Compound events, the addition rule and mutual exclusivity
A synthetic classification records two properties for each book
Event A: the book is borrowed. Event B: the book is illustrated
Let S be the sample space of all 26 recorded cases
The counts in the four disjoint regions are shown below
| Region | Count |
|---|---|
| A only | 4 |
| B only | 2 |
| A and B | 7 |
| Neither A nor B | 13 |
For the requested probability, select one recorded case uniformly at random