Steß 3: me have to find the poobalbility that dhe Selected Coin was dwo.heoded given that the flipprd Coin shows head. This xaguired broabi lity is given by PCES A) PCE).PCA|F,) %3D PCEI).PCAIEJ+PCEz) P CAIE2)+ P(E3)•PCAIE3)

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Steß 3:
me have to find the poobalbility that dhe selected Coin
was dwo.heoded given that the flipped Coin Shows
head.
This neguired bsobability is gixen by
PCEslA)
PCE).PCA|E)
PCEI) PCAIEJ+ PCE) PCAIE2)+ P(E3)•PCAIE3)
The above for mula Comes from the bayel's theoxem,
%3D
=) PCEIA)
X 1
* (0-75)
(3)x 1
%3D
(5)[++£+0-75]
1
= 0:५५५५५
2.25
= 0.444 Cround off)
Ams
Thoro fore, the fro bability that it vas the two -headed
Coin is o.444·
Transcribed Image Text:Steß 3: me have to find the poobalbility that dhe selected Coin was dwo.heoded given that the flipped Coin Shows head. This neguired bsobability is gixen by PCEslA) PCE).PCA|E) PCEI) PCAIEJ+ PCE) PCAIE2)+ P(E3)•PCAIE3) The above for mula Comes from the bayel's theoxem, %3D =) PCEIA) X 1 * (0-75) (3)x 1 %3D (5)[++£+0-75] 1 = 0:५५५५५ 2.25 = 0.444 Cround off) Ams Thoro fore, the fro bability that it vas the two -headed Coin is o.444·
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