Answer:
[tex]P(B|A) = 0.797[/tex]
Step-by-step explanation:
Call A to the event that represents a red light at the first traffic light
Then, call B the event that represents a red light at the second traffic light.
Then we know that:
P(A∩B) = 0.55
P(A) = 0.69
Then the probability that the second light is red because the first one is red is:
[tex]P(B|A) = \frac{P(A\ and\ B)}{P(A)}[/tex]
Then:
[tex]P(B|A) = \frac{0.55}{0.69}\\\\P(B|A) = 0.797[/tex]
There is a 79.7% chance that the second light is in red
Answer:
0.797%
Step-by-step explanation:
Step 1: Find the probability that both lights are red and that the first light is red
This is P(A ∩ B)
P(Both lights are red )=0.55
This is P(B)
P (first light is red) = 0.69
Step 2: use the formula P(A∩B)/P(B)
0.55/0.69=0.79710144
0.797%
