要从公共Google Drive文件夹加载图片到ImageView，并实现随机工作，可以按照以下步骤进行操作：

1. 首先，确保已将Google Drive API添加到您的Android项目中。您可以在项目的build.gradle文件中添加以下依赖项：

implementation 'com.google.android.gms:play-services-drive:17.0.0'
implementation 'com.google.android.gms:play-services-auth:19.0.0'
implementation 'com.google.android.gms:play-services-base:17.0.0'
implementation 'com.google.android.gms:play-services-identity:19.0.0'

2. 在AndroidManifest.xml文件中添加以下权限：

3. 创建一个名为GoogleDriveService的类，用于处理与Google Drive API的通信。在该类中，您需要添加以下代码：

import android.content.Context;

import com.google.android.gms.auth.api.signin.GoogleSignIn;
import com.google.android.gms.auth.api.signin.GoogleSignInAccount;
import com.google.android.gms.common.api.ApiException;
import com.google.android.gms.tasks.Task;
import com.google.api.client.extensions.android.http.AndroidHttp;
import com.google.api.client.googleapis.auth.oauth2.GoogleCredential;
import com.google.api.client.googleapis.extensions.android.gms.auth.GoogleAccountCredential;
import com.google.api.client.googleapis.json.GoogleJsonResponseException;
import com.google.api.client.http.HttpTransport;
import com.google.api.client.json.JsonFactory;
import com.google.api.client.json.gson.GsonFactory;
import com.google.api.services.drive.Drive;
import com.google.api.services.drive.DriveScopes;
import com.google.api.services.drive.model.File;
import com.google.api.services.drive.model.FileList;

import java.io.IOException;
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;

public class GoogleDriveService {
    private static final String APPLICATION_NAME = "Your Application Name";
    private static final JsonFactory JSON_FACTORY = GsonFactory.getDefaultInstance();
    private static final List SCOPES = Collections.singletonList(DriveScopes.DRIVE_READONLY);
    private static final String FOLDER_ID = "Your Folder ID";

    private final Drive driveService;

    public GoogleDriveService(Context context) {
        GoogleAccountCredential credential = GoogleAccountCredential.usingOAuth2(context, SCOPES);
        GoogleSignInAccount account = GoogleSignIn.getLastSignedInAccount(context);
        if (account != null) {
            credential.setSelectedAccount(account.getAccount());
        }
        HttpTransport httpTransport = AndroidHttp.newCompatibleTransport();
        driveService = new Drive.Builder(httpTransport, JSON_FACTORY, credential)
                .setApplicationName(APPLICATION_NAME)
                .build();
    }

    public List getImageUrls() {
        List imageUrls = new ArrayList<>();
        try {
            FileList result = driveService.files().list()
                    .setQ("'" + FOLDER_ID + "' in parents")
                    .setFields("files(webViewLink)")
                    .execute();
            List files = result.getFiles();
            if (files != null) {
                for (File file : files) {
                    imageUrls.add(file.getWebViewLink());
                }
            }
        } catch (GoogleJsonResponseException e) {
            e.printStackTrace();
        } catch (IOException e) {
            e.printStackTrace();
        }
        return imageUrls;
    }
}

4. 在您的Activity中，添加以下代码来加载随机图片到ImageView：

import android.os.Bundle;
import android.view.View;
import android.widget.Button;
import android.widget.ImageView;

import com.squareup.picasso.Picasso;

import java.util.List;
import java.util.Random;

public class MainActivity extends AppCompatActivity {
    private ImageView imageView;
    private Button loadButton;
    private GoogleDriveService googleDriveService;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);

        imageView = findViewById(R.id.image_view);
        loadButton = findViewById(R.id.load_button);
        googleDriveService = new GoogleDriveService(this);

        loadButton.setOnClickListener(new View.OnClickListener() {
            @Override
            public void onClick(View v) {
                loadImageFromDrive();
            }
        });
    }

    private void loadImageFromDrive() {
        List imageUrls = googleDriveService.getImageUrls();
        if (!imageUrls.isEmpty()) {
            String randomImageUrl = getRandomImageUrl(imageUrls);
            Picasso.get().load(randomImageUrl).into(imageView);
        }
    }

    private String getRandomImageUrl(List imageUrls) {
        Random random = new Random();
        int randomIndex = random.nextInt(imageUrls.size());
        return imageUrls.get(randomIndex);
    }
}

5. 在activity_main.xml布局文件中，添加