Seven white balls and three black balls are randomly placed in a row. What is the probability that no two black balls are placed adjacently?

Let two events A and B be such that P(A) = L and P(B) = M. Which one of the following is correct?

If $\rm P(A\cup B)=\dfrac{5}{6}, P(A\cap B)=\dfrac{1}{3}\:and\:P(\bar A)=\dfrac{1}{2}$, then which of the following is/are correct?

1. A and B are independent events.

2. A and B are mutually exclusive events.

Select the correct answer using the code given below.

A coin is tossed twice. If E and F denote occurrence of head on first toss and second toss respectively, then what is P(E ∪ F) equal to?