- Each day Anna drives to work.
- R is the event that it is raining.
- \(L\) is the event that Anna arrives at work late.
You are given that \(\mathrm { P } ( R ) = 0.36 , \mathrm { P } ( L ) = 0.25\) and \(\mathrm { P } ( R \cup L ) = 0.41\).
i. Draw a Venn diagram showing the events \(R\) and \(L\). Fill in the probability corresponding to each of the four regions of your diagram.
ii. Determine whether the events \(R\) and \(L\) are independent.
iii. Find \(\mathrm { P } ( L \mid R )\)