By definition of probability, the probability of event B is 0.62.
Probability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.
In this case, you know:
Replacing in the definition of union:
0.89= 0.48 + P(B) - 0.21
Solving:
0.89= 0.27 + P(B)
0.89- 0.27= P(B)
0.62= P(B)
Finally, the probability of event B is 0.62.
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