You would like to go from point A to point B in Figure 1.28. There are 5 bridges on different branches of the river as shown in Figure 1.29.

Bridge i is open with probability P_i, i = 1, 2, 3, 4, 5. Let A be the event that there is a path from A to B and let B_k be the event that k^th bridge is open.

a. Find P(A).

b. Find P(B₃|A).

Transcribed Image Text:

River Bridgel Bridge 2 River River River River Bridge3 River River River Fig.1.29 Problem 32. River Bridge4 B Bridge5 River