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Worksheet: Unions, Intersections, and Complements

Q1:

Suppose is an event such that . Determine .

  • A1
  • B
  • C0
  • 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
  • B1
  • C
  • D

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.