await VS Wait() when Task throws exception.cs

using System;
using System.Threading.Tasks;
					
public class Program
{
	public static void Main()
	{
		Program.MainAsync().Wait();
	}
	
	private static async Task MainAsync()
	{
		var task = Task.Run(
			() =>
			{
				throw new ArgumentNullException();
			}
		);
		
		try
		{
			await task;    // (1)
			//task.Wait(); // (2)
		}
		catch(Exception ex)
		{
			Console.WriteLine(ex.ToString());
			Console.WriteLine($"Task.Status: {task.Status}");
			Console.WriteLine($"Task.IsFaulted: {task.IsFaulted}");
			Console.WriteLine($"Task.Exception: {((task.Exception == null) ? "null" : task.Exception.ToString())}");
		}
	}
}