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1c:Tf48,初めまして！慶應大学経済学部A方式に合格したものです。(商学部も受かりました。)
僕は元々東京大学をめざしていたこともあり、数学は比較的得意だったので、アドバイスが出来たら嬉しいです。
慶應大学経済学部の場合、マーク部分(すなわち、第1段階選抜の点数に含まれる)に確率があります。僕自身、確率が非常に苦手で、これといった対策から逃げていましたが、共通テスト、慶應大学本番ではどちらも確率で満点をとることが出来ました。そこで僕が行っていたことについて書いていきたいと思います。(整数は後半で)
まず、けんたろうさんが挙げてらっしゃる参考書をやったことがないので、二者択一は僕にはできません(申し訳ないです) しかし、慶應経済の場合確率はカラクリに気付けば一瞬で解けてしまうが、そのカラクリに気付くのが難しいという問題が多いです。そのため、まずは基礎を徹底することが近道だと思います。僕自身先に述べたように確率が非常に苦手応用問題の対策から逃げてしまって東大の本番の確率は解き切る事が出来ませんでした。しかし、基礎だけは見直しておいたおかげで、他の分野に通づるような発想力でカラクリを見抜き、慶應経済の確率は満点を取れたので、基礎固めを行ってください。確率は、自分が何が分からないのかが分からない分野の最たる例だと思っています。そのため、何が自分を出来なくさせているのかをしっかり分析しましょう。アバウトな解答になってしまい、申し訳ないですが、これが一番の近道だと思います。
そして次に整数についてです。受験数学の整数はかなりパターン化されています。つまり、定石をどれだけ知っているかが鍵になっていると思います。東大や一橋の整数は一筋縄には行かない問題が多いですが、それでも次の三つを使いこなせばできるものが多いです。
①因数分解 ②余りに着目(modを使いこなす) ③範囲を絞る
の3つです。
①の因数分解は、例えばa^2-b^2が素数である、というものでしたら(a-b)(a+b)が素数になるのでa－bかa+bのどちらかが1になるとすぐに分かります。
②の余りに着目は、例えばN^2であれば3で割ったらあまりは0か1にしかなりません。(試して見てください)これが案外使えます。こんな感じで余りに注目します。
③の範囲を絞るは、問題の条件から文字式についてどこまでの数を取れるのか、逆にどこまでしかこの文字は動かないのかを精査することで解答を絞れます。
と言った感じで整数はパターンです。これを意識してみてください。
最後に、僕自身、けんたろうさんが言っていたような東大志望の者でした。そして、周りの結果を見てみると、一橋に受かった友達は全員慶應経済に補欠、または不合格でした。それくらい経済学部Aは難易度が高く、クラスの友達にも28人中5~6人ほど理系がいます。そのため、数学は相当力をつけておくべきです。参考書で言えば、文系数学の良問プラチカ位まで必要だと思います。(僕は東大において数学で圧倒するためにその上の上級問題精講まで手を出したました。)ただ、慶應経済の数学の特徴として時間が超絶足りない、終わるわけない、ことが挙げられるので、難易度と同じくらいに解くスピードを意識すると良いと思います。1d:T1034,こんにちは！確率は苦手な人が多い単元ですよね🥲

まず、定石は覚えるべきです。ただ、難しい確率の問題を解く時には、青チャート的な定石ではなく、その一個上のレベルでの定石を知っておく必要があります！確率が苦手な人はだいたいここで詰まっていることが多いイメージです⭐️

加えて、当然経験値もかなり重要なファクターです。計算が重くなったり、場合分けが多くなったりしがちな範囲なので！最初に解き方の見通しが立たないと解きづらい問題も多いですし、「量をこなす」と「パターン化する」の両方を普段から意識する必要があります。

そこでおすすめなのが、YouTubeにあるMathematics Monster というチャンネルの動画です。僕はこれで確率の難しい定石を学びました！ネット上で問題の一覧もPDFで掲載されているので、印刷したりダウンロードしたりして取り組むことをお勧めします💪🏻

