Question

ACCORDING TO THE GENERAL EQUATION FOR CONDITIONAL PROBABILITY , if p(A∩B) = 3/10 and p(B) = 2/5 what is P(AlB)

Answer 1

The conditional probability is $P(A|B)=\frac{3}{4}$

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 $P(A|B)=\frac{3}{4}$