Three coin tosses

Topic: Random experiments and probability · more questions on this topic
Weights on the two coin spaces ›

A fair coin is tossed three times.

1. List the sample space if the whole sequence of heads and tails is recorded. Write heads as 1 and tails as 0.

2. List the sample space if only the number of heads is recorded.

Worked answer (click to show)

1. The sample space is every sequence of length 3 with coordinates in \{0,1\}:

\Omega=\{(0,0,0),(0,0,1),(0,1,0),(0,1,1),(1,0,0),(1,0,1),(1,1,0),(1,1,1)\}.

2. If only the number of heads is kept, \Omega=\{0,1,2,3\}.