Looks like your P(B), P(A&B) are using different events

回答: conditional probability:redplum2020-05-19 13:33:06

P(B)is using "marble pick" as event and color order matters;  whereas P(A&B) is using "bag pick" as event marble color picking order does NOT matter.

P(A&B) using "marble pick" as event and color order matters={白白}/ {白白,白黑,黑白,黑黑}=1/4

P(A|B) = P(A&B)/P(B)=(1/4) /( 1/2)=1/2    !

 

 

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