Two shooters
The problem
Two shooters fire to the target.
Event A
is the first shooter hit the target.
Event B
second shooter hit the target.
Write equations for the next events:
C
- two hits to targetD
- at list one hit to targetE
- just one hit to target
Solution
$$\\ C = A \cap B \\ D = A \cap B \cup \bar{A} \cap B \cup A \cap \bar{B} \\ E = A \cap \bar{B} \cup \bar{A} \cap B$$