Answer:
The probability that A occurs given that B occurred is 333/400, that is, 83.25%.
Step-by-step explanation:
Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:
4/5 = 0.8
2/3 = 0.666
0.8 x X = 0.666
X = 0.666 / 0.8
X = 0.8325
0.8325 = 333/400
Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.
