A bridge hand in which there is no card higher than a nine is called a Yarborough. Specify an appropriate sample space and determine the probability of Yarborough when you are randomly dealt 13 cards out of a well-shuffled deck of 52 cards.

Question

Jesse Burton

Mathematics

20 December, 03:52

A bridge hand in which there is no card higher than a nine is called a Yarborough. Specify an appropriate sample space and determine the probability of Yarborough when you are randomly dealt 13 cards out of a well-shuffled deck of 52 cards.

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Thaddeus Burnett · Answer 1

The probability of Yarborough when you are randomly dealt 13 cards out of a well-shuffled deck of 52 card is 0.000547.

Step-by-step explanation:

The number of ways you can choose a set of 13 different cards from a deck of 52 cards is given by 52P13.

Hence the unordered sample space has 52P13 equally likely outcomes. The number of outcomes with no card above a nine is 32P13.

This leads to the same value for the desired probability of a Yarborough:

32P13 / 52P13 = 0.000547.