Lazar drives to work every day and passes two independently operated traffic lights. the probability that both lights are green is 0.41. the probability that the first light is green is 0.59. what is the probability that the second light is green, given that the first light is green? . a. 0.71. b. 0.69. c. 0.67. d. 0.73

The probability is :

0.695 ( Option: B is the correct answer)

Step-by-step explanation:

Let P denotes the probability of an event.

Let A denotes the event of first light being green.

Let B denote the event of second light being green.

Also, we are given that:

The probability that both lights are green is 0.41.

i.e. P(A∩B)=0.41

The probability that the first light is green is 0.59.

i.e. P(A)=0.59

Now, we are asked to find:

P(B|A)

We can represent this expression as:

Hence, the probability of second light being green given the first light is green is:

0.695

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: