Since it is specified in the question that A and B are independent of each other, the probability of event A happening is the same as the probability of event B happening. However, without more information, it is difficult to come to a conclusion about what the exact probability is. I can say that since Event A and Event B are independent, neither has a bearing on whether the other happens or not.
Independent probability events are equally as likely to happen as the other, but they will not happen at the same time. So, think of rolling a die. You could roll a one or a six with equal probability, but you’re not going to roll them at the same time on the same die.
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