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Chapter 3: Q.3.3 (page 97)

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

Short Answer

Expert verified

The conditional probability is0.339

Step by step solution

01

Step 1:Given Information

The probability that East has 3spades given that North and South have a consolidated complete of 8 spades is,

P(East has3spades鈭�North-South has8spades)=P(East has3,N鈭�Shas8)P(N鈭�Shas8)

02

Step 2:Explanation

The probability that north and south has 8 spades is,

P(N鈭�Shas8)=13839185226

=0.1618

The probability that East has 3and North and South has 8spades is

P(East has3and N-Shas8)=138391853211052262613

=0.0548

03

Step 3:Final Answer

The conditional probability that East has 3spades and North and South have a combined total of 8 spades,

P (East has3spades鈭�North-South has8spades)=0.05480.1618

=0.339

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