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Worksheet: Unions, Intersections, and Complements
Q1:
Suppose is an event such that . Determine .
- A0
- B
- C1
- D
Q2:
Suppose and are mutually exclusive events. Determine .
Q3:
Two mutually exclusive events and have probabilities and . Find .
- A
- B
- C
- D
Q4:
Suppose and are two mutually exclusive events. Given that and , determine .
Q5:
Two mutually exclusive events and have probabilities and . Find .
- A
- B
- C
- D1
Q6:
Suppose and are two events with probability and . Given that , what is the probability that at least one of the events does not occur?
Q7:
Suppose , , and are three mutually exclusive events in a sample space . Given that , , and , find .
- A
- B
- C
- D
- E
Q8:
Suppose and are two events with probabilities and . Given that , determine .
- A
- B
- C
- D
- E
Q9:
Suppose and are two events with probabilities and . Given that , determine .
Q10:
Denote by and two events with probabilities and . Given that , find .
Q11:
Denote by and two events with probabilities and . Given that , find .
Q12:
Suppose and are two events. Given that , , and , determine .
- A
- B
- C
- D
- E
Q13:
Suppose that and are two events with probabilities and . Given that , determine .
- A
- B
- C
- D
- E
Q14:
Suppose and are two events with probabilities and . Given that , determine the probability that at least one of the events and occurs.
Q15:
Suppose and are two events with probabilities and . Given that , determine the probability that only one of the events and occurs.
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