1.

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?

Answer»

When m = 6, n = 0 ⇒ |m-n| = 6

m = 5,n = 1 |m-n| = 4 

m = 4, n = 2 |m-nl=2 

m = 3,n = 3 |m-n| = 0 

m = 2, n = 4 |m-n|=2 

m = 1,n = 5 |m-n| = 4 

m = 0, n = 6 |m-n|=6 

∴ hence X can take values 0, 2, 4, 6.



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