SOLUTION: You must go through three tunnels to complete the journey. The probability of their being blocked is 15% for the first, 20% for the second and 15% for the third. What is the probab

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Question 342849: You must go through three tunnels to complete the journey. The probability of their being blocked is 15% for the first, 20% for the second and 15% for the third. What is the probability of completeing the journey?
I did: 15%=.15
20%= .20
15%= .15
.15+.20+.15=.50 so the answer would be 50%???
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You must go through three tunnels to complete the journey. The probability of their being blocked is 15% for the first, 20% for the second and 15% for the third. What is the probability of completing the journey?
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P(1st is open) = 0.85
P(2nd is open) = 0.80
P(3rd is open) = 0.85
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To complete the journey, all must be open.
P(all open) = 0.85*0.80*0.85 = 0.5780
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Cheers,
Stan H.