ACCORDING TO THE GENERAL EQUATION FOR CONDITIONAL PROBABILITY , if p(A

1.	ACCORDING TO THE GENERAL EQUATION FOR CONDITIONAL PROBABILITY , if p(A∩B) = 3/10 and p(B) = 2/5 what is P(AlB)
Answer» The conditional probability is $P(A\|<klux>B</klux>)=\frac{3}{4}$ Step-by-step EXPLANATION: Given that $P(A\bigcap B)=\frac{3}{10}$ and $P(B)=\frac{2}{5}$ To find the conditional probability $P(A\|B)$ : Conditional probabiltiy- P(A\|B) means "Event A given Event B" In other WORDS, event B has ALREADY HAPPENED, now what is the chance of event A. The conditional probability formula is $P(A\|B)=\frac{P(A\bigcap B)}{P(B)}$ Now substitute the values of the probabilities we get $P(A\|B)=\frac{\frac{3}{10}}{\frac{2}{5}}$ $=\frac{3}{10}\times \frac{5}{2}$ $=\frac{3}{2}\times \frac{1}{2}$ $=\frac{3}{4}$ Therefore the conditional probability is $P(A\|B)=\frac{3}{4}$