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06 Jul 2020, 06:05
Kudos
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B
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Difficulty:
5%
(low)
Question Stats:
87% (01:18) correct
13%
(02:06)
wrong
based on 186
sessions
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Of three events that might occur, event A is independent of each of the other two, and events B and C are mutually exclusive. The probabilities that the individual events A, B, and C will occur are 0.5, 0.3, and 0.2, respectively. What is the probability that both event A and event C will occur?
A. 1/20
B. 1/10
C. 1/5
D. 1/3
E. 1/2
A. 1/20
B. 1/10
C. 1/5
D. 1/3
E. 1/2
06 Jul 2020, 08:40
Kudos
Bookmarks
IMO B
probability that both event A and event C will occur = probability that event A will occur + probability that event C will occur
==> Probability (A & C will occur)= \(\frac{5}{10}\) * \(\frac{2}{10}\) = \(\frac{1}{10}\)
probability that both event A and event C will occur = probability that event A will occur + probability that event C will occur
==> Probability (A & C will occur)= \(\frac{5}{10}\) * \(\frac{2}{10}\) = \(\frac{1}{10}\)
06 Jul 2020, 08:42
Kudos
Bookmarks
Since event A is independent of event C, P(A and C) = P(A) * P(C)
P(A and C) = 0.5 * 0.2 = 0.1
P(A and C) = 0.5 * 0.2 = 0.1
Bunuel
