Question

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. what is the probability that A occurs given that B occurs?

Answer 1

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%.