Traffic checks on a certain section of highway suggest that 65% of drivers are s

Question

Traffic checks on a certain section of highway suggest that 65% of drivers are speeding there. Since 0.65 x 0.65 =0.4225, the multiplication rule might suggest that there is approximately a 42% chance that two vehicles in a row are both speeding. What's wrong with that reasoning?

Choose the correct answer below.

A.The sum of the probabilities of the two given events does not equal 1, so this is not a legitimate probability assignment.

B.There are cases when the speed of one car is not independent of the speed of another car, so the multiplication rule does not apply.

C.The speed of the two cars can have common outcomes. The speeds are not disjoint, so the multiplication rule does not apply.

D.The reasoning is correct. There is a 42% chance that two cars in a row are speeding.

Explanation / Answer

As per the known data, an option (C) is the correct answer.

The ramaining options are inappropriate.

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