Question

A fire station gets an emergency call from a shopping mall in the mid- afternoon. From a study of traffic patterns, Chief fire officer DK Jain knows that the probability the most direct route is clogged with traffic is 0.11, while the probability of the secondary route being clogged is 0.13. The probability both are clogged is 0.03.

Answer 1

Answer:

93%

93% is the probability they can respond to the call

unimpeded using one of these routes

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Answer 2

Note: the given question is incomplete, as it should be "What is the probability they can respond to the call  unimpeded using one of these routes?"

Given:

Probability of direct route is clogged$=0.11$

Probability that secondary route is clogged$=0.13$

Probability that both the routes are clogged$=0.03$

To find: probability they can respond to the call  unimpeded using the routes.

Solution:

Find the probability they can respond to the call  unimpeded using the routes.

probability they can respond

to the call  unimpeded using

                           the routes$=$$1-$probability that both the routes are clogged

                                           $=1-0.03\\\\=0.97$

Hence, the probability they can respond to the call  unimpeded using one of these routes is $0.97$.