Question

Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, what is the probability that both events occur

Answer 1

Answer:

0

Step-by-step explanation:

Given that:

The probability of event A = 0.4

i.e. P(A) = 0.4

The probability of  event B = 0.5

P(B) = 0.5

Given that A and B are disjoint, then they do not have any elements in common. Thus, the probability that both events will occur is;

P(A ∩ B) = empty set {}, and the cardinality of the intersection of these two disjoint sets are, therefore, zero (0).