Question

What are the possible outcomes when three unbiased coins are tossed simultaneously? Please explain it in detail how to calculate it mentally when some other number is used as in this case,3.

Answer 1

a coin contaions two sides head and tail. on tossing either of the two will appear.
such 3 coins are selected and tossed. each will show either head or tail up.
so the outcomes will be

coin 1	coin 2	coin3
H	H	H
H	H	T
H	T	H
H	T	T
T	H	H
T	H	T
T	T	H
T	T	T

now we can conclude that
the sample space of this experiment contain,
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}