If E1 and E2 are two independent events of a random experiment with P(E1) = \(\frac{1}{2}\) and P(E1 ∪ E2) = \(\frac{2}{3}\). Then,

Consider the following statements:

1. P(E2) is equal to ​\(\frac{1}{3}\)

2. P(E1 | E2) is equal to \(\frac{1}{2}\).

Which of the above statement(s) is /are correct ?

1
Only 1
2
Only 2
3
Both 1 and 2
4
Neither 1 nor 2

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