A coin is tossed and a number cube is rolled.What is the probability that the coin shows heads and the number cube shows a number less than 2?
The sample space is this set of twelve outcomes:
H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6
Only the red one is such that it shows heads and the number cube shows a number
less than 2. The only number on a number cube less than 2 is 1.
So that's 1 way out of 12, or 
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You can also do it this way. The number in the sample space is gotten
not by listing them as I did above, but just by figuring out how many there
are. The coin can fall one of 2 ways, and for each of the 2 ways the
coin can fall, there are 6 ways the dice can fall. That's 2×6 or 12 ways.
And so the probability is 1 out of 12 or .
Edwin
