kwesitabirip86gvc kwesitabirip86gvc
  • 04-05-2018
  • Mathematics
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Marti rolls two dice what is the probability that the sum of the dice is 7 given that the first die is 2

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Nathanyel144
Nathanyel144 Nathanyel144
  • 04-05-2018
we have 6x6 for all the possibilities for rolling 2 dices. and we know: (2;5) is the only way So the answer should be 1/36 i hope its right  :)
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konrad509
konrad509 konrad509
  • 17-07-2018

A - the sum of two dice is 7

B - the first die is 2


[tex] P(A|B)=\dfrac{P(A \cap B)}{P(B)}\\\\
|\Omega|=6^2=36\\
|A\cap B|=1\\
|B|=1\cdot6=6\\\\
P(A\cap B)=\dfrac{1}{36}\\
P(B)=\dfrac{6}{36}=\dfrac{1}{6}\\\\
P(A|B)=\dfrac{\dfrac{1}{36}}{\dfrac{1}{6}}=\dfrac{1}{36}\cdot6=\dfrac{1}{6} [/tex]


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