55:T7bd,

\displaystyle {\mathrm{P}} \left( A \right) = \frac{2}{5}

24:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$55"}}] 25:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}} \\left( B \\right)

"}}] 56:T506,

\displaystyle \frac{1}{2}

26:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$56"}}] 57:T506,

\displaystyle \frac{2}{3}

27:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$57"}}] 58:T506,

\displaystyle \frac{3}{4}

28:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$58"}}] 59:T506,

\displaystyle \frac{5}{6}

29:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$59"}}] 5a:T506,

\displaystyle \frac{6}{7}

2a:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5a"}}] 5b:T50c,

\displaystyle \frac{17}{33}

2c:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5b"}}] 5c:T50c,

\displaystyle \frac{19}{33}

2d:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5c"}}] 5d:T509,

\displaystyle \frac{7}{11}

2e:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5d"}}] 5e:T50c,

\displaystyle \frac{23}{33}

2f:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5e"}}] 31:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

290

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

a

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

1

"}}] 34:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] 35:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

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

4

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

5

"}}] 5f:T7df,

\displaystyle {\mathrm{E}} \left( X \right) = \frac{21}{8}

39:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5f"}}] 3a:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}} \\left( X = 1 \\right)

"}}] 60:T509,

\displaystyle \frac{5}{16}

3b:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$60"}}] 61:T50c,

\displaystyle \frac{11}{32}

3c:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$61"}}] 62:T506,

\displaystyle \frac{3}{8}

3d:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$62"}}] 63:T50c,

\displaystyle \frac{13}{32}

3e:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$63"}}] 64:T509,

\displaystyle \frac{7}{16}

3f:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$64"}}] 65:Tbf2,

f \left( 1 \right) \leq f \left( 2 \right) \leq f \left( 3 \right) \leq f \left( 4 \right) \leq 5

42:["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$65"}}] 43:["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n = 4

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

5

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

6

"}}] 66:T592,

f \left( f \left( n \right) \right) = n

46:["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$66"}}] 47:["$","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":"

70

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

75

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

80

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

85

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

90

"}}],""]}] 67:T4f9,

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

49:["$","td","t0-1-r0c1",{"rowSpan":"$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":"$67"}}],""]}] 4a:["$","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":"

{\\mathrm{0.5}}

"}}],""]}],["$","td","t0-1-r1c1",{"rowSpan":"$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":["",["$","span","t0-1-r1c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{0.1915}}

"}}],""]}]]}] 4b:["$","tr","t0-1-r2",{"children":[["$","td","t0-1-r2c0",{"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-r2c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{1.0}}

"}}],""]}],["$","td","t0-1-r2c1",{"rowSpan":"$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":["",["$","span","t0-1-r2c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{0.3413}}

"}}],""]}]]}] 4c:["$","tr","t0-1-r3",{"children":[["$","td","t0-1-r3c0",{"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-r3c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{1.5}}

"}}],""]}],["$","td","t0-1-r3c1",{"rowSpan":"$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":["",["$","span","t0-1-r3c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{0.4332}}

"}}],""]}]]}] 4d:["$","tr","t0-1-r4",{"children":[["$","td","t0-1-r4c0",{"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-r4c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{2.0}}

"}}],""]}],["$","td","t0-1-r4c1",{"rowSpan":"$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":["",["$","span","t0-1-r4c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{0.4772}}

"}}],""]}]]}] 68:T45d,

2 X + Y = a

69:T60b,

{\mathrm{P}} \left( b \leq X \leq 75 \right) = 0.1359

6a:T6e1,

{\mathrm{P}} \left( a - 160 \leq Y \leq b \right) = 0.4332

4e:["$","p","p2-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p2-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$68"}}],"\n를 만족시킨다.\n\t",["$","span","p2-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$69"}}],"\n\t",["$","span","p2-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6a"}}],"\n일 때, 오른쪽 표준정규분포표를 이용하여 ","$L6b","의 값을 구하시오.\n(단, ","$L6c",", ","$L6d","는 상수이다.) [4점]"]}] 4f:["$","span","p0-0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

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

{\\mathrm{A}}

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

{\\mathrm{B}}

"}}] 52:["$","p","p0-0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["주사위를 한 번 던져 나온 눈의 수가 ",["$","span","p0-0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}],"일 때,\n",["$","span","p0-0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

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

3

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

{\\mathrm{A}}

"}}],"에서 임의로 ",["$","span","p0-0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"장의 카드를 동시에 꺼낸 후 주머니 ",["$","span","p0-0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}],"에서 임의로 ",["$","span","p0-0-1-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"장의 카드를 동시에 꺼내고,\n","$L6e","가 ","$L6f","의 배수가 아니면 주머니 ","$L70","에서 임의로 ","$L71","장의 카드를 꺼낸 후 주머니 ","$L72","에서 임의로 ","$L73","장의 카드를 꺼낸다."]}] 74:T53c,

\displaystyle \frac{q}{p}

53:["$","p","p0-0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["이 시행을 한 번 하여 두 주머니 ",["$","span","p0-0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

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

{\\mathrm{B}}

"}}],"에서 꺼낸 카드 중 같은 숫자가 적힌 카드가 있을 때, 꺼낸 카드 중 숫자 ",["$","span","p0-0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}],"가 적힌 카드의 개수가 ",["$","span","p0-0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"일 확률은 ",["$","span","p0-0-2-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$74"}}],"이다. ","$L75","의 값을 구하시오. (단, ","$L76","와 ","$L77","는 서로소인 자연수이다.) [4점]"]}] 54:["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","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":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r0c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r0c2",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}]]}],["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r1c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}],""]}],["$","td","t0-1-r1c2",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}],""]}]]}]]}]}]}]

2025년-07월-고3-수학문제(확통)