# Difference between revisions of "User:Kkumar"

## Segment 1. Let's Talk about Probability

### Problems

#### To Calculate

1. Prove that $P(ABC) = P(B)P(C|B)P(A|BC)$

We know from Conditional Probability that, $P(B|A) = \frac{P(AB)}{P(A)}$

\begin{align}P(B)P(C|B)P(A|BC) &= P(B)\text{ }\frac{P(BC)}{P(B)}\text{ }\frac{P(ABC)}{P(BC)}\\ &= P(ABC)\end{align}


2. What is the probability that the sum of two dice is odd with nether being a 4?