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

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) (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?
---
P(1st is open) = 0.85
P(2nd is open) = 0.80
P(3rd is open) = 0.85
-------------------
To complete the journey, all must be open.
P(all open) = 0.85*0.80*0.85 = 0.5780
================
Cheers,
Stan H.
RELATED QUESTIONS
I can't seem to solve this problem that should be easy. I'm blocked and need to figure... (answered by vleith)

a journey by bus takes 38 minutes at 55 kph. How fast must a car go to complete the same... (answered by Cromlix)

a car completes a journey at an average speed of 40 m.p.h. at what speed must it travel... (answered by Alan3354)

Tim drove for 6 hours. In that time he managed to complete 2/6 of his journey. What is... (answered by josgarithmetic,greenestamps)

To obtain maximum strength engineers often design tunnels as parabolic arches. In such a (answered by stanbon,josgarithmetic)

You are driving to a destination that is 60 miles away. You want to get there for an... (answered by advanced_Learner,josmiceli)

As items come to the end of a production line, an inspector chooses which items are to go (answered by edjones)

The probability that the first record of a singing group will be a hit is 0.28 If their... (answered by Theo)

Hi can you please show me how to solve this math problem, Manchester United has been... (answered by Theo)