Conditional Probability & Independence

Question

Let E and F be disjoint events with P(E) = .2 and P(F) = .3.

(a) Find P(E ᴜ F).

(b) Find P(E ∩ F).

Answer 1

Disjoint events cannot happen at the same time. In other words, they are mutually exclusive.

(a) Find P(E ᴜ F) = P(E) + P(F) - P(E ∩ F) { For disjoint events P(E ∩ F) = 0 }

Hence, P(E) + P(F) - 0.

P(E) + P(F) => 0.2 + 0.3 = 0.5

(b) Find P(E ∩ F) = 0

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