Question

Dystopia county has three bridges. in the next year, the elder bridge has a 14% chance of collapse, the younger bridge has a 4% chance of collapse, and the ancient bridge has a 20% chance of collapse. what is the probability that exactly one of these bridges will collapse in the next year? (round your final answer to four decimal places. do not round intermediate calculations.)

Answer 1

We add the products of the chance a bridge collapses while the other two bridges do not collapse. P(Only Elder collapses) = .14*.96*.8 = 0.10752 P(Only Younger collapses) = .86*.04*.8 = 0.02752 P(Only Ancient collapses) = .86*.96*.2 = 0.16512 P(Only one bridge collapses) = 0.10752 + 0.02752 + 0.16512 = 0.30016 Round the probability to four decimal places giving the solution of 0.3002 as the probabilityof exactly one bridge collapse in the next year.