Draw1King

Draw1King - Recall the practice test problem concerning...

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Recall the practice test problem concerning drawing exactly 1 King from a standard deck of 52 playing cards. The argument was made in class that one can compute the answer beginning with the probability of drawing one King being 4 52 and multiplying by other similar fractions to obtain the answer. To understand this better we consider a smaller case problem. Suppose we have a deck of 5 playing cards that we shall label The first two are Kings and the last three are distinct cards but Not Kings. We are asked to obtain the probability of drawing exactly 1 King in a hand of 3 cards. 12123 ,,,, KKNNN . The sample space can easily be enumerated in this case: 121 123 122 212 213 112 2 2 3 113 12 3 KKN KNN NNN Clearly [] 6 Exactly 1 King (just count the sample points). 10 P = According to the formula we learned in class the answer is 23 12 23 6 Exactly 1 King . 5 10 10 3 P ⎛⎞ ⎜⎟ × ⎝⎠ == = If we try the approach suggested by students in class, however, we have 22 Exactly 1 King
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This note was uploaded on 02/11/2012 for the course CSE 2400 taught by Professor Marin during the Spring '08 term at FIT.

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Draw1King - Recall the practice test problem concerning...

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