I need help with this probability question!
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I need help with this probability question!

[From: ] [author: ] [Date: 12-01-02] [Hit: ]
P(F) = 0.3, and P(E and F) = 0.15.a. Find the probability that Louisa must stop at at least one light.......
1. Louisa’s route from home to work has two traffic lights. Let E denote the event that Louisa must stop at the first light, and let F denote the event that Louisa must stop at the second light. Suppose that P(E) = 0.4, P(F) = 0.3, and P(E and F) = 0.15.
a. Find the probability that Louisa must stop at at least one light. (In other words, what is the probability of the event E times F?)


b. Find the probability that Louisa must stop at exactly one of the two lights.

please show work and thanks a plethora!

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qa
from the figures given the 2 events aren't independent.
the probability of P(E & F) has already been GIVEN as 0.15 <-------

qb
P(only A) + P(only B) = (0.4-0.15) + (0.3-0.15) = 0.4 <--------
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