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Bunuel
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Johnson has a corporate proposal. The probability that vice-president 10 Nov 2020, 02:49
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25% (medium)

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81% (01:57) correct 19% (02:15) wrong based on 347 sessions

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Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3.

What is the probability that one of the two VPs, but not the other, approves Johnson’s proposal?

(A) 0.12

(B) 0.24

(C) 0.28

(D) 0.48

(E) 0.72
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Johnson has a corporate proposal. The probability that vice-president 10 Nov 2020, 02:50
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Bunuel
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3.

What is the probability that one of the two VPs, but not the other, approves Johnson’s proposal?

(A) 0.12

(B) 0.24

(C) 0.28

(D) 0.48

(E) 0.72
Show more

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Johnson has a corporate proposal. The probability that vice-president 12 Nov 2020, 06:47
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Bunuel
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3.

What is the probability that one of the two VPs, but not the other, approves Johnson’s proposal?

(A) 0.12

(B) 0.24

(C) 0.28

(D) 0.48

(E) 0.72
Show more

\(YN+NY ->\)where Y approves, N disapproves for Mr. Adams and Mr. Baker Respectively.

\(\frac{6}{10}*\frac{2}{10}+\frac{4}{10}*\frac{3}{10}\)

\( .12+.12\)

\(.24\)

Ans-B

Hope it's clear.
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Johnson has a corporate proposal. The probability that vice-president 13 Feb 2023, 03:40
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We are asked if one approves , the other doesn't approve the proposal probability.
it can be possible only if (Adam approves and baker rejects) or (Adam rejects and baker approves).
We are given P(Adam approves) = 6/10 , so P(Adam rejects) = 4/10.
Similarly for P(Bryan approves once Adam approves) = 8/10 so, P(Bryan rejects after Adam approves) = 2/10.
P(Brayan approves after Adam rejects) = 3/10

Probability = \(6/10*2/10 + 4/10*3/10\) = \(6/25\) = 0.24
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Johnson has a corporate proposal. The probability that vice-president 29 Jun 2026, 09:45
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if P (adams approve) = 0.6, then p(baker approves) = 0.8
so, P(baker not approves) = 0.2
P(adam not approving) =0.4

if adam doesnt approve then p(baker approve) = 0.3

find P (one approve but other not)

it means when adam approves then baker wont or in other scenario, when adam doesnt approve, baker will approve.

P( adam approves) *P(baker doesnt) + P(adam doesnt) * P(baker approves)
(0.6) (0.2) + (0.4)(0.3)
0.24

Option B
Bunuel
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3.

What is the probability that one of the two VPs, but not the other, approves Johnson’s proposal?

(A) 0.12

(B) 0.24

(C) 0.28

(D) 0.48

(E) 0.72
Show more
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