A Pair of Fair Dice Is Tossed $A \cup B$
B Identify the Sample Points in the Event

question 91

Essay

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 6} B: {At least one of the numbers 3} a. Identify the sample points in the event $A \cup B$ .
b. Identify the sample points in the event $A \cap B$ .
c. Find $P ( A \cup B )$ .
d. Find $P ( A \cap B )$ .

---

Definitions:

Three Strikes Law

A criminal justice policy mandating long sentences for offenders convicted of three or more serious criminal offenses, aimed at deterring repeat offenders.

Harsh Sentencing Guidelines

Strict legal standards that mandate tough penalties and longer prison sentences for offenders.

Deterrence

An approach to punishment that relies on the threat of harsh penalties to discourage people from committing crimes.

Future Crimes

Acts that are considered illegal or immoral that are predicted to occur based on current trends or technological advancements.