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 Post subject: Re: Probability Theory
PostPosted: Wed, 16 Nov 2016 14:09:00 UTC 
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REnteria wrote:
Hi All,

can you help me with this one.

i would like to know the probability of drawing an ACE and a KING but the scenario is 30% of the deck has been dealt with. assume that it is 8 - deck.

thanks


Do you know that that 30% has no aces or kings? If no, it's the same probability.

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outermeasure
 Post subject: Re: Probability Theory
PostPosted: Thu, 17 Nov 2016 03:13:57 UTC 
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Topic moved from DE to Prob&Stats.

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\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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