of the two lights on dexter street, the probability of the lights being red is 20% for the first light and…

of the two lights on dexter street, the probability of the lights being red is 20% for the first light and 30% for the second light. if a car is driving down dexter street, what is the probability that it does not get stopped at either light?

of the two lights on dexter street, the probability of the lights being red is 20% for the first light and 30% for the second light. if a car is driving down dexter street, what is the probability that it does not get stopped at either light?

Answer

Explanation:

Step1: Find non - red probabilities

The probability that the first light is not red is $1 - 0.2=0.8$. The probability that the second light is not red is $1 - 0.3 = 0.7$.

Step2: Use multiplication rule for independent events

Since the two lights are independent events, the probability that the car is not stopped at either light (both lights are not red) is the product of the non - red probabilities of each light. So we calculate $0.8\times0.7$. $0.8\times0.7 = 0.56$

Answer:

$0.56$