59:Tad7,

\displaystyle {\mathrm{P}} \left( A ^{C} \cap B \right) = \frac{1}{4}

23:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$59"}}] 5a:T53d,

{\mathrm{P}} \left( A ^{C} \right)

24:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$5a"}}] 5b:T506,

\displaystyle \frac{1}{3}

25:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5b"}}] 5c:T506,

\displaystyle \frac{3}{8}

26:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5c"}}] 5d:T509,

\displaystyle \frac{5}{12}

27:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5d"}}] 5e:T50c,

\displaystyle \frac{11}{24}

28:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5e"}}] 5f:T506,

\displaystyle \frac{1}{2}

29:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5f"}}] 2a:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}] 2b:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] 2c:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] 60:T506,

\displaystyle \frac{1}{4}

2d:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$60"}}] 61:T50c,

\displaystyle \frac{15}{56}

2e:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$61"}}] 62:T506,

\displaystyle \frac{2}{7}

2f:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$62"}}] 63:T50c,

\displaystyle \frac{17}{56}

30:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$63"}}] 64:T509,

\displaystyle \frac{9}{28}

31:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$64"}}] 33:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

m

"}}] 34:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

95 \\%

"}}] 65:Tade,

\displaystyle {\overline{x}} - c \leq m \leq {\overline{x}} + c

35:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$65"}}] 36:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

c

"}}] 37:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

Z

"}}] 66:T616,

{\mathrm{P}} \left( \left| Z \right| \leq 1.96 \right) = 0.95

38:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$66"}}] 39:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.47

"}}] 3a:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.49

"}}] 3b:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.51

"}}] 3c:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.53

"}}] 3d:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

0.55

"}}] 67:T506,

\displaystyle \frac{1}{4}

3e:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$67"}}] 68:T509,

\displaystyle \frac{5}{16}

3f:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$68"}}] 69:T506,

\displaystyle \frac{3}{8}

40:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$69"}}] 6a:T509,

\displaystyle \frac{7}{16}

41:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6a"}}] 6b:T506,

\displaystyle \frac{1}{2}

42:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6b"}}] 43:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{C}}

"}}] 44:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) 두 학생 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}],", ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}],"는 각각 ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"장 이상의 카드를 받고,\n학생 ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{C}}

"}}],"는 카드를 받지 못할 수 있다.\n(나) 학생 ",["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}],"가 받는 카드의 색의 가짓수는 ",["$","span","p0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}]," 이하이다."]}] 45:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

730

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

746

"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

762

"}}],"\n④ ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

778

"}}],"\n⑤ ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

794

"}}],""]}] 48:["$","span","p0-0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

B

"}}] 49:["$","span","p0-0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 4a:["$","p","p0-0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["이 시행을 ",["$","span","p0-0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

15360

"}}],"번 반복하여 기록한 수가 ",["$","span","p0-0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"인 횟수가 ",["$","span","p0-0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5880

"}}]," 이상일 확률을 오른쪽 표준정규분포표를 이용하여 구한 값이 ",["$","span","p0-0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}],"일 때, ",["$","span","p0-0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1000 \\times k

"}}],"의 값을 구하시오. [4점]"]}] 6c:T4f9,

{\mathrm{P}} \left( 0 \leq Z \leq z \right)

4b:["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","table",null,{"className":"w-auto border-collapse text-[15px]","children":["$","tbody",null,{"children":[["$","tr","t0-1-r0",{"children":[["$","td","t0-1-r0c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

z

"}}],""]}],["$","td","t0-1-r0c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6c"}}],""]}]]}],["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1.0

"}}],""]}],["$","td","t0-1-r1c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["","$L6d",""]}]]}],"$L6e","$L6f","$L70","$L71"]}]}]}] 4c:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] 4d:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 4e:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}] 4f:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

"}}] 50:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}] 51:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

"}}] 52:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}] 53:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}] 54:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}] 55:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}] 56:["$","span","p0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

q

"}}] 57:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["⦁카드를 내려놓은 학생이 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"명이면 더 큰 수가 적힌 카드를 내려놓은 학생만 귤을 받는다.\n⦁카드를 내려놓은 학생이 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"명이면 카드를 내려놓지 않은 학생만 귤을 받는다.\n⦁카드를 내려놓은 학생이 없으면 어느 학생도 귤을 받지 못한다."]}] 58:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p = q

"}}],"일 때, ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

24 \\left( n + p \\right)

"}}],"의 값을 구하시오. (단, ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"은 ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}]," 이하의 자연수이다.) [4점]"]}]

2025년-09월-고3-수학문제(확통)