一个袋子里装有7个球,其中有红球4个, 编号分别为1，2，3，4；白球3个,编号分别为1，2，3.从袋子中任取4个 一个袋子里装有7个球，其中有红球4个，编号分别为1，2，3，...

\u4e00\u4e2a\u888b\u5b50\u91cc\u88c5\u67097\u4e2a\u7403,\u5176\u4e2d\u6709\u7ea2\u74034\u4e2a,\u7f16\u53f7\u5206\u522b\u4e3a1,2,3,4;\u767d\u74033\u4e2a,\u7f16\u53f7\u5206...

(\u2160) \u8bbe\u201c\u53d6\u51fa\u76844\u4e2a\u7403\u4e2d,\u542b\u6709\u7f16\u53f7\u4e3a3\u7684\u7403\u201d\u4e3a\u4e8b\u4ef6A,\u5219P(A)=
C
12
C
35
+
C
22
C
25
C
47
=
6
7
\u6240\u4ee5,\u53d6\u51fa\u76844\u4e2a\u7403\u4e2d,\u542b\u6709\u7f16\u53f7\u4e3a3\u7684\u7403\u7684\u6982\u7387\u4e3a
6
7
.\u2026(5\u5206)
(\u2161)\u968f\u673a\u53d8\u91cfX\u7684\u6240\u6709\u53ef\u80fd\u53d6\u503c\u4e3a1,2,3,4.\u2026(6\u5206)P(X=1)=
C
33
C
47
=
1
35
,P(X=2)=
C
34
C
47
=
4
35
,P(X=3)=
C
35
C
47
=
2
7
,P(X=4)=
C
36
C
47
=
4
7
,\u2026(10\u5206)
\u6240\u4ee5\u968f\u673a\u53d8\u91cfX\u7684\u5206\u5e03\u5217\u662f
X
1
2
3
4
P
1
35
4
35
2
7
4
7
\u968f\u673a\u53d8\u91cfX\u7684\u6570\u5b66\u671f\u671bEX=1\u00d7
1
35
+2\u00d7
4
35
+3\u00d7
2
7
+4\u00d7
4
7
=
17
5
.\u2026(14\u5206)

\uff08\u2160\uff09 \u8bbe\u201c\u53d6\u51fa\u76844\u4e2a\u7403\u4e2d\uff0c\u542b\u6709\u7f16\u53f7\u4e3a3\u7684\u7403\u201d\u4e3a\u4e8b\u4ef6A\uff0c\u5219 P(A)= C 12 C 35 + C 22 C 25 C 47 = 6 7 \u6240\u4ee5\uff0c\u53d6\u51fa\u76844\u4e2a\u7403\u4e2d\uff0c\u542b\u6709\u7f16\u53f7\u4e3a3\u7684\u7403\u7684\u6982\u7387\u4e3a 6 7 \uff0e\u2026\uff085\u5206\uff09\uff08\u2161\uff09\u968f\u673a\u53d8\u91cfX\u7684\u6240\u6709\u53ef\u80fd\u53d6\u503c\u4e3a1\uff0c2\uff0c3\uff0c4\uff0e\u2026\uff086\u5206\uff09 P(X=1)= C 33 C 47 = 1 35 \uff0c P(X=2)= C 34 C 47 = 4 35 \uff0c P(X=3)= C 35 C 47 = 2 7 \uff0c P(X=4)= C 36 C 47 = 4 7 \uff0c\u2026\uff0810\u5206\uff09\u6240\u4ee5\u968f\u673a\u53d8\u91cfX\u7684\u5206\u5e03\u5217\u662f X 1 2 3 4 P 1 35 4 35 2 7 4 7 \u968f\u673a\u53d8\u91cfX\u7684\u6570\u5b66\u671f\u671b EX=1\u00d7 1 35 +2\u00d7 4 35 +3\u00d7 2 7 +4\u00d7 4 7 = 17 5 \uff0e\u2026\uff0814\u5206\uff09

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