The probability of event B is 8/9 and the probability of event A given that event B occurs is 5/8. Therefore, the probability of events A and B occurring is 5/9.
To find the probability of events A and B occurring simultaneously, we can use the formula P(A AND B) = P(B) * P(A|B), where P(B) is the probability of event B occurring and P(A|B) is the probability of event A occurring given that event B has already occurred.
The probability of events A and B occurring simultaneously can be found using the formula P(A AND B) = P(B) * P(A|B), where P(B) represents the probability of event B occurring and P(A|B) represents the probability of event A occurring given that event B has already occurred.
In this case, the probability of event B occurring is 8/9, and the probability of event A occurring given that event B has occurred is 5/8. Using the formula, we can calculate P(A AND B) as follows:
P(A AND B) = (8/9) * (5/8)
= 40/72
= 5/9