suppose your commute to work involves encountering 3 intersections in town and then getting on the interstate for 10 miles. your driving experiences in town and on the interstate are independent of each other. suppose your chances of hitting a red light in town are 1 in 12, and your chances of getting tied up in traffic on the interstate are 3 in 15. what are the chances of having both happen on the same trip to work?

Respuesta :

The chances of having both happen on the same trip to work are, 0.0167

What is traffic?

The passage of objects (such as vehicles or pedestrians) through a space or along a path.: the movement of ships, planes, automobiles, or pedestrians along a path. the content or signals sent through a telecommunication system. 3.: the goods or passengers that a transportation system carries.

Given: suppose your commute to work involves encountering 3 intersections in town and then getting on the interstate for 10 miles.

Your driving experiences in town and on the interstate are independent of each other.

suppose your chances of hitting a red light in town are 1 in 12, and your chances of getting tied up in traffic on the interstate are 3 in 15.

P( red light in town ) = 1/12 = 0.083

P( getting tied up in traffic on the Interstate ) = 3/15 = 0.2

So,

P( both happen on the same trip to work) = 0.083 X 0.2 = 0.0167

Hence, the chances of having both happen on the same trip to work are 0.0167.

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