Let A and B be two events on the same sample space. The probability that the event A occurs equals 0.3. The probability that the event B occurs equals 0.45. The probability that at least one of the events A and B occurs equals 0.6. Note: Enter probabilities as a decimal number or a fraction, not as a percentage. Find the probabilities: (a) Both the events A and B occur. (b) Exactly one of the events A and B occur. (c) At least one of the events A and B' occur.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 10CR
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Let A and B be two events on the same sample space.
The probability that the event A occurs equals 0.3.
The probability that the event B occurs equals 0.45.
The probability that at least one of the events A and B occurs equals 0.6.
Note: Enter probabilities as a decimal number or a fraction, not as a percentage.
Find the probabilities:
(a) Both the events A and B occur.
(b) Exactly one of the events A and B occur.
(c) At least one of the events A and B' occur.
Transcribed Image Text:Let A and B be two events on the same sample space. The probability that the event A occurs equals 0.3. The probability that the event B occurs equals 0.45. The probability that at least one of the events A and B occurs equals 0.6. Note: Enter probabilities as a decimal number or a fraction, not as a percentage. Find the probabilities: (a) Both the events A and B occur. (b) Exactly one of the events A and B occur. (c) At least one of the events A and B' occur.
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