一見海外のチャンネルと思いがちですがちゃんと日本人で日本語なので安心してください！

Mathematics Monster上に確率の問題は32題あり、その全てに解説動画があります。網羅性も非常に高く、解くためのポイントもしっかり喋ったりメモしてくれているので、量とパターン化の両方を同時にこなすことが可能です！

一方で注意点を挙げるとすると、問題の難易度はかなり高いです。青チャートなどを終えていないと、初見で解ける問題は少ないかもしれません。ただ、何度も解いたり解説を聞いたりすることで、確率は絶対得意になります！僕自身がそうだったのでこれは確信を持って言えます！
あとは少し問題が古いです。(過去問演習と被りづらいともいえます)

次に確率だけを扱った参考書についてお答えします！
あくまで個人の意見なので、気になるものは実際に書店で確かめてみてください⚠️⚠️

①合格る確率
これはMathematics Monster と併用するのも有りです。確率は計算がしんどくなりがちな分野なので、合格る確率をこなしておくことで計算ミスを減らしたり、計算にかかる時間を短縮できるメリットがあります。
確率には問題を解くための定石だけでなく、ある程度は計算のパターンも存在します。それをこれで学ぶことができます💪🏻(ただ、計算はMathematics Monsterでも十分過ぎるほど学べます)

②ハッと目覚める確率
これも受験生時代にやっていたことがありますが、ネット上での評価は過大評価だと感じました。(⚠️あくまで個人の意見です)
もちろん解けば力になりますが、Mathematics Monster で十分なように感じます。ただ、ハッと目覚める確率の方が易しい問題が多いのが特徴です！

③標準問題精巧 場合の数・確率
分野別で売っている水色のやつです。網羅性も高く難易度も幅広く、難しめの定石を学ぶのには良いと思います。ただ、問題数が多いので時間がかかることが難点です。

④解法の探究・確率
大学への数学シリーズの参考書です。いわゆる大数の解き方やフォント(初めてだと少し戸惑うかもしれません)が使われています。それに抵抗がなければ非常に良い参考書です。
ただ、問題数がめちゃくちゃ多いので、覚悟を持って取り組んでください！

偉そうにレビューを色々と書かせていただきましたが、個人的には青チャートなどの網羅系→Mathematics Monster が時間的にも量的にも1番のおすすめです。

確率が得意になると数学への不安感がかなり解消されます！
ぜひご参考になさってください⭐️応援しています📣1e:Tcf4,まず、共テ模試でどうして点数が取れないかの原因究明をしましょう。
①時間をかければ解けるのであれば、あとは解き方に慣れることが大事です。
共テ数学にはコツがあります。私も3年の冬ギリギリまで8割にのらず、ひどい時には6割程度しか取れず困っていましたが、やり方を変えるだけで8割きらなくなりました。
以下の方法です。
1.各設問数分と時間を決める。大体、数1・Aなら70分だと思います。第一問、第二問をそれぞれ7分ずつ、第三〜五問(から二つ選ぶ)はそれぞれ5分ずつと決め、解けなくても無理くり次に進むようにしてとりあえず一周終わらせる。データの分析は一周目はガン無視する。
この時点で、数学の基礎的な実力があれば、うまくいけば50点くらいいきます。
データの分析をとばす理由は、点数のコスパが良くないからです。文章や図を読むのも面倒ですよね。もし、次の５つの文から２つ正しいものを選べ。というタイプで３つ正しいと思ったら、もう一回読んで調べるよりテキトーにその３つから２つ選ぶくらいでいいです。どっちかは当たってますから。そんくらいの方が全体的にコスパがいいです。
2.二周目に入る。これもどんなに長くても各設問一周目と合わせて15分以内には終わらせる。これ以降はデータの分析も解く。7〜8割いきます。
3.余った時間で解けそうなものから潰していく。
ここでギリギリまで点数を取っていきます。
後ろの方の問題も、前とたいして点数は大きくありません。なのに、共テ数学は後ろの方の設問ほど重い計算が課されます。なるべく各設問の前半の問題を取り切れば、安定して点数が取れます。また、先に一周して全体を見たという状態の方が気持ちが安定します。

