SOLUTION: A fair coin is tossed three times. Let X be the number of heads in the tosses minus the number of tails. Find pX (k).

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Question 934983: A fair coin is tossed three times. Let X be the number of heads in the tosses minus the number of tails. Find pX (k).
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

                         Heads
Tosses  No. of  No. of   minus
         heads   tails   tails   Prob.
HHH       3        0       3      1/8
HHT       2        1       1      1/8
HTH       2        1       1      1/8
HTT       1        2      -1      1/8
THH       2        1       1      1/8 
THT       1        2      -1      1/8
TTH       1        2      -1      1/8
TTT       0        3      -3      1/8

P(-3) = 1/8
P(-1) = 3/8
P(1)  = 3/8
P(3)  = 1/8

Edwin