1. The following table extracted from an article, gives a breakdown of 2,143 civil cases that were appealed by either the plaintiff or the defendant. The outcome of the appeal, as well as the type of trial (judge or jury), was determined for each civil case.Suppose one of the 2,143 cases is selected at random and both the outcome of the appeal and the type of trial are observed.

	Jury	Judge	Totals
Plaintifftrialwin-reversed	194	71	265
Plaintifftrialwin-affirmed/dismissed	429	240	669
Defendanttrialwin-reversed	111	68	179
Defendanttrialwin-affirmed/dismissed	731	299	1,030
TOTALS	1,465	678	2,143

Considerthefollowing events:

A:{Thetrial is ajurytrial}

B:{Theplaintifftrialwinisreversed}

C: {The trial is a judge trial}

1. FindtheprobabilityofeventsAandB.Interpretyourresult.
2. FindP(AintersectionB)andP(AunionB).Interpretyourresult.
3. FindP(AintersectionB^c).Interpretyourresult.
4. Finally, areAandBmutuallyexclusive?Explainwhy.