Suppose a certain traffic light shows a red light for 50 seconds, a green light for 50 seconds, and a yellow light for 5 seconds. If you look at this light at some randomly sele…

Question

asked May 19, 2021 197k views

1 Answer

Mage Xy · Answer 1 · 2021-05-25T08:01:41+0000

Answer:

$P(Yellow\ or\ Green) = 0.524$

Explanation:

Given

$Yellow = 5\ seconds$

$Green = 50\ seconds$

$Red = 50\ seconds$

Required

Determine the probability of Green or Yellow

First, we need to determine the total time

Total = 50 + 50 + 5

$Total = 105\ seconds$

Next, is to determine the required probability

This is calculated as follows:

$P(Yellow\ or\ Green) = P(Yellow) + P(Green)$

$P(Yellow\ or\ Green) = (n(Yellow))/(Total) + (n(Green))/(Total)$

$P(Yellow\ or\ Green) = (5)/(105) + (50)/(105)$

$P(Yellow\ or\ Green) = (5 + 50)/(105)$

$P(Yellow\ or\ Green) = (55)/(105)$

$P(Yellow\ or\ Green) = 0.52380952381$

$P(Yellow\ or\ Green) = 0.524$ -- Approximated