5 Measurements of sunshine and rainfall are made each day at a particular weather station. For a randomly chosen day,

• \(R\) is the event that at least 1 mm of rainfall is recorded,
• \(S\) is the event that at least 1 hour of sunshine is recorded.

You are given that \(\mathrm { P } ( R ) = 0.28 , \mathrm { P } ( S ) = 0.87\) and \(\mathrm { P } ( R \cup S ) = 0.94\).

1. Find \(\mathrm { P } ( R \cap S )\).
2. Draw a Venn diagram showing the events \(R\) and \(S\), and fill in the probability corresponding to each of the four regions of your diagram.
3. Find \(\mathrm { P } ( R \mid S )\) and state what this probability represents in this context.