Question

把一顆質(zhì)地均勻的骰子任意拋擲一次,設(shè)事件A=“擲出偶數(shù)點”,B=“擲出3的倍數(shù)點”,求出事件A,B,的概率,以及事件A∩B,∩B,A∩,∩的概率,并據(jù)此判斷P(A∩)與P(A)·P(),P(A∩B)與P(A)·P(B),P(∩B)與P()·P(B),P(∩)與P()·P()的大小關(guān)系.

Answer 1

解析：A=“擲出偶數(shù)點”={2,4,6},

B=“擲出3的倍數(shù)點”={3,6},

∴={1,3,5},={1,2,4,5},

P(A)==,P(B)==,P()=,P()=,

A∩B={6},P(A∩B)=,∩B={3},P(∩B)=,A∩={2,4},P(A∩)=,∩={1,5},P(∩)=,P(A∩)=P(A)·P(),P(A∩B)=P(A)·P(B),P(∩B)=P()·P(B),P(∩)=P()·P().