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A TRAFFIC LIGHT IS RED FOR 38 SECONDS YELLOW FOR 10 SECONDS AND GREEN FOR ONE MINUTE AND TWELVE SEONDS. IN A CONSTANTLY REPEATING CYCLE, WHAT IS THE PROBABILITY THAT AT THE MOMENT A PASSING PEDESTRIAN
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Mar 19, 2021
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A TRAFFIC LIGHT IS RED FOR 38 SECONDS YELLOW FOR 10 SECONDS AND GREEN FOR ONE MINUTE AND TWELVE SEONDS. IN A CONSTANTLY REPEATING CYCLE, WHAT IS THE PROBABILITY THAT AT THE MOMENT A PASSING PEDESTRIAN GLANCES AT IT, THE LIGHT WILL BE GREEN
Mathematics
high-school
Peter Mitrano
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The chance is 3/5 that the light will be green.
Added together the total seconds for the traffic light to complete the cycle is 120 (38+72 (1 min and 12 sec) +10.
And the green light proportion is: 72/120
We simplify by dividing by 12, which is a factor and we get: 6/10 that simplifies to 3/5.
Hope this helps!
Steven Fisher
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Mar 26, 2021
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