Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?
Solution
Correct Answer: Option B
These two events cannot be disjoint because P(K) + P(L) > 1.
P(AꓴB) = P(A) + P(B) - P(AꓵB).
An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4
And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.
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