Mathematics · Probability
Four nodes A, B, C, and D are connected by links AB, AC, BC, BD, and CD. Each link has an independent probability p of being broken. What is the probability that a communication path exists from A to B?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 11 - p 2 - 2p 3 + 3p 4 - p 5✓
- 21 + 4p 2 + 2p 3 - 4p 4 + 2p 5
- 31 - 3p 2 + 2p 3 - 3p 4 + p 5
- 41 + 2p 2 - 2p 3 + 4p 4 - 2p 5
Correct answer
1 - p 2 - 2p 3 + 3p 4 - p 5
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