Question:
(ac and the outcomes are recorded. How many possible outcomes are there?
(b) How many possible outcomes if the coin is tossed.
(i) four times?
(ii) five times?
(iii) $\mathrm{n}$ times?
Solution:
(a) A coin is tossed three times
So possible number of outcomes $=2^{3}=8$
(HHH,HHT,HTH,HTT,THH,THT,TTH,TTT)
(b) i) A coin is tossed four times
So possible number of outcomes $=2^{4}=16$
(HHHH,HHHT,HHTH,HHTT,HTHH,HTHT,HTTH,HTTT, THHH,THHT,THTH,THTT,TTHH ,TTHT,TTTH,TTTT)
(ii) A coin is tossed n times
So possible number of outcomes $=2^{n}$