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P(R3|B)=P(R3(W1W2 or R1W2 or W1R2 or R1R2)
=P(R3W1W2|B)+P(R3R1W2|B)+P(R3W1R2|B)+P(R3R1R2|B)
=P(W1|B)P(W2|W1B)P(R3|W1W2B)+P(R1|B)P(W2|R1B)P(R3|R1W2B)+P(W1|B)P(R2|W1B)P(R3|W1R2B)+P(R1|B)P(R2|R1B)P(R3|R1R2B)
=(n-m/n)(n-m-1/n-1)(m/m-2)+(m/n)(n-m/n-1)(m-1/n-2)+(n-m/n)(m/n-1)(m-1/n-2)+m/n(m-1/n-1)(m-2/n-2)
=(m/n(n-1)(n-2))[(m-1)(m-2)+(n-m)(m-1)+(n-m)(m-1)+(n-m)(n-m-1)]
=m/(n(n-1)(n-2)[-3m+2+nm-n+m+nm-n+m+n^2-nm-n-nm+m]
=m/n(n-1)(n-2)[2-3n+n^2]=m/n(n-1)(n-2)[(n-1)(n-2)]=m/n qed!
Thank you for the lecture. Are you familiar with Nikolai Kozyrev's "causal mechanics" model? He devised a fairly straightforward way of objectively determining cause and effect by looking at time flow as the energy source for everything.
No, don’t know. I’ll look it up. Thanks.
P(R3|B)=P(R3(W1W2 or R1W2 or W1R2 or R1R2)
=P(R3W1W2|B)+P(R3R1W2|B)+P(R3W1R2|B)+P(R3R1R2|B)
=P(W1|B)P(W2|W1B)P(R3|W1W2B)+P(R1|B)P(W2|R1B)P(R3|R1W2B)+P(W1|B)P(R2|W1B)P(R3|W1R2B)+P(R1|B)P(R2|R1B)P(R3|R1R2B)
=(n-m/n)(n-m-1/n-1)(m/m-2)+(m/n)(n-m/n-1)(m-1/n-2)+(n-m/n)(m/n-1)(m-1/n-2)+m/n(m-1/n-1)(m-2/n-2)
=(m/n(n-1)(n-2))[(m-1)(m-2)+(n-m)(m-1)+(n-m)(m-1)+(n-m)(n-m-1)]
=m/(n(n-1)(n-2)[-3m+2+nm-n+m+nm-n+m+n^2-nm-n-nm+m]
=m/n(n-1)(n-2)[2-3n+n^2]=m/n(n-1)(n-2)[(n-1)(n-2)]=m/n qed!
Thank you for the lecture. Are you familiar with Nikolai Kozyrev's "causal mechanics" model? He devised a fairly straightforward way of objectively determining cause and effect by looking at time flow as the energy source for everything.
No, don’t know. I’ll look it up. Thanks.