188k views
0 votes
2 In an experiment, the probability that event A occurs is and 1 the probability that event B occurs is 3 the probability that events A and B both occur is - 6 What is the probability that A occurs given that B occurs? Simplify any fractions.

1 Answer

5 votes

Given the events A and B

The probability of A is P(A)=2/9

The probability of B is P(B)= 1/3

The probability of the intersection of both events, A and B is P(A∩B)= 1/6

You have to calculate the probability of A occurring, given that B already occurred, to do so you have to use the definition of the conditional probability:


\begin{gathered} P(A|B)=(P(A\cap B))/(P(B)) \\ P(A|B)=((1)/(6))/((1)/(3)) \\ P(A|B)=(1)/(6)\cdot3 \\ P(A|B)=(1)/(2) \end{gathered}

So, the probability of A, given that B occurred is 1/2

User Rabih Kodeih
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