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Q.

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

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a

6, 4, 2, 0

b

1, 2, 4

c

3, 4, 6

d

1, 6,. 9

answer is A.

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Detailed Solution

A coin is tossed six times and X represents the difference between the number of heads and the number of tails 

 X(6H, 0T)=|6-0|=6X(5H, 1T)=|5-1|=4X(4H, 2T)=|4-2|=2X(5H, 3T)=|3-3|=0X(2H, 4T)=|2-4|=2X(1H, 5T)=|1-5|=4X(0H, 6T)=|0-6|=6

 The Values of X are ={0, 2, 4, 6}

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