89.5k views
4 votes
and 6 In an experiment, the probability that event A occurs is the probability that event B occurs is 9 7 4 the probability that events A and B both occur is - 9 What is the probability that A occurs given that B occurs? Simplify any fractions.

1 Answer

4 votes

ANSWER

P(A|B) = 1

Step-by-step explanation

By the Bayes rule:


P(A|B)=\frac{P(A\text{ and B)}}{P(B)}

In this problem both probabilities are equal: P(A and B) = 4/9 and P(B) = 4/9. The probability of A given B is:


P(A|B)=(4/9)/(4/9)=1

User Emery King
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories