TASK
          1.  Find the probability of a head while tossing a coin.
          2.  Determine experimental probability of getting even numbers by throwing a die 500 times and compare them
              with their theoretical probabilities.


        APPLICATION
        Probability  is  used  extensively  in  the  fields  like  physical  sciences,  commerce,  biological  sciences,  medical
        sciences, weather forecasting, etc.













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