Consider the following data for the next three (03) items that follow :

The incidence of suffering from a disease among workers in an industry has a chance of $33\frac{1}{3}\%.$

What is the probability that no one out of 6 workers suffers from a disease?

Consider the following data for the next three (03) items that follow :

The incidence of suffering from a disease among workers in an industry has a chance of $33\frac{1}{3}\%.$

What is the probability that at least one out of 6 workers suffer from a disease ?

Consider the following relations for two events E and F :

1. P(E ∩ F) ≥ P(E) + P(F) - 1

2. P(E ∪ F) = P(E) + P(F) + P(E ∩ F)

3. P(E ∪ F) ≤ P(E) + P(F)

Which of the above relations is/are correct?

If P(A|B) < P(A), then which one of the following is correct?