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Question

Mathematics Question on Probability

A complete cycle of a traffic light takes 60seconds60\, seconds. During each cycle the light is green for 25seconds25\, seconds, yellow for 5seconds5 \,seconds and red for 30seconds30\, seconds. At a randomly chosen time, the probability that the light will not be green, is

A

13\frac{1}{3}

B

14\frac{1}{4}

C

412\frac{4}{12}

D

712\frac{7}{12}

Answer

712\frac{7}{12}

Explanation

Solution

\therefore Required probability
=30+560=\frac{30+5}{60}
=712=\frac{7}{12}