②時間をかけても解けないのであれば、基礎的な部分に知識や演習の不足が考えられます。
難易度的には共テならコンパス３つ目までで十分解けると思いますが、それでも解けないのであればチャートの解き方がマンネリ化している可能性があります。周回しているとだんだんパターンを覚えてきますが、その分頭を使わないで解くようになるので数学の原理的な部分に弱くなりがちです。共テは割とこう言うところを聞いてきます。もしできるのであれば、教科書の公式を証明する、というのをやってみてください。教科書には公式の証明方法がしっかり載っていて理解もできるのに、それが自分ではできない、というのは結構あります。チャートのコンパス３つ目は割と難しいと思いますし、それを解いているのは素晴らしいと思いますが、教科書レベルを完璧にする方が良いこともあります。全ての公式をやれとは言わないので、苦手分野だけでも、とりあえず公式の証明というものをやってみてください。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=WsCPp2UBTqPwDZPu5krK","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"確率の記述が難しいです"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",6,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/5 11:29"}]]}],["$","div",null,{"className":"coach-mark mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_CB5D1FBB116544EBA1ABD082372766CE.jpg?alt=media&token=a97f0ebc-48f4-4924-93ae-2e8cab2dcf0c","clientUserName":"my car","infoString":"高2 福岡県 名古屋工業大学志望","adviceId":"WsCPp2UBTqPwDZPu5krK"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"確率の記述が難しいです。\n例えば、\n男子2人女子6人の計8人います。8人のうち5人選ぶときそのうち3人女子を選ぶ確率は？\nの時に、私はいつも\n\n全事象 8C5=56\n条件    6C3=20\n∴5/14\n\nという風にします。(適当に作った問題なのでこの答えがあってるのは別として)\n確率の記述は模試の模範解答を真似するべきですか？\n真似したら書く量が多いので時間が勿体無い気もします。\n先輩方はどうしてましたか？"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_6D6019B9B3E449E9ADF22674B27EFB03.jpg?alt=media&token=e96fd773-fd47-4662-9ba7-c21191fda56f","adviserName":"mjymj1229","adviserDepartment":"大阪大学経済学部","adviceId":"WsCPp2UBTqPwDZPu5krK"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"初めまして！大阪大学経済学部に所属するものです。\n\n確率の記述はどうしたらいいか、ということですが、上記の問題についてはそれでいいと思います！\n\nただ、問題に出て来る数値だけでは計算できない問題(自分で解釈しなければならない)、場合分けが必要な問題については、ある程度日本語が必要になって来ます。問題に書かれている数値だけで解ける問題、難しい解釈を必要としない問題については基礎力を問われ、それ以降の問題については基礎力に加え、応用力、思考の正しさも問われるからです。\n\nそれでも全部日本語で書いていては時間が足りなくなるので、数式記号を覚えるのが良いと思います。時間の短縮にもなりますし、スマートでエレガントな解答になるのでおすすめです。\n\n参考にしていただければ幸いです！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_6D6019B9B3E449E9ADF22674B27EFB03.jpg?alt=media&token=e96fd773-fd47-4662-9ba7-c21191fda56f","adviserName":"mjymj1229","adviserDepartment":"大阪大学経済学部","adviceId":"WsCPp2UBTqPwDZPu5krK","numberOfFan":7,"clipsAvg":14.625,"adviceRateAvg":4.375,"profile":"大阪大学の経済学部に通う大学3年生。\n\nセンターは理系(化学物理)で受験、二次は国数英。\n\n「勉強は工夫」がモットー。