Probability

A fair coin is tossed and a fair six-sided die is rolled independently.

1. Complete the possibility diagram with ordered pairs.

   Coin \ Die	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)
   \(H\)	\((H,1)\)
   \(T\)

Find the probability of obtaining:

2. a head and an even number;

3. a tail and a number greater than \(4\);

4. a head or a \(6\), including outcomes satisfying both conditions.