suppose that you encounter two traffic lights on your commute to school. Based o

Question

suppose that you encounter two traffic lights on your commute to school. Based on past experience, you judge that the probability is.65 that the first light will be red when you get to it, .45 that the second light will be red, and .30 that both lights will be red. Determine the probability that at least one light will be red. Also name the relevant probability rule that you could use Determine the long-run percentage of days for which neither light will be red. (As always, show/explain your work.)

Explanation / Answer

Ans:

P(atleast one will be red)=P(First or second light will be red)

=P(first will be red)+P(second will be red)-P(both will be red)

=0.65+0.45-0.3

=0.8

P(neither will be red)=1-0.8=0.2

There 20% the days for which neither light will be red.

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