经十次后球又回到A的概率为:
C(10,0)*(1/2)^0*(1/2)^(10-0)+C(10,5)*(1/2)^5*(1/2)^(10-5)+C(10,10)*(1/2)^10*(1/2)^(10-10)
=(C(10,0)+C(10,5)+C(10,10)))*(1/2)^10
=(1+252+1)/2^10
=254/1024
=127/512
经十次后球又回到A的概率为:
C(10,0)*(1/2)^0*(1/2)^(10-0)+C(10,5)*(1/2)^5*(1/2)^(10-5)+C(10,10)*(1/2)^10*(1/2)^(10-10)
=(C(10,0)+C(10,5)+C(10,10)))*(1/2)^10
=(1+252+1)/2^10
=254/1024
=127/512