Difference between revisions of "User:Kkumar"

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(Created page with "CS395T (53715), Spring, 2013")
 
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CS395T (53715), Spring, 2013
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==Segment 1. Let's Talk about Probability==
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===Problems===
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====To Calculate====
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1. Prove that <math>P(ABC) = P(B)P(C|B)P(A|BC)</math>
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We know from Conditional Probability that, <math>P(B|A) = \frac{P(AB)}{P(A)}</math>
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<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)}\\
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&= P(ABC)\end{align}</math>
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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?