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# The probability that event A occurs is 0.5, event B occurs

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SVP
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The probability that event A occurs is 0.5, event B occurs [#permalink]

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01 Apr 2006, 23:37
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The probability that event A occurs is 0.5, event B occurs is 0.4, where A and B are independent events. What is the probability that neither A nor B occurs?
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Joined: 07 Jul 2004
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01 Apr 2006, 23:40
P(A occurs) = 1/2
P(A does not occur) = 1/2

P(B Occurs) = 2/5
P(B does not occur) = 3/5

P(A nor B occur) = P(A does not occur) AND P(B does not occur) = 1/2 * 3/5 = 3/10
VP
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02 Apr 2006, 00:57
P(A occurs) = 0.5
P(A does not occur) = 0.5

P(B Occurs) = 0.4
P(B does not occur) = 0.6

P(!A)P(!B) =0.5 x 0.6
= 0.3

Last edited by sm176811 on 02 Apr 2006, 01:03, edited 2 times in total.
VP
Joined: 29 Apr 2003
Posts: 1403
Followers: 2

Kudos [?]: 29 [0], given: 0

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02 Apr 2006, 01:00
Yeah its shud be 0.3

P(!A)*P(!B) = 0.5 x 0.6 = 0.3
SVP
Joined: 14 Dec 2004
Posts: 1693
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Kudos [?]: 145 [0], given: 0

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02 Apr 2006, 03:41
No doubt it's 0.3
02 Apr 2006, 03:41
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# The probability that event A occurs is 0.5, event B occurs

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