An oil exploration company currently has two proposals, one in Texas and the other in Oklahoma. Let A be the event that the Texan proposal is accepted and B be the event that the Oklahoman proposal is accepted.
Suppose that A and B are independent events with P(A) = 0.9 and P(B) = 0.7.
If the Texan proposal is not accepted, what is the probability that the Oklahoman proposal is also not accepted?
2007-06-01 14:48:28 · 4 answers · asked by elizabeth_boothe 1 in Education & Reference ➔ Homework Help
The 'key' to this question is the fact that these are Independent Events! The outcome of one event does not affect the chances of the other event. Therefore, if the Texan proposal is not accepted, it does NOT change the probability of acceptance of the Oklahoman proposal. Thus, the probability of the Oklahoman proposal not being accepted is 0.3 (1.0 - 0.7) - no matter what the outcome of the Texan proposal.
Best wishes.
2007-06-01 14:55:41 · answer #1 · answered by Doctor J 7 · 0⤊ 0⤋
The 'key' to this question is the fact that these are Independent Events! The outcome of one event does not affect the chances of the other event. Therefore, if the Texan proposal is not accepted, it does NOT change the probability of acceptance of the Oklahoman proposal. Thus, the probability of the Oklahoman proposal not being accepted is 0.3 (1.0 - 0.7) - no matter what the outcome of the Texan proposal.
The whole thing about the texan proposal being rejected is just there to confuse you, so just ignore it. You know there are 2 outcomes (either the oklahoma proposal is accepted or rejected) which gives you this equation:
P(oklahoma proposal rejected) + P(oklahoma poposal accepted)=1
X + .7 =1; solve it
1 - .7 =X; X=.3
2007-06-01 23:58:02 · answer #2 · answered by Arvid 2 · 0⤊ 0⤋
the whole thing about the texan proposal being rejected is just there to confuse you, so just ignore it.
you know there are 2 outcomes (either the oklahoma proposal is accepted or rejected) which gives you this equation:
P(oklahoma proposal rejected) + P(oklahoma poposal accepted)=1
X + .7 =1; solve it
1 - .7 =X; X=.3
2007-06-01 22:00:44 · answer #3 · answered by kelsie101 2 · 0⤊ 0⤋
.3 because they are independent 1-.7=.3
2007-06-01 21:52:30 · answer #4 · answered by michaelyodepi 3 · 0⤊ 0⤋