Probabilities of two events for two spins of a fair five-sector spinner and the probability of their union

A fair spinner has five equal sectors numbered \(1\), \(2\), \(3\), \(4\) and \(5\). The spinner is spun twice. The events \(G\) and \(H\) are defined as follows.

\(G\): both scores are odd numbers.

\(H\): the two scores add up to \(6\).

Find

1. \(\mathrm{P}(G)\),
2. \(\mathrm{P}(H)\),
3. \(\mathrm{P}(G\cup H)\).

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