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## Main Question or Discussion Point

Question about conditional probability. Can someone help me ?

(a) Show that if

(b) If

(c) Explain this, throught ratio idea:

P(A|B) > P(A) => P(B|A) > P(B).

**Repulsion**. The event*A*is said to be repelled by the event*B*is P(A|B) < P(A), and to be attracted by*B*P(A|B) > P(A).(a) Show that if

*B*attracts*A*, then*A*attracts*B*, and*~B*repels*A*.(b) If

*A*attracts*B*, and*B*attarcts*C*, does*A*attract*C*?(c) Explain this, throught ratio idea:

P(A|B) > P(A) => P(B|A) > P(B).