Use Equation (2.1) to compute in a hand of bridge the

Chapter 3, Problem 3P

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QUESTION:

Problem 3P

Use Equation (2.1) to compute in a hand of bridge the conditional probability that East has 3 spades given that North and South have a combined total of 8 spades.

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QUESTION:

Problem 3P

Use Equation (2.1) to compute in a hand of bridge the conditional probability that East has 3 spades given that North and South have a combined total of 8 spades.

ANSWER:

Step 1 of 2

(a)

We are asked to compute the conditional probability that East has 3 spades given that North and South have a combined total of 8 spades by using equation 2.1.

The conditional probability is defined in equation (2.1) is,

Let  be the event that East has three spades and  be the event that the combined North-South pair has eight spades. Then

Lets find the

We have thirteen total spades from which we should pick eight to the give the North-South pair.

This gives factor of,

 

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