Red light time = 42 seconds Green light time = 45 seconds Yellow light time = 5 seconds Total Time of all lights i(Red Light time + Green light time + Yellow light time) = 42 + 45 + 5 = 92 seconds Probability to see Red light in a day P(Red) = (Red light time)/(Total time of all lights)
Probability to see Red light 5 days in a row P(Red) = (Red light time)^5/(Total time of all lights)^5 P(Red) = (42)⁵/(92)⁵ P(Red) = 0.01689 Probability to see Red light 5 days in a row = 1.689%
The time of a red light = 42 seconds The time of a green light = 45 seconds The time of a yellow light = 5 seconds so, All times = 42 + 45 + 5 = 92 seconds Then The probability to see a red light in one day = P(red)= (The time of a red light) ÷ (all tmes) So, P(red) = 42/95 And The probability to see a red light in five days = {P(red)}⁵ = (42/95)⁵ = 0.01689 = 1.689 %