# Difference between revisions of "User:Kkumar"

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(Created page with "CS395T (53715), Spring, 2013") |
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− | + | ==Segment 1. Let's Talk about Probability== | |

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+ | ===Problems=== | ||

+ | |||

+ | ====To Calculate==== | ||

+ | |||

+ | 1. Prove that <math>P(ABC) = P(B)P(C|B)P(A|BC)</math> | ||

+ | |||

+ | We know from Conditional Probability that, <math>P(B|A) = \frac{P(AB)}{P(A)}</math> | ||

+ | |||

+ | |||

+ | <math>\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}</math> | ||

+ | |||

+ | |||

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

## Revision as of 22:16, 16 January 2013

## Segment 1. Let's Talk about Probability

### Problems

#### To Calculate

1. Prove that <math>P(ABC) = P(B)P(C|B)P(A|BC)</math>

We know from Conditional Probability that, <math>P(B|A) = \frac{P(AB)}{P(A)}</math>

<math>\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}</math>

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