具体的な問題には答えられませんが、長い目で見た受験戦略、効率的な勉強方法、部活との両立(インターハイ出場しました)については力になれると思います！"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"場合の数・確率がどうしてもできません"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"苦手分野だからといって、捨てることはあまりオススメしません。\n\n残り時間が少ないから、限られた勉強時間でとれる得点を上げるために…と考えたくなるのはよくわかります。選択問題では苦手分野を回避できますが、2次試験では全員に同じ問題が課されます。たとえば、基礎レベルの確率分野の問題でるかもしれません。難易度が高くないなら正答率は高くなるでしょう。ですが、苦手分野だからといって捨てれば、周りとかなり差をつけられてしまいます。ですので、苦手分野であれど、苦手なりに対策しておくことが大切になってくると思います。\n\nたとえばセンターの選択問題で、時間を測るときは図形を選ぶが、あとで確率分野も解いてみる。青チャート等の問題を全て解くのは厳しいけど、このレベルまでは解けるようにしておく。など、苦手なりではあるけれど、対策をしてほしいと思います。少しでもやっときゃよかった…と後悔してるときには遅いので…\n\n残りの期間、頑張ってください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"整数、確率が苦手すぎます"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは！回答が遅くなってすみません！\n確率と整数は自分自身得意としていたので、答えさせていただきます！\n\nまずいずれにも共通することですが、青チャートやFocus goldの例題レベルの問題は確実に網羅してください！この基礎が発展的な問題を解くのに必ず必要になります。ですので、まずこの部分が抜けていたら、確認しておくようにしてください！\n\n確率についてです。確率はとにかく事象を文章から図などへと可視化してみましょう！どのような動きが起こっているのか、どのような特徴があるのか、それを分かりやすくするのです。この動作は慣れないといけないので、何問かやってみるといいです。とにかく文章を分かりやすくしてみることを意識してみてください。文章では見えなかった情報が浮かび上がってくるはずです。また、それでも厳しければ、青チャートなどの例題で似た問題がないか思い浮かべ、その解き方を真似してみてください！\nそれを何問しても厳しければ、「合格る確率」という参考書を購入して、stage3のみやることをおすすめします。stage3のみといったのは、それが最も入試に頻出かつ全パターンを網羅しているいいレベルの問題だからです。そのパターンを全て覚えましょう！\n\n次に、整数です。整数は確率より厄介な問題が多いですが、基本的にはあのユークリッドの互除法を用いた不定方程式の解法パターンを覚えておけば基本はOKです。そして整数問題が出てきた時は、このパターンの発展系ではないか確認してみましょう。\nまた、整数では、学校では言われないよく出るパターンがあるのです。例えば、平方数はmod3、4を使うと数を絞れる、などです。これは、YouTubeのPASSLABOというチャンネルで整数全パターン解説という動画で整数を全部網羅してみるので、よかったらやってみてください！(回し者ではないです笑)\n\n確率と整数は個人的に数3よりも難しいなと思います。ですので、まとまった時間をとって集中的にやってみるといいです！応援しています！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"文法問題や並べ替えで間違える"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應の経済学部の者です。\n\n並べ替え問題ができない理由は主に2つ挙げられます。\n\n❶文法事項が有機的に結びついていない。\n問われている文法事項が１つだと答えられるのに、問われることが2つや3つになると出来ないなんてことありませんか？\nこれは❷にも繋がる話なんですが、並べ替えで組み合わせる文法事項の組み合わせなどをきっちり個々に理解しておく必要があります。\n苦手な事項等があれば早急に理解して、問題も解けるようにしてください。\n\n❷並べ替えの経験不足\nだいたい並べ替え問題で問われることなんて決まってます。\n問題数をこなせば『あ〜あのパターンね』みたいに問題か解けるようになります。\n場合によっては単語見ただけですぐ並べ替えのパターンが見えることだってありまふ笑\n漫然と問題を解かずに、しっかり何が問われているかを意識しながら問題を解いてみてください。\n\n僕からのアドバイスはこれくらいです。\n是非意識してみてください！\n応援しています！頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 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