:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/46/image6-X4eGMJZjF0EfvKjfD5SJmxY2GjpfEW.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/46/image7-2TBFcJTYuSH7tFywBIMEQB3RqGCTzs.png","image"] 5c:T894,

\displaystyle {\mathrm{P}} \mathit{\left( A \cap B \right)} = \frac{1}{5}

25:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5c"}}] 26:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}} \\mathit{\\left( A \\cup B \\right)}

"}}] 5d:T506,

\displaystyle \frac{1}{2}

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

\displaystyle \frac{3}{5}

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

\displaystyle \frac{7}{10}

29:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5f"}}] 60:T506,

\displaystyle \frac{4}{5}

2a:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$60"}}] 61:T509,

\displaystyle \frac{9}{10}

2b:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$61"}}] 2e:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b - a

"}}] 2f:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

Z

"}}] 62:T5fc,

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

30:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$62"}}] 31:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{0.49}

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

\\mathrm{0.52}

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

\\mathrm{0.55}

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

\\mathrm{0.58}

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

\\mathrm{0.61}

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

\\mathrm{B}

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

7

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

16

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

3

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

3

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

\\mathrm{B}

"}}] 63:T506,

\displaystyle \frac{3}{4}

3c:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$63"}}] 64:T506,

\displaystyle \frac{4}{5}

3d:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$64"}}] 65:T50c,

\displaystyle \frac{17}{20}

3e:["$","span","p0-0-t0-m31",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$65"}}] 66:T509,

\displaystyle \frac{9}{10}

3f:["$","span","p0-0-t0-m33",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$66"}}] 67:T50c,

\displaystyle \frac{19}{20}

40:["$","span","p0-0-t0-m35",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$67"}}] 41:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

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

\\displaystyle \\overline{X}

"}}] 68:T7e3,

\displaystyle {\mathrm{V}} \mathit{\left( a \overline{X} + 6 \right)} = 24

43:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$68"}}] 44:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

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

1

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

2

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

3

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

4

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

5

"}}] 4a:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/46/image6-X4eGMJZjF0EfvKjfD5SJmxY2GjpfEW.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"41cqw"}}]]}] 69:T595,

f \left( 1 \right) \times f \left( 6 \right)

4d:["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$69"}}] 4e:["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

"}}] 6a:T1053,

2 f \left( 1 \right) \leq f \left( 2 \right) \leq f \left( 3 \right) \leq f \left( 4 \right) \leq f \left( 5 \right) \leq 2 f \left( 6 \right)

4f:["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6a"}}] 50:["$","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":"

166

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

171

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

176

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

181

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

186

"}}],""]}] 6b:T9ea,

{\mathrm{N}} \mathit{\left( m _{2} , \sigma _{2} ^{2} \right)}

52:["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6b"}}] 53:["$","span","p0-0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

Y

"}}] 6c:T867,

{\mathrm{P}} \mathit{\left( X \leq x \right)} = {\mathrm{P}} \mathit{\left( X \geq 40 - x \right)}

6d:T863,

{\mathrm{P}} \mathit{\left( Y \leq x \right)} = {\mathrm{P}} \mathit{\left( X \leq x + 10 \right)}

54:["$","p","p0-0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["모든 실수 ",["$","span","p0-0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대하여\n",["$","span","p0-0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6c"}}],"이고\n",["$","span","p0-0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6d"}}],"이다."]}] 6e:T984,

{\mathrm{P}} \mathit{\left( 15 \leq X \leq 20 \right)} + {\mathrm{P}} \mathit{\left( 15 \leq Y \leq 20 \right)}

6f:T788,

m _{1} + \sigma _{2}

55:["$","p","p0-0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6e"}}]," 의 값을 다음 표준정규분포표를 이용하여 구한 것이 ",["$","span","p0-0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{0.4772}

"}}],"일 때, ",["$","span","p0-0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6f"}}],"의 값을 구하시오. (단, ","$L70","과 ","$L71","는 양수이다.) [4점]"]}] 72:T4d9,

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

56:["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","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":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$72"}}],""]}]]}],["$","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":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["","$L73",""]}]]}],"$L74","$L75","$L76"]}]}]}] 57:["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k \\leq 5

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

k

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

k = 6

"}}] 77:T53c,

\displaystyle \frac{q}{p}

5a:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["위의 시행을 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}],"번 반복한 후 이 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}],"개의 동전이 모두 앞면이 보이도록 놓여 있을 확률은 ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$77"}}],"이다. ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p + q

"}}],"의 값을 구하시오. (단, ","$L78","와 ","$L79","는 서로소인 자연수이다.) [4점]"]}] 5b:["$","p","p0-3",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-3-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/46/image7-2TBFcJTYuSH7tFywBIMEQB3RqGCTzs.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"84cqw"}}]]}]

2025학년도 수능 수학(확통)