Final answer:
The probability of either event A or event B occurring can be calculated using the formula: P(A or B) = P(A) + P(B) - P(A and B). In this case, the probability that either event A or event B will occur is 0.22.
Step-by-step explanation:
The probability of either event A or event B occurring can be calculated using the formula: P(A or B) = P(A) + P(B) - P(A and B).
In this case, the probabilities of event A and event B are given as A=0.12 and B=0.10, respectively. Since the events are mutually exclusive, the probability of both events occurring (A and B) is 0.
Therefore, the probability of either event occurring is:
P(A or B) = P(A) + P(B) - P(A and B) = 0.12 + 0.10 - 0 = 0.22.
Therefore, the probability that either event A or event B will occur is 0.22.